From d958867150a99a9c4a707236514c09de454cfe92 Mon Sep 17 00:00:00 2001 From: TobiKattmann Date: Sat, 4 Dec 2021 12:09:28 +0100 Subject: [PATCH 01/10] Add species transport theory draft --- _docs_v7/Theory.md | 29 +++++++++++++++++++++++++++++ 1 file changed, 29 insertions(+) diff --git a/_docs_v7/Theory.md b/_docs_v7/Theory.md index 3b1ebfd6..1078d5c4 100644 --- a/_docs_v7/Theory.md +++ b/_docs_v7/Theory.md @@ -12,6 +12,7 @@ This page contains a very brief summary of the different governing equation sets - [Incompressible Navier-Stokes](#incompressible-navier-stokes) - [Incompressible Euler](#incompressible-euler) - [Turbulence Modeling](#turbulence-modeling) +- [Species Transport](#species-transport) - [Elasticity](#elasticity) - [Heat Conduction](#heat-conduction) @@ -169,6 +170,34 @@ Within the turbulence solvers, we discretize the equations in space using a fini --- +# Species Transport # + +Compatible with `NAVIER_STOKES`, `RANS`, `INC_NAVIER_STOKES`, `INC_RANS` + +$$ \mathcal{R}(U) = \frac{\partial U}{\partial t} + \nabla \cdot \bar{F}^{c}(U) - \nabla \cdot \bar{F}^{v}(U,\nabla U) - S = 0 $$ + +where the conservative variables (which are also the working variables) are given by + +$$U=\left\lbrace \rho Y_1, ..., \rho Y_{N-1} \right\rbrace ^\mathsf{T}$$ + +with $$Y_i$$ $$[-]$$ being the species mass fraction. And + +$$\sum_{i=0}^N Y_i = 1 \Rightarrow Y_N = 1 - \sum_{i=0}^{N-1} Y_i$$ + +$$S$$ is a generic source term, and the convective and viscous fluxes are + +$$\bar{F}^{c}(V) = \left\{\begin{array}{c} \rho Y_1 \bar{v} \\ ... \\\rho Y_{N-1} \, \bar{v} \end{array} \right\}$$ + +$$\bar{F}^{v}(V,\nabla V) = \left\{\begin{array}{c} D \nabla Y_{1} \\ ... \\ D \nabla Y_{N-1} \end{array} \right\} $$ + +with $$D$$ $$[m^2/s]$$ being the mass diffusion. + +$$D = D_{lam} + \frac{\mu_T}{Sc_{T}}$$ + +where $$\mu_T$$ is the eddy viscosity and $$Sc_{T}$$ $$[-]$$ the turbulent Schmidt number. + +--- + # Elasticity # | Solver | Version | From b150c5b37a2854bac820a3aa433a212abddcd57a Mon Sep 17 00:00:00 2001 From: TobiKattmann Date: Sun, 5 Dec 2021 14:16:37 +0100 Subject: [PATCH 02/10] Make primal tutorial and allocate stuff for design tutorial --- _data/tutorials.yml | 2 + .../Species_Transport/Species_Transport.md | 196 ++++++++++++++++++ .../Inc_Species_Transport.md | 159 ++++++++++++++ _tutorials/index.md | 10 +- .../images/VelocityMag.jpg | Bin 0 -> 72820 bytes .../Inc_Species_Transport/images/mesh.jpg | Bin 0 -> 250434 bytes .../images/residuals_specMix.png | Bin 0 -> 1191178 bytes .../images/speciesMassFractions.jpg | Bin 0 -> 106408 bytes 8 files changed, 364 insertions(+), 3 deletions(-) create mode 100644 _tutorials/design_features/Species_Transport/Species_Transport.md create mode 100644 _tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md create mode 100644 tutorials_files/incompressible_flow/Inc_Species_Transport/images/VelocityMag.jpg create mode 100644 tutorials_files/incompressible_flow/Inc_Species_Transport/images/mesh.jpg create mode 100644 tutorials_files/incompressible_flow/Inc_Species_Transport/images/residuals_specMix.png create mode 100644 tutorials_files/incompressible_flow/Inc_Species_Transport/images/speciesMassFractions.jpg diff --git a/_data/tutorials.yml b/_data/tutorials.yml index f6521272..d0968b56 100644 --- a/_data/tutorials.yml +++ b/_data/tutorials.yml @@ -26,6 +26,7 @@ - Inc_Laminar_Step - Inc_Laminar_Cavity - Inc_Streamwise_Periodic + - Inc_Species_Transport - title: Structural Mechanics tutorials: @@ -48,6 +49,7 @@ - Inviscid_3D_Constrained_ONERAM6 - Multi_Objective_Shape_Design - Unsteady_Shape_Opt_NACA0012 + - Species_Transport - title: Event Content tutorials: diff --git a/_tutorials/design_features/Species_Transport/Species_Transport.md b/_tutorials/design_features/Species_Transport/Species_Transport.md new file mode 100644 index 00000000..ff575c60 --- /dev/null +++ b/_tutorials/design_features/Species_Transport/Species_Transport.md @@ -0,0 +1,196 @@ +--- +title: Unconstrained shape design of a two way mixing channel +permalink: /tutorials/Species_Transport/ +written_by: TobiKattmann +for_version: 7.2.1 +revised_by: +revision_date: +revised_version: +solver: INC_RANS +requires: SU2_CFD, FADO +complexity: advanced +follows: Inc_Species_Transport +--- + +## Goals + +Upon completing this tutorial, the SU2 user will be familiar with performing a constrained optimal shape design of a 2D airfoil geometry. The airfoil geometry chosen for this tutorial is a RAE2822 airfoil (AGARD Report AR 138, 1979) at transonic speed in viscous turbulent fluid and constant CL. The following SU2 tools will be showcased in this tutorial: +- **SU2_CFD** - performs the direct flow simulations +- **SU2_CFD_AD** - performs the adjoint flow simulations using automatic differentiation +- **SU2_DOT_AD** - projects the adjoint surface sensitivities into the design space to obtain the gradient +- **SU2_DEF** - deforms the geometry and mesh with changes in the design variables during the shape optimization process +- **SU2_GEO** - evaluates the thickness of airfoil and its gradient with respect to each design variable. +- **shape_optimization.py** - automates the entire shape design process by executing the SU2 tools and optimizer + +We will walk through the shape design process and highlight several options related to the discrete adjoint (Automatic Differentiation) in SU2 and the configuration options for shape design. + +## Resources + +You can find the resources for this tutorial in the folder [design/Turbulent_2D_Constrained_RAE2822](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822) in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the mesh file [mesh_RAE2822_turb.su2](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/mesh_RAE2822_turb.su2), the config file [turb_SA_RAE2822.cfg](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/turb_SA_RAE2822.cfg) and initial solution files for the solver and adjoint [solution_flow.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/solution_flow.dat), [solution_adj_cd.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/solution_adj_cd.dat), and [solution_adj_cmz.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/solution_adj_cmz.dat). + +## Tutorial + +The following tutorial will walk you through the steps required when performing shape design for the transonic turbulent airfoil using SU2 and the automatic differentiation tool. It is assumed that you have already obtained and compiled SU2_CFD, SU2_CFD_AD, SU2_DOT, SU2_DOT_AD, SU2_GEO, and SU2_DEF. The design loop is driven by the shape_optimization.py script, and thus Python along with the NumPy and SciPy Python modules are required for this tutorial. If you have yet to complete these requirements, please see the [Download](/docs_v7/Download/) and [Installation](/docs_v7/Installation/) pages. And do not forget to compile with the [adjoint mode capability](/docs_v7/Build-SU2-Linux-MacOS/#basic-configuration). + +### Background + +We start with a baseline geometry (RAE 2822) and grid as input to our design cycle, along with a chosen objective function, constraints and set of design variables. For this tutorial, drag coefficient at a constant lift coefficient will be our objective function. In terms of constraints we will use pitching moment and airfoil thickness. As in the NACA 0012 case, we will use Hicks-Henne bump functions to parameterize the shape (design variables). + +By launching the shape_optimization.py script, a gradient-based optimizer will orchestrate the design cycle consisting of the flow solver, adjoint solver, geometry evaluation, and geometry/mesh deformation tools available in SU2. This iterative design loop will proceed until a minimum is found or until reaching a maximum number of optimizer iterations. Many useful output files will be available to you at the conclusion. + +### Problem Setup + +The flow conditions of this numerical experiment are such that a transonic shock appear on the upper surface causing shock induced separation, which causes drag. The goal of the design process is to minimize the coefficient of drag at a constant lift value by changing the shape of the airfoil and everything reducing the pitching moment and keeping a minimum thickness. This problem will solve the RANS and adjoint RANS (drag at cte. lift objective function and pitching moment constraint) equations on the RAE 2822 airfoil at a lift coefficient value of 0.724 using air with the following free-stream conditions: + +- Temperature = 288.15 K +- Mach number = 0.8 +- Reynolds number = 6.5E6 + +Remember that the free-stream pressure is computed from this values (assuming perfect gas). +### Mesh Description + +The mesh consists of a far-field boundary and a Navier-Stokes wall (non-slip) along the airfoil surface. The mesh can be seen in Figure (1). + +![RAE 2822 Mesh](../../tutorials_files/design_features/Turbulent_2D_Constrained_RAE2822/images/rae_mesh.png) +Figure (1): Zoom view of the initial computational mesh. + +### Configuration File Options + +Several of the key configuration file options for this simulation are highlighted here. First, we note that we are choosing a drag objective and pitching moment constraint. A number of objective functions/constraitns are implemented in SU2, and we recommend that you check the config_template.cfg file in the root directory for a list of those that are available. +``` +% --------------------- OPTIMAL SHAPE DESIGN DEFINITION -----------------------% +% +% Optimization objective function with scaling factor, separated by semicolons. +% To include quadratic penalty function: use OPT_CONSTRAINT option syntax within the OPT_OBJECTIVE list. +% ex= Objective * Scale +OPT_OBJECTIVE= DRAG +% +% Optimization constraint functions with pushing factors (affects its value, not the gradient in the python scripts), separated by semicolons +% ex= (Objective = Value ) * Scale, use '>','<','=' +OPT_CONSTRAINT= ( MOMENT_Z < 0.093 ) * 0.001; ( AIRFOIL_THICKNESS > 0.12 ) * 0.001 +``` +In this particular case we are running at a constant lift value, in order to set that feature the relevant part of the configuration file is presented below. The `FIXED_CL_MODE` works by updating the angle of attack (AoA) during the simulation run such that the resulting CL matches the `TARGET_CL` value. The `UPDATE_AOA_ITER_LIMIT` specifies the maximum number of iterations between two AoA updates. The AoA might update sooner if the solution converges (as defined by the convergence parameters) to the wrong CL. The level of CL convergence can be specified by the `CAUCHY_EPS` value which is defined in the Convergence Parameters. `DCL_DALPHA` is the proportional constant that is used to calculate the change in AoA when it updates (Change in AoA = (TARGET_CL - CURRENT_CL)/DCL_DALPHA). The `ITER_DCL_DALPHA` defines the number of iterations that the run to calculate dCL/dAlpha at the end of the Fixed CL simulation. This calculated value is used by the adjoint to give more accurate gradients with respect to the objective function, when the optimization is run in Fixed CL mode. + +``` +% -------------------------- CL DRIVER DEFINITION -----------------------------% +% +% Activate fixed lift mode (specify a CL instead of AoA, NO/YES) +FIXED_CL_MODE= YES +% +% Target coefficient of lift for fixed lift mode (0.80 by default) +TARGET_CL= 0.724 +% +% Estimation of dCL/dAlpha (0.2 per degree by default) +DCL_DALPHA= 0.2 +% +% Maximum number of iterations between AoA updates +UPDATE_AOA_ITER_LIMIT= 100 +% +% Number of iterations to evaluate dCL/dAlpha at the end of the simulation +ITER_DCL_DALPHA= 500 +% +% Evaluate dObjFunc/dCL during runtime (YES) or use the value stored in the +% direct solution file (NO). +EVAL_DOF_DCX= NO +``` + +The options that specify the optimal shape design problem are: +``` +% --------------------- OPTIMAL SHAPE DESIGN DEFINITION -----------------------% +% +% Optimization objective function with scaling factor, separated by semicolons. +% To include quadratic penalty function: use OPT_CONSTRAINT option syntax within the OPT_OBJECTIVE list. +% ex= Objective * Scale +OPT_OBJECTIVE= DRAG +% +% Optimization constraint functions with pushing factors (affects its value, not the gradient in the python scripts), separated by semicolons +% ex= (Objective = Value ) * Scale, use '>','<','=' +OPT_CONSTRAINT= ( MOMENT_Z < 0.093 ) * 0.001; ( AIRFOIL_THICKNESS > 0.12 ) * 0.001 +% +% Factor to reduce the norm of the gradient (affects the objective function and gradient in the python scripts) +% In general, a norm of the gradient ~1E-6 is desired. +OPT_GRADIENT_FACTOR= 1E-6 +% +% Factor to relax or accelerate the optimizer convergence (affects the line search in SU2_DEF) +% In general, surface deformations of 0.01'' or 0.0001m are desirable +OPT_RELAX_FACTOR= 1E2 +% +% Maximum number of iterations +OPT_ITERATIONS= 100 +% +% Requested accuracy +OPT_ACCURACY= 1E-10 +% +% Optimization bound (bounds the line search in SU2_DEF) +OPT_LINE_SEARCH_BOUND= 1E6 +% +% Upper bound for each design variable (bound in the python optimizer) +OPT_BOUND_UPPER= 1E10 +% +% Lower bound for each design variable (bound in the python optimizer) +OPT_BOUND_LOWER= -1E10 +% +% Optimization design variables, separated by semicolons +DEFINITION_DV= ( 30, 1.0 | AIRFOIL | 0, 0.05 ); ( 30, 1.0 | AIRFOIL | 0, 0.10 ); ( 30, 1.0 | AIRFOIL | 0, 0.15 ); ( 30, 1.0 | AIRFOIL | 0, 0.20 ); ( 30, 1.0 | AIRFOIL | 0, 0.25 ); ( 30, 1.0 | AIRFOIL | 0, 0.30 ); ( 30, 1.0 | AIRFOIL | 0, 0.35 ); ( 30, 1.0 | AIRFOIL | 0, 0.40 ); ( 30, 1.0 | AIRFOIL | 0, 0.45 ); ( 30, 1.0 | AIRFOIL | 0, 0.50 ); ( 30, 1.0 | AIRFOIL | 0, 0.55 ); ( 30, 1.0 | AIRFOIL | 0, 0.60 ); ( 30, 1.0 | AIRFOIL | 0, 0.65 ); ( 30, 1.0 | AIRFOIL | 0, 0.70 ); ( 30, 1.0 | AIRFOIL | 0, 0.75 ); ( 30, 1.0 | AIRFOIL | 0, 0.80 ); ( 30, 1.0 | AIRFOIL | 0, 0.85 ); ( 30, 1.0 | AIRFOIL | 0, 0.90 ); ( 30, 1.0 | AIRFOIL | 0, 0.95 ); ( 30, 1.0 | AIRFOIL | 1, 0.05 ); ( 30, 1.0 | AIRFOIL | 1, 0.10 ); ( 30, 1.0 | AIRFOIL | 1, 0.15 ); ( 30, 1.0 | AIRFOIL | 1, 0.20 ); ( 30, 1.0 | AIRFOIL | 1, 0.25 ); ( 30, 1.0 | AIRFOIL | 1, 0.30 ); ( 30, 1.0 | AIRFOIL | 1, 0.35 ); ( 30, 1.0 | AIRFOIL | 1, 0.40 ); ( 30, 1.0 | AIRFOIL | 1, 0.45 ); ( 30, 1.0 | AIRFOIL | 1, 0.50 ); ( 30, 1.0 | AIRFOIL | 1, 0.55 ); ( 30, 1.0 | AIRFOIL | 1, 0.60 ); ( 30, 1.0 | AIRFOIL | 1, 0.65 ); ( 30, 1.0 | AIRFOIL | 1, 0.70 ); ( 30, 1.0 | AIRFOIL | 1, 0.75 ); ( 30, 1.0 | AIRFOIL | 1, 0.80 ); ( 30, 1.0 | AIRFOIL | 1, 0.85 ); ( 30, 1.0 | AIRFOIL | 1, 0.90 ); ( 30, 1.0 | AIRFOIL | 1, 0.95 ) +``` +The `OPT_GRADIENT_FACTOR` of 1E-6 is chosen to reduce the value of the gradient norm (based on our experience, for the SLSQP python implementation a norm of the gradient ~1E-6 is desired) and `OPT_RELAX_FACTOR` of 1E2 is used to aid the optimizer in taking a physically appropriate first step (i.e., not too small that the optimizer is not able to detect a change in the objective function or too large that the subsequent calculations go unstable due to a large, non-physical deformation). + +The SLSQP optimizer from the SciPy package for Python is the default optimizer called by the shape_optimization.py script. In addition to the hooks to the objective and gradient functions, this optimizer accepts options for the maximum number of optimizer iterations (`OPT_ITERATIONS`), requested accuracy (`OPT_ACCURACY`), and design variable bounds (`OPT_BOUND_UPPER`, `OPT_BOUND_LOWER`). During the optimization process, the SLSQP optimizer will call the flow and adjoint problems as necessary to take the next step in the design space. However, note that the optimizer will often make multiple function calls per major optimizer iteration in order to compute the next step size. + +The `DEFINITION_DV` is the list of design variables. For the airfoil problem, we want to minimize the drag by changing the surface profile shape. To do so, we define a set of Hicks-Henne bump functions. Each design variable is separated by a semicolon, although **note that there is no final semicolon at the end of the list**. + +The first value in the parentheses is the variable type, which is 30 for a Hicks-Henne bump function. The second value is the scale of the variable (typically left as 1.0). The name between the vertical bars is the marker tag where the variable deformations will be applied. Only the airfoil surface will be deformed in this problem. The final two values in the parentheses specify whether the bump function is applied to the upper (1) or lower (0) side and the x-location of the bump between 0 and 1 (we assume a chord of 1.0 for the Hicks-Henne bumps), respectively. + +Note that there are many other types of design variables available in SU2 (including 2D FFD), and each has their own specific input format. 3D design variables based on the free-form deformation approach (FFD) will be discussed in another tutorial. + +![RAE 2822 Pressure](../../tutorials_files/design_features/Turbulent_2D_Constrained_RAE2822/images/rae2822_pressure.png) +Figure (2): Pressure contours for the baseline RAE 2822 airfoil. + +### Running SU2_GEO + +To prepare the ground for the optimization with geometrical constraints we execute the SU2_GEO software by typing +``` +$ SU2_GEO turb_SA_RAE2822.cfg +``` +The screen output of this software provides useful geometrical information (airfoil thickness, chord, etc). + +### Running SU2 + +The discrete adjoint methodology for obtaining surface sensitivities is implemented for several equation sets within SU2. After solving the direct flow problem, the adjoint problem is also solved which offers an efficient approach for calculating the gradient of an objective function and constraints with respect to a large set of design variables. This leads directly to a gradient-based optimization framework. With each design iteration, the direct and adjoint solutions are used to compute the objective function and gradient, and the optimizer drives the shape changes with this information in order to minimize the objective. Two other SU2 tools are used to compute the gradient from the adjoint solution (SU2_DOT_AD) and deform the computational mesh (SU2_DEF) during the process. Note that if a geometrical constraint is added, its value and gradient will be computed by SU2_GEO + +![RAE 2822 Adjoint](../../tutorials_files/design_features/Turbulent_2D_Constrained_RAE2822/images/rae2822_psi_density.png) +Figure (3): Adjoint density contours on the baseline RAE 2822 airfoil. + +To run this design case, follow these steps at a terminal command line: +1. Move to the directory containing the config file ([turb_SA_RAE2822.cfg](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ turb_SA_RAE2822.cfg) the mesh file ([mesh_RAE2822_turb.su2](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ mesh_RAE2822_turb.su2)) and the solution files ([solution_flow.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ solution_flow.dat)), ([solution_adj_cd.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ solution_adj_cd.dat)), and ([solution_adj_cmz.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ solution_adj_cmz.dat)). Assuming that SU2 tools were compiled, installed, and that their install location was added to your path, the shape_optimization.py script, SU2_CFD, SU2_CFD_AD, SU2_DOT, SU2_DOT_AD, SU2_GEO and SU2_DEF should all be available. + +2. Execute the shape optimization script by entering + +``` +$ python shape_optimization.py -g DISCRETE_ADJOINT -o SLSQP -f turb_SA_RAE2822.cfg +``` + +at the command line. Again, note that Python, NumPy, and SciPy are all required to run the script. If the compilation of the software have be done in parallel then we will add the option +``` +$ python shape_optimization.py -n #cores -g DISCRETE_ADJOINT -o SLSQP -f turb_SA_RAE2822.cfg +``` +where #cores is the number of cores. Depending of the installation, the keyword python maybe not required. + + +3. The python script will drive the optimization process by executing flow solutions, adjoint solutions, gradient projection, and mesh deformation in order to drive the design toward an optimum. The optimization process will cease when certain tolerances set within the SciPy optimizer are met. + +4. Solution files containing the flow and surface data will be written for each flow solution and adjoint solution and can be found in the DESIGNS directory that is created. The flow solutions are in the DESIGNS/DSN_*/DIRECT/ directories. The file named history_project.dat (or history_project.csv for ParaView) will contain the functional values of interest resulting from each evaluation during the optimization. + +### Results for the optimal shape design problem: + +![Mesh with boundary conditions](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/mesh.jpg) +Figure (4): Cp distribution comparison for the initial and final airfoil designs. + +![RAE 2822 Final History Objective Function](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/residuals_specMix.png) +Figure (5): Objective function evaluation history during the optimization process. + +![RAE 2822 Final History Constraints](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/speciesMassFractions.jpg) +Figure (6): Constraints evaluation history during the optimization process. + +![RAE 2822 Final History Constraints](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/VelocityMag.jpg) +Figure (6): Constraints evaluation history during the optimization process. \ No newline at end of file diff --git a/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md b/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md new file mode 100644 index 00000000..47ed8ca6 --- /dev/null +++ b/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md @@ -0,0 +1,159 @@ +--- +title: Species Transport +permalink: /tutorials/Inc_Species_Transport/ +written_by: TobiKattmann +for_version: 7.2.1 +revised_by: +revision_date: +revised_version: +solver: INC_RANS +requires: SU2_CFD +complexity: intermediate +follows: Inc_Turbulent_Flat_Plate +--- + + +## Goals + +Upon completing this tutorial, the user will be familiar with adding passive species transport equations to an incompressible or compressible flow problem. The necessary steps and config options will be explained with the example of a simple 2D incompressible mixing channel system. Output options will be explained as well. + +Limitations: Mixture dependent fluid properties are not available yet. The mass diffusion coefficient can only be chosen as a constant for a all species transport equations. + +## Resources + +The resources for this tutorial can be found in the [incompressible_flow/Inc_Species_Transport](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Species_Transport) directory in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the configuration file ([species3_primitiveVenturi.cfg](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Species_Transport/species3_primitiveVenturi.cfg)) and the mesh file ([primitiveVenturi.su2](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Species_Transport/primitiveVenturi.su2)). + +The mesh is created using [gmsh](https://gmsh.info/) and a respective `.geo` script is available to recreate/modify the mesh [primitiveVenturi.geo](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Species_Transport/primitiveVenturi.geo). The mesh is fully structured (i.e. only contains Quadrilateral elements) with 3364 elements and 3510 points. A progression towards walls is used but the mesh resolution is for demonstration purposes only. The small size also makes it ideal for code development. + +![Mesh with boundary conditions](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/mesh.jpg) +Figure (1): Computational mesh with color indication of the used boundary conditions. + +## Prerequisites + +The following tutorial assumes you already compiled `SU2_CFD` in serial or parallel, please see the [Download](/docs_v7/Download/) and [Installation](/docs_v7/Installation/) if that is not done yet. Additionally it is advised to perform an entry level incompressible tutorial first, as this tutorial only goes over species transport + +### Background + +The geometry with two separate inlets, a junction where the two feeders meet and a nozzle leading to an outlet, resembles loosely a venturi mixer. The geometry massively simplifies these design principles. The material properties and provided mass fractions at the inlet are for demonstration purposes. + +## Problem Setup + +The material properties of the incompressible mean flow represent air: +- Density (constant) = 1.1766 kg/m^3 +- Viscosity (constant) = 1.716e-5 kg/(m-s) +- Inlet Velocities (constant) = 1 m/s in normal direction +- Outlet Pressure (constant) = 0 Pa + +The SST turbulence model is used with the default settings of freestream turbulence intensity of 5% and a turbulent-to-laminar viscosity ratio of 10. + +The material properties specific to the species transport equations are: +- Mass Diffusivity (constant) = 1e-3 m^2/s +- Mass fractions at the eastern inlet: 0.5, 0.5 +- Mass fractions at the northern inlet: 0.6, 0.0 + +## Configuration File Options + +All available options concerning species transport are listed below as they occur in the [config_template.cfg](https://github.com/su2code/SU2/blob/master/config_template.cfg). + +The options as of now are fairly limited. Species transport is switched on by setting `KIND_SCALAR_MODEL= PASSIVE_SCALAR`. The `DIFFUSIVITY_MODEL= CONSTANT_DIFFUSIVITY` is currently the only available therefore the only additional choice the value of `DIFFUSIVITY_CONSTANT`. For the `SCHMIDT_NUMBER_TURBULENT` please consult [the respective theory](/docs_v7/Theory/#species-transport). + +The number of species transport equations is not set individually but deduced from the number of values given in the respective lists for species options. SU2 checks whether the same amount of values is given in each option and solves the appropriate amount of equations. `MARKER_INLET_SPECIES` is one of these options and has to be used alongside a usual `MARKER_INLET`. For outlets, symmetries or walls this is not necessary. + +The option `SPECIES_USE_STRONG_BC` should be left to `NO` and is an experimental option where a switch to strongly enforced boundary conditions can be made. + +For `CONV_NUM_METHOD_SPECIES= SCALAR_UPWIND` a second order MUSCL reconstruction and multiple limiters are available. + +The `TIME_DISCRE_SPECIES` can be either an implicit or explicit euler and a CFL reduction coefficient `CFL_REDUCTION_SPECIES` compared to the regular `CFL_NUMBER` is available. + +The iniital species mass fractions are given by the list `SPECIES_INIT= 1.0, ...`. + +`SPECIES_CLIPPING= YES` with the respective lists for min and max enforces a strict lower and upper limit for the mass fraction solution used by the solver. + +``` +% --------------------- SPECIES TRANSPORT SIMULATION --------------------------% +% +% Specify scalar transport model (NONE, PASSIVE_SCALAR) +KIND_SCALAR_MODEL= NONE +% +% Mass diffusivity model (CONSTANT_DIFFUSIVITY) +DIFFUSIVITY_MODEL= CONSTANT_DIFFUSIVITY +% +% Mass diffusivity if DIFFUSIVITY_MODEL= CONSTANT_DIFFUSIVITY is chosen. D_air ~= 0.001 +DIFFUSIVITY_CONSTANT= 0.001 +% +% Turbulent Schmidt number of mass diffusion +SCHMIDT_NUMBER_TURBULENT= 0.7 +% +% Inlet Species boundary marker(s) with the following format: +% (inlet_marker, Species1, Species2, ..., SpeciesN-1, inlet_marker2, Species1, Species2, ...) +MARKER_INLET_SPECIES= (inlet, 0.5, ..., inlet2, 0.6, ...) +% +% Use strong inlet and outlet BC in the species solver +SPECIES_USE_STRONG_BC= NO +% +% Convective numerical method for species transport (SCALAR_UPWIND) +CONV_NUM_METHOD_SPECIES= SCALAR_UPWIND +% +% Monotonic Upwind Scheme for Conservation Laws (TVD) in the species equations. +% Required for 2nd order upwind schemes (NO, YES) +MUSCL_SPECIES= NO +% +% Slope limiter for species equations (NONE, VENKATAKRISHNAN, VENKATAKRISHNAN_WANG, BARTH_JESPERSEN, VAN_ALBADA_EDGE) +SLOPE_LIMITER_SPECIES = NONE +% +% Time discretization for species equations (EULER_IMPLICIT, EULER_EXPLICIT) +TIME_DISCRE_SPECIES= EULER_IMPLICIT +% +% Reduction factor of the CFL coefficient in the species problem +CFL_REDUCTION_SPECIES= 1.0 +% +% Initial values for scalar transport +SPECIES_INIT= 1.0, ... +% +% Activate clipping for scalar transport equations +SPECIES_CLIPPING= NO +% +% Maximum values for scalar clipping +SPECIES_CLIPPING_MAX= 1.0, ... +% +% Minimum values for scalar clipping +SPECIES_CLIPPING_MIN= 0.0, ... +``` + +For the screen, history and volume output multiple straight forward options were included. Whenever a number is used at the end of the keyword, one for each species (starting at zero) can be added. +``` +SCREEN_OUTPUT= RMS_SPECIES_0, ..., MAX_SPECIES_0, ..., BGS_SPECIES_0, ..., \ + LINSOL_ITER_SPECIES, LINSOL_RESIDUAL_SPECIES, \ + SURFACE_SPECIES_0, ..., SURFACE_SPECIES_VARIANCE +``` + +For `HISTORY_OUTPUT` the residuals are included in `RMS_RES` and the linear solver quantities in `LINSOL`. The surface outputs can be included with `SPECIES_COEFF` or `SPECIES_COEFF_SURF` for each surface individually. + +For `VOLUME_OUTPUT` no extra output field has the be set. The mass fractions are included in `SOLUTION` and the volume residuals in `RESIDUAL`. + +All available output can be printed to screen using the `dry-run` feature of SU2: +``` +$ SU2_CFD -d .cfg +``` + +## Running SU2 + +The simulation can be run in serial using the following command: +``` +$ SU2_CFD species3_primitiveVenturi.cfg +``` +or in parallel with your preferred number of cores (for this small case not more than 4 cores should be used): +``` +$ mpirun -n <#cores> SU2_CFD species3_primitiveVenturi.cfg +``` + +## Results + +![Residual plot](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/residuals_specMix.png) +Figure (2): Residual plot (Incompressible mean flow, SST turbulence model, species transport). + +![Species Mass Fractions](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/speciesMassFractions.jpg) +Figure (3): Volume mass fractions for both species. Species_1 is mirrored for better comparison. + +![Velocity Magnitude](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/VelocityMag.jpg) +Figure (4): Velocity Magnitude in the domain. \ No newline at end of file diff --git a/_tutorials/index.md b/_tutorials/index.md index 51fff3bf..97c05658 100644 --- a/_tutorials/index.md +++ b/_tutorials/index.md @@ -56,7 +56,7 @@ A simulation of internal, inviscid, incompressible flow around a NACA 0012 hydro * [Laminar Flat Plate with Heat Transfer](/tutorials/Inc_Laminar_Flat_Plate/) Simulation of external, laminar, incompressible flow over a flat plate (classical Navier-Stokes case). * [Turbulent Flat Plate](/tutorials/Inc_Turbulent_Flat_Plate/) -Simulation of external, turbulentm incompressible flow over a flat plate (classical RANS case). +Simulation of external, turbulent incompressible flow over a flat plate (classical RANS case). * [Turbulent NACA 0012](/tutorials/Inc_Turbulent_NACA0012/) Simulation of external, viscous, incompressible flow around the NACA 0012 using a turbulence model. * [Laminar Backward-facing Step](/tutorials/Inc_Laminar_Step/) @@ -65,6 +65,8 @@ Simulation of internal, laminar, incompressible flow over a backward-facing step Simulation of internal, laminar, incompressible flow in a differentially-heated cavity under the influence of gravity (classical natural convection case). * [Streamwise Periodicity](/tutorials/Inc_Streamwise_Periodic/) Simulation of internal, turbulent, incompressible flow in a unit cell of a 2D pin-fin heat exchanger. +* [Species Transport](/tutorials/Inc_Species_Transport/) +Simulation of internal, turbulent, incompressible flow through a mixing channel. #### Structural Mechanics @@ -97,6 +99,8 @@ Perform an optimal shape design of a 2D geometry (isolated airfoil at turbulent * [Constrained shape design of a transonic inviscid wing at a cte. CL](/tutorials/Inviscid_3D_Constrained_ONERAM6/) Learn the basis of 3D design by performing an optimal shape design of an isolated wing with geometrical constraints. * [Multi-Objective Shape Design of an Inviscid Supersonic Ramp](/tutorials/Multi_Objective_Shape_Design/) - Perform an optimal shape design with multiple objectives and a penalty function +Perform an optimal shape design with multiple objectives and a penalty function * [Unsteady Shape Optimization](/tutorials/Unsteady_Shape_Opt_NACA0012/) - Shape optimization of an 2D airfoil in unsteady flow conditions. +Shape optimization of an 2D airfoil in unsteady flow conditions. +* [Species Transport](/tutorials/Species_Transport/) +Optimization of internal, turbulent, incompressible flow through a mixing channel. diff --git a/tutorials_files/incompressible_flow/Inc_Species_Transport/images/VelocityMag.jpg b/tutorials_files/incompressible_flow/Inc_Species_Transport/images/VelocityMag.jpg new file mode 100644 index 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mUUm&i(bY=fgBUOyk2eK1}1owEsc2CqL8kAAvuAM;zJT(I-DPjUSu#4;?7; zVHzK%{WCCa6*GV3k0KEDNxUjZc0gy z=e+3OSi@KwtP~GriJhCBM+8%#ax@VtiN&B2l(UphS;{bqLludRMl4eODQfCVxR!6LK(;AJAWGGT?Kkz_~yf&4+cS{?gl25p}dRxZX59&( F{6FnP3JL%K literal 0 HcmV?d00001 From 0d6de50a3241003e1de5bdbc973ef903c48900ef Mon Sep 17 00:00:00 2001 From: TobiKattmann Date: Sun, 5 Dec 2021 19:22:52 +0100 Subject: [PATCH 03/10] Comments to species results. --- .../Inc_Species_Transport/Inc_Species_Transport.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md b/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md index 47ed8ca6..cddb2978 100644 --- a/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md +++ b/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md @@ -65,7 +65,7 @@ For `CONV_NUM_METHOD_SPECIES= SCALAR_UPWIND` a second order MUSCL reconstruction The `TIME_DISCRE_SPECIES` can be either an implicit or explicit euler and a CFL reduction coefficient `CFL_REDUCTION_SPECIES` compared to the regular `CFL_NUMBER` is available. -The iniital species mass fractions are given by the list `SPECIES_INIT= 1.0, ...`. +The inital species mass fractions are given by the list `SPECIES_INIT= 1.0, ...`. `SPECIES_CLIPPING= YES` with the respective lists for min and max enforces a strict lower and upper limit for the mass fraction solution used by the solver. @@ -149,11 +149,17 @@ $ mpirun -n <#cores> SU2_CFD species3_primitiveVenturi.cfg ## Results +The case converges nicely as expected on such a simple case and mesh. + ![Residual plot](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/residuals_specMix.png) Figure (2): Residual plot (Incompressible mean flow, SST turbulence model, species transport). +Note that there is still some unphysical mass fraction fluctuation for Species_0 at the junction corner. This becomes much less apparent by using `MUSCL_SPECIES = YES` but does not fully disappear. + ![Species Mass Fractions](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/speciesMassFractions.jpg) Figure (3): Volume mass fractions for both species. Species_1 is mirrored for better comparison. +Velocity magnitude field along which the species are transported. For a much less homogenous mixture at the outlet one could decrease the `DIFFUSIVITY_CONSTANT` which makes for a more interesting optimization problem. + ![Velocity Magnitude](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/VelocityMag.jpg) Figure (4): Velocity Magnitude in the domain. \ No newline at end of file From 36f14215201cf7684745dd06b14f5d581f35841e Mon Sep 17 00:00:00 2001 From: TobiKattmann Date: Sun, 5 Dec 2021 20:49:09 +0100 Subject: [PATCH 04/10] Add first part of the Spec optimization --- .../Species_Transport/Species_Transport.md | 222 ++++++------------ .../Inc_Species_Transport.md | 8 +- 2 files changed, 75 insertions(+), 155 deletions(-) diff --git a/_tutorials/design_features/Species_Transport/Species_Transport.md b/_tutorials/design_features/Species_Transport/Species_Transport.md index ff575c60..cbac0cde 100644 --- a/_tutorials/design_features/Species_Transport/Species_Transport.md +++ b/_tutorials/design_features/Species_Transport/Species_Transport.md @@ -12,185 +12,101 @@ complexity: advanced follows: Inc_Species_Transport --- -## Goals - -Upon completing this tutorial, the SU2 user will be familiar with performing a constrained optimal shape design of a 2D airfoil geometry. The airfoil geometry chosen for this tutorial is a RAE2822 airfoil (AGARD Report AR 138, 1979) at transonic speed in viscous turbulent fluid and constant CL. The following SU2 tools will be showcased in this tutorial: -- **SU2_CFD** - performs the direct flow simulations -- **SU2_CFD_AD** - performs the adjoint flow simulations using automatic differentiation -- **SU2_DOT_AD** - projects the adjoint surface sensitivities into the design space to obtain the gradient -- **SU2_DEF** - deforms the geometry and mesh with changes in the design variables during the shape optimization process -- **SU2_GEO** - evaluates the thickness of airfoil and its gradient with respect to each design variable. -- **shape_optimization.py** - automates the entire shape design process by executing the SU2 tools and optimizer - -We will walk through the shape design process and highlight several options related to the discrete adjoint (Automatic Differentiation) in SU2 and the configuration options for shape design. - -## Resources - -You can find the resources for this tutorial in the folder [design/Turbulent_2D_Constrained_RAE2822](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822) in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the mesh file [mesh_RAE2822_turb.su2](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/mesh_RAE2822_turb.su2), the config file [turb_SA_RAE2822.cfg](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/turb_SA_RAE2822.cfg) and initial solution files for the solver and adjoint [solution_flow.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/solution_flow.dat), [solution_adj_cd.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/solution_adj_cd.dat), and [solution_adj_cmz.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/solution_adj_cmz.dat). +## Disclaimer -## Tutorial +This Tutorial builds directly on the case given as Prerequisite on the top of the site [link](tutorials/Inc_Species_Transport/). Therefore details to the problem setup, mesh, etc. are not repeated here. However the process outlined in this tutorial is directly applicable to many other cases using SU2. -The following tutorial will walk you through the steps required when performing shape design for the transonic turbulent airfoil using SU2 and the automatic differentiation tool. It is assumed that you have already obtained and compiled SU2_CFD, SU2_CFD_AD, SU2_DOT, SU2_DOT_AD, SU2_GEO, and SU2_DEF. The design loop is driven by the shape_optimization.py script, and thus Python along with the NumPy and SciPy Python modules are required for this tutorial. If you have yet to complete these requirements, please see the [Download](/docs_v7/Download/) and [Installation](/docs_v7/Installation/) pages. And do not forget to compile with the [adjoint mode capability](/docs_v7/Build-SU2-Linux-MacOS/#basic-configuration). +Instead of the python tools for finite differences or shape optimization that are part of SU2 directly, the standalone python tool [FADO](https://github.com/su2code/FADO) is used. Please follow the information on the given github repo in order to use FADO. -### Background - -We start with a baseline geometry (RAE 2822) and grid as input to our design cycle, along with a chosen objective function, constraints and set of design variables. For this tutorial, drag coefficient at a constant lift coefficient will be our objective function. In terms of constraints we will use pitching moment and airfoil thickness. As in the NACA 0012 case, we will use Hicks-Henne bump functions to parameterize the shape (design variables). - -By launching the shape_optimization.py script, a gradient-based optimizer will orchestrate the design cycle consisting of the flow solver, adjoint solver, geometry evaluation, and geometry/mesh deformation tools available in SU2. This iterative design loop will proceed until a minimum is found or until reaching a maximum number of optimizer iterations. Many useful output files will be available to you at the conclusion. - -### Problem Setup +## Goals -The flow conditions of this numerical experiment are such that a transonic shock appear on the upper surface causing shock induced separation, which causes drag. The goal of the design process is to minimize the coefficient of drag at a constant lift value by changing the shape of the airfoil and everything reducing the pitching moment and keeping a minimum thickness. This problem will solve the RANS and adjoint RANS (drag at cte. lift objective function and pitching moment constraint) equations on the RAE 2822 airfoil at a lift coefficient value of 0.724 using air with the following free-stream conditions: +This tutorial is a rather extensive guide covering the following steps, assuming a converging primal case is present: +1. Validation of perfect restarts as a basis for the Discrete Adjoint solver. This is done using a separate bash-script +2. Setting up an FFD-box and writing it to the mesh +3. Manual testing of the mesh deformation +4. Gradient validation using FADO +5. Shape optimization using FADO -- Temperature = 288.15 K -- Mach number = 0.8 -- Reynolds number = 6.5E6 +Following these steps proved to be especially useful when developing new features as each step is an incremental rise in complexity and is much easier to debug, compared starting right away with an optimization that then fails to provide satisfactory results. -Remember that the free-stream pressure is computed from this values (assuming perfect gas). -### Mesh Description +## Resources -The mesh consists of a far-field boundary and a Navier-Stokes wall (non-slip) along the airfoil surface. The mesh can be seen in Figure (1). +You can find the resources for this tutorial in the folder [incompressible_flow/Inc_Species_Transport](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Species_Transport) and the respective subfolders. -![RAE 2822 Mesh](../../tutorials_files/design_features/Turbulent_2D_Constrained_RAE2822/images/rae_mesh.png) -Figure (1): Zoom view of the initial computational mesh. +## 1. Restart Validation -### Configuration File Options +The script [restart_validation.sh](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Species_Transport/restart_validation.sh) performs 4 simulations using `species3_venturiPrimitive.cfg` to check whether primal and primal-adjoint restarts work. This script is best used with `HISTORY_OUTPUT= RMS_RES` as then the output comparison is the most straight forward. The SU2 binary is deduced from the environmental variable `SU2_RUN`, so make sure that is set correctly. With the explanation given here and the comments in the script it should be straight forward adaptable to other cases. +1. Primal simulation with n+1 timesteps. This is the ground truth of the expected residual values. Takes Residuals from the `history` file. +2. Primal simulation with n timesteps. We will restart steps 3. and 4. from this simulation. +3. Primal simulation with 1 timestep, restarted from simulation in 2nd step. Takes Residuals from the `history` file. +4. Adjoint simulation with 1 timestep, using the primal restart file from simulation in 2nd step. The primal residuals that are printed in the screen output are taken for comparison. -Several of the key configuration file options for this simulation are highlighted here. First, we note that we are choosing a drag objective and pitching moment constraint. A number of objective functions/constraitns are implemented in SU2, and we recommend that you check the config_template.cfg file in the root directory for a list of those that are available. +When using the recommended `HISTORY_OUTPUT= RMS_RES` the output should provide the following: ``` -% --------------------- OPTIMAL SHAPE DESIGN DEFINITION -----------------------% -% -% Optimization objective function with scaling factor, separated by semicolons. -% To include quadratic penalty function: use OPT_CONSTRAINT option syntax within the OPT_OBJECTIVE list. -% ex= Objective * Scale -OPT_OBJECTIVE= DRAG -% -% Optimization constraint functions with pushing factors (affects its value, not the gradient in the python scripts), separated by semicolons -% ex= (Objective = Value ) * Scale, use '>','<','=' -OPT_CONSTRAINT= ( MOMENT_Z < 0.093 ) * 0.001; ( AIRFOIL_THICKNESS > 0.12 ) * 0.001 +-5.010542647 -4.537626591 -4.207538398 0.4686163065 -6.594021422 0.4978738082 -5.253262361 -5.467591972 +-5.010542647 -4.537626591 -4.207538398 0.4686163065 -6.594021422 0.4978738082 -5.253262361 -5.467591972 +-5.010542647 -4.537626591 -4.207538398 0.4686163065 -6.594021422 0.4978738082 -5.253262361 -5.467591972 ``` -In this particular case we are running at a constant lift value, in order to set that feature the relevant part of the configuration file is presented below. The `FIXED_CL_MODE` works by updating the angle of attack (AoA) during the simulation run such that the resulting CL matches the `TARGET_CL` value. The `UPDATE_AOA_ITER_LIMIT` specifies the maximum number of iterations between two AoA updates. The AoA might update sooner if the solution converges (as defined by the convergence parameters) to the wrong CL. The level of CL convergence can be specified by the `CAUCHY_EPS` value which is defined in the Convergence Parameters. `DCL_DALPHA` is the proportional constant that is used to calculate the change in AoA when it updates (Change in AoA = (TARGET_CL - CURRENT_CL)/DCL_DALPHA). The `ITER_DCL_DALPHA` defines the number of iterations that the run to calculate dCL/dAlpha at the end of the Fixed CL simulation. This calculated value is used by the adjoint to give more accurate gradients with respect to the objective function, when the optimization is run in Fixed CL mode. +Where in each row the residual of each equation is listed (P, vx, vy, T, k, w, Species_0, Species_0). The primal restart (2nd row) and the adjoint primal restart (3rd row) provide identical results compared to the 'full' primal simulation (1st row). Small deviations in the last digits are not an issue, especially when higher iteration counts are used (here only 10). But if the adjoint restart provides a clearly different result then this should be debugged before attempting a gradient validation or even optimization. -``` -% -------------------------- CL DRIVER DEFINITION -----------------------------% -% -% Activate fixed lift mode (specify a CL instead of AoA, NO/YES) -FIXED_CL_MODE= YES -% -% Target coefficient of lift for fixed lift mode (0.80 by default) -TARGET_CL= 0.724 -% -% Estimation of dCL/dAlpha (0.2 per degree by default) -DCL_DALPHA= 0.2 -% -% Maximum number of iterations between AoA updates -UPDATE_AOA_ITER_LIMIT= 100 -% -% Number of iterations to evaluate dCL/dAlpha at the end of the simulation -ITER_DCL_DALPHA= 500 -% -% Evaluate dObjFunc/dCL during runtime (YES) or use the value stored in the -% direct solution file (NO). -EVAL_DOF_DCX= NO -``` +The config option `OUTPUT_PRECISION= 16` can be set to compare more digits if necessary. -The options that specify the optimal shape design problem are: +Execute the scipt by: ``` -% --------------------- OPTIMAL SHAPE DESIGN DEFINITION -----------------------% -% -% Optimization objective function with scaling factor, separated by semicolons. -% To include quadratic penalty function: use OPT_CONSTRAINT option syntax within the OPT_OBJECTIVE list. -% ex= Objective * Scale -OPT_OBJECTIVE= DRAG -% -% Optimization constraint functions with pushing factors (affects its value, not the gradient in the python scripts), separated by semicolons -% ex= (Objective = Value ) * Scale, use '>','<','=' -OPT_CONSTRAINT= ( MOMENT_Z < 0.093 ) * 0.001; ( AIRFOIL_THICKNESS > 0.12 ) * 0.001 -% -% Factor to reduce the norm of the gradient (affects the objective function and gradient in the python scripts) -% In general, a norm of the gradient ~1E-6 is desired. -OPT_GRADIENT_FACTOR= 1E-6 -% -% Factor to relax or accelerate the optimizer convergence (affects the line search in SU2_DEF) -% In general, surface deformations of 0.01'' or 0.0001m are desirable -OPT_RELAX_FACTOR= 1E2 -% -% Maximum number of iterations -OPT_ITERATIONS= 100 -% -% Requested accuracy -OPT_ACCURACY= 1E-10 -% -% Optimization bound (bounds the line search in SU2_DEF) -OPT_LINE_SEARCH_BOUND= 1E6 -% -% Upper bound for each design variable (bound in the python optimizer) -OPT_BOUND_UPPER= 1E10 -% -% Lower bound for each design variable (bound in the python optimizer) -OPT_BOUND_LOWER= -1E10 -% -% Optimization design variables, separated by semicolons -DEFINITION_DV= ( 30, 1.0 | AIRFOIL | 0, 0.05 ); ( 30, 1.0 | AIRFOIL | 0, 0.10 ); ( 30, 1.0 | AIRFOIL | 0, 0.15 ); ( 30, 1.0 | AIRFOIL | 0, 0.20 ); ( 30, 1.0 | AIRFOIL | 0, 0.25 ); ( 30, 1.0 | AIRFOIL | 0, 0.30 ); ( 30, 1.0 | AIRFOIL | 0, 0.35 ); ( 30, 1.0 | AIRFOIL | 0, 0.40 ); ( 30, 1.0 | AIRFOIL | 0, 0.45 ); ( 30, 1.0 | AIRFOIL | 0, 0.50 ); ( 30, 1.0 | AIRFOIL | 0, 0.55 ); ( 30, 1.0 | AIRFOIL | 0, 0.60 ); ( 30, 1.0 | AIRFOIL | 0, 0.65 ); ( 30, 1.0 | AIRFOIL | 0, 0.70 ); ( 30, 1.0 | AIRFOIL | 0, 0.75 ); ( 30, 1.0 | AIRFOIL | 0, 0.80 ); ( 30, 1.0 | AIRFOIL | 0, 0.85 ); ( 30, 1.0 | AIRFOIL | 0, 0.90 ); ( 30, 1.0 | AIRFOIL | 0, 0.95 ); ( 30, 1.0 | AIRFOIL | 1, 0.05 ); ( 30, 1.0 | AIRFOIL | 1, 0.10 ); ( 30, 1.0 | AIRFOIL | 1, 0.15 ); ( 30, 1.0 | AIRFOIL | 1, 0.20 ); ( 30, 1.0 | AIRFOIL | 1, 0.25 ); ( 30, 1.0 | AIRFOIL | 1, 0.30 ); ( 30, 1.0 | AIRFOIL | 1, 0.35 ); ( 30, 1.0 | AIRFOIL | 1, 0.40 ); ( 30, 1.0 | AIRFOIL | 1, 0.45 ); ( 30, 1.0 | AIRFOIL | 1, 0.50 ); ( 30, 1.0 | AIRFOIL | 1, 0.55 ); ( 30, 1.0 | AIRFOIL | 1, 0.60 ); ( 30, 1.0 | AIRFOIL | 1, 0.65 ); ( 30, 1.0 | AIRFOIL | 1, 0.70 ); ( 30, 1.0 | AIRFOIL | 1, 0.75 ); ( 30, 1.0 | AIRFOIL | 1, 0.80 ); ( 30, 1.0 | AIRFOIL | 1, 0.85 ); ( 30, 1.0 | AIRFOIL | 1, 0.90 ); ( 30, 1.0 | AIRFOIL | 1, 0.95 ) -``` -The `OPT_GRADIENT_FACTOR` of 1E-6 is chosen to reduce the value of the gradient norm (based on our experience, for the SLSQP python implementation a norm of the gradient ~1E-6 is desired) and `OPT_RELAX_FACTOR` of 1E2 is used to aid the optimizer in taking a physically appropriate first step (i.e., not too small that the optimizer is not able to detect a change in the objective function or too large that the subsequent calculations go unstable due to a large, non-physical deformation). - -The SLSQP optimizer from the SciPy package for Python is the default optimizer called by the shape_optimization.py script. In addition to the hooks to the objective and gradient functions, this optimizer accepts options for the maximum number of optimizer iterations (`OPT_ITERATIONS`), requested accuracy (`OPT_ACCURACY`), and design variable bounds (`OPT_BOUND_UPPER`, `OPT_BOUND_LOWER`). During the optimization process, the SLSQP optimizer will call the flow and adjoint problems as necessary to take the next step in the design space. However, note that the optimizer will often make multiple function calls per major optimizer iteration in order to compute the next step size. - -The `DEFINITION_DV` is the list of design variables. For the airfoil problem, we want to minimize the drag by changing the surface profile shape. To do so, we define a set of Hicks-Henne bump functions. Each design variable is separated by a semicolon, although **note that there is no final semicolon at the end of the list**. - -The first value in the parentheses is the variable type, which is 30 for a Hicks-Henne bump function. The second value is the scale of the variable (typically left as 1.0). The name between the vertical bars is the marker tag where the variable deformations will be applied. Only the airfoil surface will be deformed in this problem. The final two values in the parentheses specify whether the bump function is applied to the upper (1) or lower (0) side and the x-location of the bump between 0 and 1 (we assume a chord of 1.0 for the Hicks-Henne bumps), respectively. - -Note that there are many other types of design variables available in SU2 (including 2D FFD), and each has their own specific input format. 3D design variables based on the free-form deformation approach (FFD) will be discussed in another tutorial. - -![RAE 2822 Pressure](../../tutorials_files/design_features/Turbulent_2D_Constrained_RAE2822/images/rae2822_pressure.png) -Figure (2): Pressure contours for the baseline RAE 2822 airfoil. - -### Running SU2_GEO - -To prepare the ground for the optimization with geometrical constraints we execute the SU2_GEO software by typing -``` -$ SU2_GEO turb_SA_RAE2822.cfg +$ bash restart_validation.sh ``` -The screen output of this software provides useful geometrical information (airfoil thickness, chord, etc). -### Running SU2 +## 2. FFD-Box Setup -The discrete adjoint methodology for obtaining surface sensitivities is implemented for several equation sets within SU2. After solving the direct flow problem, the adjoint problem is also solved which offers an efficient approach for calculating the gradient of an objective function and constraints with respect to a large set of design variables. This leads directly to a gradient-based optimization framework. With each design iteration, the direct and adjoint solutions are used to compute the objective function and gradient, and the optimizer drives the shape changes with this information in order to minimize the objective. Two other SU2 tools are used to compute the gradient from the adjoint solution (SU2_DOT_AD) and deform the computational mesh (SU2_DEF) during the process. Note that if a geometrical constraint is added, its value and gradient will be computed by SU2_GEO - -![RAE 2822 Adjoint](../../tutorials_files/design_features/Turbulent_2D_Constrained_RAE2822/images/rae2822_psi_density.png) -Figure (3): Adjoint density contours on the baseline RAE 2822 airfoil. - -To run this design case, follow these steps at a terminal command line: -1. Move to the directory containing the config file ([turb_SA_RAE2822.cfg](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ turb_SA_RAE2822.cfg) the mesh file ([mesh_RAE2822_turb.su2](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ mesh_RAE2822_turb.su2)) and the solution files ([solution_flow.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ solution_flow.dat)), ([solution_adj_cd.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ solution_adj_cd.dat)), and ([solution_adj_cmz.dat](https://github.com/su2code/Tutorials/tree/master/design/Turbulent_2D_Constrained_RAE2822/ solution_adj_cmz.dat)). Assuming that SU2 tools were compiled, installed, and that their install location was added to your path, the shape_optimization.py script, SU2_CFD, SU2_CFD_AD, SU2_DOT, SU2_DOT_AD, SU2_GEO and SU2_DEF should all be available. - -2. Execute the shape optimization script by entering +The setup is fairly simple when following some simple rules. The additional block of code necessary to write the FFD box is given below. Essentially, there are only 2 options (`FFD_DEFINITION` and `FFD_DEGREE`) where user input is necessary. `DV_KIND= FFD_SETTING` and `DV_PARAM= ( 1.0 )` are fixed and not to be changed. ``` -$ python shape_optimization.py -g DISCRETE_ADJOINT -o SLSQP -f turb_SA_RAE2822.cfg +% -------------------- FREE-FORM DEFORMATION PARAMETERS -----------------------% +% +% FFD box definition: 3D case (FFD_BoxTag, X1, Y1, Z1, X2, Y2, Z2, X3, Y3, Z3, X4, Y4, Z4, +% X5, Y5, Z5, X6, Y6, Z6, X7, Y7, Z7, X8, Y8, Z8) +% 2D case (FFD_BoxTag, X1, Y1, 0.0, X2, Y2, 0.0, X3, Y3, 0.0, X4, Y4, 0.0, +% 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0) +% Start at the lowest leftest corner and turn counter-clockwise +FFD_DEFINITION= (BOX, \ +0.065, 0.01, 0.0, \ +0.15, 0.01, 0.0 \ +0.15, 0.02, 0.0, \ +0.065, 0.02, 0.0, \ +0.0, 0.0 ,0.0, \ +0.0 ,0.0, 0.0, \ +0.0, 0.0, 0.0, \ +0.0, 0.0, 0.0 ) +% +% FFD box degree: 3D case (i_degree, j_degree, k_degree) +% 2D case (i_degree, j_degree, 0) +FFD_DEGREE= (6, 1, 0) +% +DV_KIND= FFD_SETTING +% +% Marker of the surface in which we are going apply the shape deformation +% NOTE: for deformation the outlet should be a MARKER_SYM to hinder the mesh being ripped apart. +DV_MARKER= ( wall ) +% +% Parameters of the shape deformation +% - FFD_SETTING ( 1.0 ) +% - FFD_CONTROL_POINT ( FFD_BoxTag, i_Ind, j_Ind, k_Ind, x_Disp, y_Disp, z_Disp ) +DV_PARAM= ( 1.0 ) ``` -at the command line. Again, note that Python, NumPy, and SciPy are all required to run the script. If the compilation of the software have be done in parallel then we will add the option -``` -$ python shape_optimization.py -n #cores -g DISCRETE_ADJOINT -o SLSQP -f turb_SA_RAE2822.cfg -``` -where #cores is the number of cores. Depending of the installation, the keyword python maybe not required. - +`FFD_DEFINITION`: The first input to this option is the FFD-Box name. Here simply `BOX` was chosen. Following are the 4 (or 8 in 3D) corner points of the FFD box. The order of how the points are written is crucial. The FFD-box points are addressed via i-j-k indices and for keeping the minimum leftover sanity it of course is highly desirable to have these i-j-k indices align with the x-y-z cartesian axes. Or, in case the FFD box sides do not coincide with the cartesian axes, you know how the i-j-k indices work. +Now assuming FFD-sides align with cartesian axes. The first point in `FFD_DEFINITION` has to be the corner point with the lowest x,y,z-value. The second point is the point following the x-axes only (i.e. keeping y and z constant). Like that the i-index coincides with the x-axes. The third point is found following the y-axes (keeping x and z constant). The fourth point is the remaining on that z-constant plane. In 3D follow the first point in z-direction and repeat the process on the higher z-plane. In 2D the process can be explained simplified by: Start with the point with smallest x,y-value and turn counter-clockwise. -3. The python script will drive the optimization process by executing flow solutions, adjoint solutions, gradient projection, and mesh deformation in order to drive the design toward an optimum. The optimization process will cease when certain tolerances set within the SciPy optimizer are met. +`FFD_DEGREE`: Determines the number of FFD-Box points per i-j-k-index. The degree plus 1 gives the number of points used. Note: for ease of manual use it is highly recommended to start with a low amount here. Using more once the process is dialed in, is no problem. -4. Solution files containing the flow and surface data will be written for each flow solution and adjoint solution and can be found in the DESIGNS directory that is created. The flow solutions are in the DESIGNS/DSN_*/DIRECT/ directories. The file named history_project.dat (or history_project.csv for ParaView) will contain the functional values of interest resulting from each evaluation during the optimization. -### Results for the optimal shape design problem: +## 3. Mesh deformation test -![Mesh with boundary conditions](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/mesh.jpg) -Figure (4): Cp distribution comparison for the initial and final airfoil designs. +a -![RAE 2822 Final History Objective Function](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/residuals_specMix.png) -Figure (5): Objective function evaluation history during the optimization process. +## 4. Gradient Validation -![RAE 2822 Final History Constraints](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/speciesMassFractions.jpg) -Figure (6): Constraints evaluation history during the optimization process. +a +## 5. Optimization -![RAE 2822 Final History Constraints](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/VelocityMag.jpg) -Figure (6): Constraints evaluation history during the optimization process. \ No newline at end of file +a diff --git a/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md b/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md index cddb2978..7a1d3fe2 100644 --- a/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md +++ b/_tutorials/incompressible_flow/Inc_Species_Transport/Inc_Species_Transport.md @@ -32,7 +32,7 @@ Figure (1): Computational mesh with color indication of the used boundary condit The following tutorial assumes you already compiled `SU2_CFD` in serial or parallel, please see the [Download](/docs_v7/Download/) and [Installation](/docs_v7/Installation/) if that is not done yet. Additionally it is advised to perform an entry level incompressible tutorial first, as this tutorial only goes over species transport -### Background +## Background The geometry with two separate inlets, a junction where the two feeders meet and a nozzle leading to an outlet, resembles loosely a venturi mixer. The geometry massively simplifies these design principles. The material properties and provided mass fractions at the inlet are for demonstration purposes. @@ -162,4 +162,8 @@ Figure (3): Volume mass fractions for both species. Species_1 is mirrored for be Velocity magnitude field along which the species are transported. For a much less homogenous mixture at the outlet one could decrease the `DIFFUSIVITY_CONSTANT` which makes for a more interesting optimization problem. ![Velocity Magnitude](../../tutorials_files/incompressible_flow/Inc_Species_Transport/images/VelocityMag.jpg) -Figure (4): Velocity Magnitude in the domain. \ No newline at end of file +Figure (4): Velocity Magnitude in the domain. + +## Additional remarks + +An in depth optimization of this case with addition of the FFD-box, gradient validation and some more steps can found [here](/tutorials/Species_Transport/). \ No newline at end of file From fdb0f969db93fd9262c6768dfba2cf7bed21fe32 Mon Sep 17 00:00:00 2001 From: TobiKattmann Date: Mon, 6 Dec 2021 09:46:31 +0100 Subject: [PATCH 05/10] Updates to shape optimization tutorial --- .../Species_Transport/Species_Transport.md | 175 +++++++++++++++++- 1 file changed, 171 insertions(+), 4 deletions(-) diff --git a/_tutorials/design_features/Species_Transport/Species_Transport.md b/_tutorials/design_features/Species_Transport/Species_Transport.md index cbac0cde..dda6f3f5 100644 --- a/_tutorials/design_features/Species_Transport/Species_Transport.md +++ b/_tutorials/design_features/Species_Transport/Species_Transport.md @@ -58,7 +58,7 @@ $ bash restart_validation.sh ## 2. FFD-Box Setup -The setup is fairly simple when following some simple rules. The additional block of code necessary to write the FFD box is given below. Essentially, there are only 2 options (`FFD_DEFINITION` and `FFD_DEGREE`) where user input is necessary. `DV_KIND= FFD_SETTING` and `DV_PARAM= ( 1.0 )` are fixed and not to be changed. +The setup is fairly simple when following some simple rules. The additional block of code necessary to write the FFD box is given below. Essentially, there are only 3 options (`FFD_DEFINITION`, `FFD_DEGREE` and `DV_MARKER`) where user input is necessary. `DV_KIND= FFD_SETTING` and `DV_PARAM= ( 1.0 )` are fixed and not to be changed. ``` % -------------------- FREE-FORM DEFORMATION PARAMETERS -----------------------% @@ -99,14 +99,181 @@ Now assuming FFD-sides align with cartesian axes. The first point in `FFD_DEFINI `FFD_DEGREE`: Determines the number of FFD-Box points per i-j-k-index. The degree plus 1 gives the number of points used. Note: for ease of manual use it is highly recommended to start with a low amount here. Using more once the process is dialed in, is no problem. +`DV_MARKER`: Boundary markers that are going to be deformed by the FFD-Box. Note that the Mesh deformation in SU2 is a 2-stage process: +1. The FFD-Box deforms only the boundary mesh nodes that are inside of the initial FFD-Box. These nodes are stored at the bottom of the `.su2` mesh that contain the FFD-Box. +2. The deformed boundary from the previous step is now boundary condition for a Linear Elasticity style volume mesh morpher. + +This FFD box is written to `MESH_OUT_FILENAME` by calling: +``` +$ SU2_DEF .cfg +``` + +![FFD-Box](../../tutorials_files/design/Species_Transport/images/FFD-Box.png) +Figure (1): FFD-Box with fixed points (red) and allowed deformation direction indicated by arrows. ## 3. Mesh deformation test -a +Before attempting a gradient validation or optimization it is good practice to check whether the mesh deformation process creates valid and good quality meshes. It is also possible to already check reasonable preliminary bounds for FFD values, that can be set in an optimization. This can be done in a manual process which is rather simple. + +First, some general FFD-Box deformation parameters. Additions are `FFD_TOLERANCE`, `FFD_ITERATIONS` and `FFD_CONTINUITY` which was set to `USER_INPUT` in order to not fix any points at all. With that option one can manually fix FFD-Box points using `FFD_FIX_I`/`J`/`K` options but this process can also be done without that options as will be shown below. + +``` +% -------------------- FREE-FORM DEFORMATION PARAMETERS -----------------------% +% +% Tolerance of the Free-Form Deformation point inversion +FFD_TOLERANCE= 1E-10 +% +% Maximum number of iterations in the Free-Form Deformation point inversion +FFD_ITERATIONS= 500 +% +% FFD box definition: 3D case (FFD_BoxTag, X1, Y1, Z1, X2, Y2, Z2, X3, Y3, Z3, X4, Y4, Z4, +% X5, Y5, Z5, X6, Y6, Z6, X7, Y7, Z7, X8, Y8, Z8) +% 2D case (FFD_BoxTag, X1, Y1, 0.0, X2, Y2, 0.0, X3, Y3, 0.0, X4, Y4, 0.0, +% 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0) +% Start at the lowest leftest corner and turn counter-clockwise +FFD_DEFINITION= (BOX, \ +0.065, 0.01, 0.0, \ +0.15, 0.01, 0.0 \ +0.15, 0.02, 0.0, \ +0.065, 0.02, 0.0, \ +0.0, 0.0 ,0.0, \ +0.0 ,0.0, 0.0, \ +0.0, 0.0, 0.0, \ +0.0, 0.0, 0.0 ) +% +% FFD box degree: 3D case (i_degree, j_degree, k_degree) +% 2D case (i_degree, j_degree, 0) +FFD_DEGREE= (6, 1, 0) +% +% Surface grid continuity at the intersection with the faces of the FFD boxes. +% To keep a particular level of surface continuity, SU2 automatically freezes the right +% number of control point planes (NO_DERIVATIVE, 1ST_DERIVATIVE, 2ND_DERIVATIVE, USER_INPUT) +FFD_CONTINUITY= USER_INPUT +% +% Definition of the FFD planes to be frozen in the FFD (x,y,z). +% Value from 0 FFD degree in that direction. Pick a value larger than degree if you don't want to fix any plane. +%FFD_FIX_I= (0,2,3) +%FFD_FIX_J= (0,2,3) +%FFD_FIX_K= (0,2,3) +``` + +The next set of option changes `DV_KIND`, `DV_PARAM` and `DV_VALUE` have to be specified for each Design Variable. So each of those options must have the same number of entries. + +For `DV_KIND` the tag `FFD_CONTROL_POINT` is simply repeated 10 times. + +The `DV_PARAM` option lists, which of the FFD-Box points is going to be deformed and also the direction of deformation. So `(BOX, 2, 0, 0, 0.0, 1.0, 0.0 )` refers to a point in the FFD-Box names `BOX` with the i-j-k-indices `2, 0, 0` and will be deformed along the vector `0.0, 1.0, 0.0` i.e. in y-direction. +The `DV_PARAM` list can either be created by hand or by editing the output of a helping script that ships with SU2 (same directory as `SU2_CFD` binary etc.): +``` +$ python set_ffd_design_var.py -i 6 -j 1 -k 0 -b BOX -m 'wall' +``` +which creates these list for the `FFD_CONTROL_POINT`'s in x-y-z direction, but we are only interested in the y-direction. +``` +% FFD_CONTROL_POINT (Y) +DEFINITION_DV= ( 11, 1.0 | wall | BOX, 0, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 1, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 2, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 3, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 4, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 5, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 6, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 0, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 1, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 2, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 3, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 4, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 5, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 6, 1, 0, 0.0, 1.0, 0.0 ) +``` +Now in order to get the `DV_PARAM` list simply the first part of each entry, namely `11, 1.0 | wall |` has to be deleted. +Here the user can also fix certain Design variables by simply not using them in the lists. Note how in the given `DV_PARAM` the first point is `(BOX, 2, 0, 0, 0.0, 1.0, 0.0 )` instead of `(BOX, 0, 0, 0, 0.0, 1.0, 0.0 )`. Like so. The first two points with the lowest i-index are fixed. + +`DV_Value` simply gives the Deformation of the respective Design Variable. If in `DV_PARAM` only unit vectors are given as deformation direction (which is the case as we only use `0.0, 1.0, 0.0`) then `DV_VALUE` is the deflection in [m] and therefore some intuition can be used when choosing testing values. + +``` +% ----------------------- DESIGN VARIABLE PARAMETERS --------------------------% +% +DV_KIND= FFD_CONTROL_POINT, FFD_CONTROL_POINT, FFD_CONTROL_POINT, FFD_CONTROL_POINT, FFD_CONTROL_POINT, FFD_CONTROL_POINT, FFD_CONTROL_POINT, FFD_CONTROL_POINT, FFD_CONTROL_POINT, FFD_CONTROL_POINT +% +% Marker of the surface in which we are going apply the shape deformation +% NOTE: for deformation the outlet should be a MARKER_SYM to hinder the mesh being ripped apart. +DV_MARKER= ( wall ) +% +% Parameters of the shape deformation +% - FFD_SETTING ( 1.0 ) +% - FFD_CONTROL_POINT ( FFD_BoxTag, i_Ind, j_Ind, k_Ind, x_Disp, y_Disp, z_Disp ) +DV_PARAM= (BOX, 2, 0, 0, 0.0, 1.0, 0.0 ); (BOX, 3, 0, 0, 0.0, 1.0, 0.0 ); (BOX, 4, 0, 0, 0.0, 1.0, 0.0 ); (BOX, 5, 0, 0, 0.0, 1.0, 0.0 ); (BOX, 6, 0, 0, 0.0, 1.0, 0.0 ); (BOX, 2, 1, 0, 0.0, 1.0, 0.0 ); (BOX, 3, 1, 0, 0.0, 1.0, 0.0 ); (BOX, 4, 1, 0, 0.0, 1.0, 0.0 ); (BOX, 5, 1, 0, 0.0, 1.0, 0.0 ); (BOX, 6, 1, 0, 0.0, +% Excluded FFD points that are fixed to keep a nice geometry and mesh +%DV_PARAM= (BOX, 0, 0, 0, 0.0, 1.0, 0.0 ); (BOX, 1, 0, 0, 0.0, 1.0, 0.0 ); (BOX, 0, 1, 0, 0.0, 1.0, 0.0 ); (BOX, 1, 1, 0, 0.0, 1.0, 0.0 ); +% +% Value of the shape deformation +% first row: lower row y-direction +% second row: upper row y-direction +DV_VALUE= 0.003, 0.003, 0.004, 0.005, 0.005, \ + 0.003, 0.003, 0.004, 0.005, 0.005 +``` + +The most important options for the volume mesh algorithm are listed below. This tutorial does not go in depth on these options. + +``` +% ------------------------ GRID DEFORMATION PARAMETERS ------------------------% +% +% Linear solver or smoother for implicit formulations (FGMRES, RESTARTED_FGMRES, BCGSTAB) +DEFORM_LINEAR_SOLVER= FGMRES +% +% Preconditioner of the Krylov linear solver (ILU, LU_SGS, JACOBI) +DEFORM_LINEAR_SOLVER_PREC= ILU +% +% Number of smoothing iterations for mesh deformation +DEFORM_LINEAR_SOLVER_ITER= 1000 +% +% Number of nonlinear deformation iterations (surface deformation increments) +DEFORM_NONLINEAR_ITER= 1 +% +% Minimum residual criteria for the linear solver convergence of grid deformation +DEFORM_LINEAR_SOLVER_ERROR= 1E-14 +% +% Print the residuals during mesh deformation to the console (YES, NO) +DEFORM_CONSOLE_OUTPUT= YES +% +% Deformation coefficient (linear elasticity limits from -1.0 to 0.5, a larger +% value is also possible) +DEFORM_COEFF = 0.0 +% +% Type of element stiffness imposed for FEA mesh deformation (INVERSE_VOLUME, +% WALL_DISTANCE, CONSTANT_STIFFNESS) +DEFORM_STIFFNESS_TYPE= WALL_DISTANCE +% +% Deform the grid only close to the surface. It is possible to specify how much +% of the volumetric grid is going to be deformed in meters or inches (1E6 by default) +DEFORM_LIMIT = 1E6 +``` + +This mesh deformation is executed via: +``` +$ SU2_DEF .cfg +``` + +In this special case the deformed produces a bad mesh at the outlet, as the mesh is 'ripped apart' there. This happens because the FFD-Box only deforms what is prescribed in `DV_MARKER` and the remaining boundaries are considered 'clamped' in the volume mesh algorithm. All boundaries? No! The boundaries in `MARKER_SYM` are allowed to move along their symmetry plane in the volume mesher.This obviously requires the boundary to form a single plane which is the case for the present outlet. So, if the outlet is prescribed as a `MARKER_SYM` for the Volume deformation step the mesh deformation will yield a reasonable mesh. + +![Bad mesh deformation](../../tutorials_files/design/Species_Transport/images/bad-mesh-deform.png) +Figure (2): Mesh breaks at the `outlet`, as `outlet` nodes are clamped. + +![Good mesh deformation](../../tutorials_files/design/Species_Transport/images/good-mesh-deform.png) +Figure (3): Defining the `outlet` as `MARKER_SYM` results in a satisfactory deformed mesh . ## 4. Gradient Validation -a +The gradient validation script is executed via: + +``` +$ python gradient_validation.py +``` + +And to print the gradient comparison: +``` + +$ python postprocess.py +``` + +**RESULTS screen output** + ## 5. Optimization -a +The shape optimization script is executed via: + +``` +$ python optimization.py +``` + +**OF history** + +**initial vs final desing and FFD box** + +**gradient norm** From 414894fa7e7b58c12a654b7758f50e86b63479a3 Mon Sep 17 00:00:00 2001 From: TobiKattmann Date: Mon, 6 Dec 2021 14:04:00 +0100 Subject: [PATCH 06/10] Finish species optimization tutorial --- .../Species_Transport/Species_Transport.md | 52 ++++++++++++++----- 1 file changed, 40 insertions(+), 12 deletions(-) diff --git a/_tutorials/design_features/Species_Transport/Species_Transport.md b/_tutorials/design_features/Species_Transport/Species_Transport.md index dda6f3f5..60cfe5c5 100644 --- a/_tutorials/design_features/Species_Transport/Species_Transport.md +++ b/_tutorials/design_features/Species_Transport/Species_Transport.md @@ -108,7 +108,7 @@ This FFD box is written to `MESH_OUT_FILENAME` by calling: $ SU2_DEF .cfg ``` -![FFD-Box](../../tutorials_files/design/Species_Transport/images/FFD-Box.png) +![FFD-Box](../../tutorials_files/design_features/Species_Transport/images/FFD-Box-indicators.jpg) Figure (1): FFD-Box with fixed points (red) and allowed deformation direction indicated by arrows. ## 3. Mesh deformation test @@ -242,38 +242,66 @@ $ SU2_DEF .cfg In this special case the deformed produces a bad mesh at the outlet, as the mesh is 'ripped apart' there. This happens because the FFD-Box only deforms what is prescribed in `DV_MARKER` and the remaining boundaries are considered 'clamped' in the volume mesh algorithm. All boundaries? No! The boundaries in `MARKER_SYM` are allowed to move along their symmetry plane in the volume mesher.This obviously requires the boundary to form a single plane which is the case for the present outlet. So, if the outlet is prescribed as a `MARKER_SYM` for the Volume deformation step the mesh deformation will yield a reasonable mesh. -![Bad mesh deformation](../../tutorials_files/design/Species_Transport/images/bad-mesh-deform.png) +![Bad mesh deformation](../../tutorials_files/design_features/Species_Transport/images/bad-mesh-deform.jpg) Figure (2): Mesh breaks at the `outlet`, as `outlet` nodes are clamped. -![Good mesh deformation](../../tutorials_files/design/Species_Transport/images/good-mesh-deform.png) -Figure (3): Defining the `outlet` as `MARKER_SYM` results in a satisfactory deformed mesh . +![Good mesh deformation](../../tutorials_files/design_features/Species_Transport/images/good-mesh-deform.jpg) +Figure (3): Defining the `outlet` as `MARKER_SYM` results in a satisfactory deformed mesh. ## 4. Gradient Validation -The gradient validation script is executed via: +In the gradient validation the Discrete Adjoint gradient is compared against a Finite Difference gradient. The script `gradient_validation.py` is using FADO, so please make yourself familiar with the tutorials in that respective repository. But with the comments in the file and observing the output it is possible to reverse engineer many aspects. + +Notable here is that, first, all deformed primal computations are done and the baseline at the very end. This is done as the discrete adjoint requires the solution of the baseline mesh, so that is done right before computing the discrete adjoint gradient. +The `MARKER_SYM`-trick that was introduced in the mesh-deformation section is also applied here and also in the `SU2_DOT_AD` step. This is required to stay consistent between the mesh deformation execution and the gradient projection. + +The Objective Function used is `SURFACE_SPECIES_VARIANCE` and, as the name suggests, sums the local differences in the species mass fraction against the mean, and can therefore be used as a measure for uniform mixing. A Variance of zero would indicate perfect mixing. +The gradient validation script is executed via: ``` $ python gradient_validation.py ``` -And to print the gradient comparison: +In order to postprocess the results a python script is added which compares both gradients and prints to screen and file: ``` - $ python postprocess.py ``` -**RESULTS screen output** +At a maximum of ~0.06% relative difference between the discrete adjoint and finite difference gradient,the agreement is excellent. +``` ++---+-------------------+-------------------+-------------------+-------------------+ +| # | DA gradient | FD gradient | absolute diff | relative diff [%] | ++---+-------------------+-------------------+-------------------+-------------------+ +| 0 | -0.0015564281 | -0.0015568653 | 0.0000004371 | 0.0280852588 | +| 1 | -0.0002703336 | -0.0002704940 | 0.0000001604 | 0.0593316909 | +| 2 | 0.0005547379 | 0.0005546735 | 0.0000000645 | 0.0116235088 | +| 3 | 0.0008743978 | 0.0008743497 | 0.0000000481 | 0.0055009922 | +| 4 | 0.0008628380 | 0.0008627899 | 0.0000000481 | 0.0055767097 | +| 5 | -0.0015564281 | -0.0015568653 | 0.0000004371 | 0.0280851247 | +| 6 | -0.0002703336 | -0.0002704940 | 0.0000001604 | 0.0593325030 | +| 7 | 0.0005547379 | 0.0005546735 | 0.0000000645 | 0.0116236896 | +| 8 | 0.0008743978 | 0.0008743497 | 0.0000000481 | 0.0054995042 | +| 9 | 0.0008628380 | 0.0008627899 | 0.0000000481 | 0.0055765589 | ++---+-------------------+-------------------+-------------------+-------------------+ +``` ## 5. Optimization -The shape optimization script is executed via: +The setup of a shape optimization with FADO is rather straight forward once a working gradient validation script is available. It is usually a good idea to add lower and upper bounds to the design variables. In the case of FFD-Box points these values translate directly into the cartesian space and a first estimation can be made intuitively. + +The second notable extension to the gradient validation is of course the optimization setup itself. Please follow the tutorials FADO provides to learn more about the capabilities and options. But, in the provided script some additional explanations are given and more details to certain function can be printed to screen by adding e.g. `printDocumentation(driver.setFailureMode)` to the script if more information for that option are required. + +The used optimization method is [SLSQP](https://docs.scipy.org/doc/scipy/reference/optimize.minimize-slsqp.html) from the [SciPy](https://docs.scipy.org/doc/scipy/index.html) library. +The unconstrained optimization with the objective function of `SURFACE_SPECIES_VARIANCE` (as in the gradient validation introduced) is started with the following command: ``` $ python optimization.py ``` -**OF history** +In order to compute the gradient norms of each iteration a `gradient_norm.py` script was added. -**initial vs final desing and FFD box** +![OF and Gradient Norm](../../tutorials_files/design_features/Species_Transport/images/OF_GradNorm.png) +Figure (4): Objective Function value and Gradient Norm over optimizer iterations. Capped after 12 iterations. -**gradient norm** +![Optimized Mesh](../../tutorials_files/design_features/Species_Transport/images/Optimized-Geometry.jpg) +Figure (5): Baseline and Optimized Mesh with the respective FFD-Boxes. \ No newline at end of file From 64bc649e5a3f04b289fc9a0b64a4f3ac786207cd Mon Sep 17 00:00:00 2001 From: TobiKattmann <31306376+TobiKattmann@users.noreply.github.com> Date: Thu, 9 Dec 2021 13:23:51 +0100 Subject: [PATCH 07/10] Update _tutorials/design_features/Species_Transport/Species_Transport.md --- .../design_features/Species_Transport/Species_Transport.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_tutorials/design_features/Species_Transport/Species_Transport.md b/_tutorials/design_features/Species_Transport/Species_Transport.md index 60cfe5c5..2ca28835 100644 --- a/_tutorials/design_features/Species_Transport/Species_Transport.md +++ b/_tutorials/design_features/Species_Transport/Species_Transport.md @@ -164,7 +164,7 @@ For `DV_KIND` the tag `FFD_CONTROL_POINT` is simply repeated 10 times. The `DV_PARAM` option lists, which of the FFD-Box points is going to be deformed and also the direction of deformation. So `(BOX, 2, 0, 0, 0.0, 1.0, 0.0 )` refers to a point in the FFD-Box names `BOX` with the i-j-k-indices `2, 0, 0` and will be deformed along the vector `0.0, 1.0, 0.0` i.e. in y-direction. The `DV_PARAM` list can either be created by hand or by editing the output of a helping script that ships with SU2 (same directory as `SU2_CFD` binary etc.): ``` -$ python set_ffd_design_var.py -i 6 -j 1 -k 0 -b BOX -m 'wall' +$ python set_ffd_design_var.py -i 6 -j 1 -k 0 -b BOX -m 'wall' --dimension 2 ``` which creates these list for the `FFD_CONTROL_POINT`'s in x-y-z direction, but we are only interested in the y-direction. ``` From be186478ad07c38fbd62512785d024a334b6145d Mon Sep 17 00:00:00 2001 From: TobiKattmann <31306376+TobiKattmann@users.noreply.github.com> Date: Thu, 9 Dec 2021 16:16:07 +0100 Subject: [PATCH 08/10] Suggested changes: Cleanup and switch to FFD_CONTROL_POINT_2D Co-authored-by: Pedro Gomes <38071223+pcarruscag@users.noreply.github.com> --- .../Species_Transport/Species_Transport.md | 38 +++++++++---------- 1 file changed, 19 insertions(+), 19 deletions(-) diff --git a/_tutorials/design_features/Species_Transport/Species_Transport.md b/_tutorials/design_features/Species_Transport/Species_Transport.md index 2ca28835..60597be9 100644 --- a/_tutorials/design_features/Species_Transport/Species_Transport.md +++ b/_tutorials/design_features/Species_Transport/Species_Transport.md @@ -21,7 +21,7 @@ Instead of the python tools for finite differences or shape optimization that ar ## Goals This tutorial is a rather extensive guide covering the following steps, assuming a converging primal case is present: -1. Validation of perfect restarts as a basis for the Discrete Adjoint solver. This is done using a separate bash-script +1. Validation of perfect restarts as a basis for the Discrete Adjoint solver (this is done using a separate bash-script). This section focuses on code development aspects, and may be skipped by general users. 2. Setting up an FFD-box and writing it to the mesh 3. Manual testing of the mesh deformation 4. Gradient validation using FADO @@ -47,7 +47,7 @@ When using the recommended `HISTORY_OUTPUT= RMS_RES` the output should provide t -5.010542647 -4.537626591 -4.207538398 0.4686163065 -6.594021422 0.4978738082 -5.253262361 -5.467591972 -5.010542647 -4.537626591 -4.207538398 0.4686163065 -6.594021422 0.4978738082 -5.253262361 -5.467591972 ``` -Where in each row the residual of each equation is listed (P, vx, vy, T, k, w, Species_0, Species_0). The primal restart (2nd row) and the adjoint primal restart (3rd row) provide identical results compared to the 'full' primal simulation (1st row). Small deviations in the last digits are not an issue, especially when higher iteration counts are used (here only 10). But if the adjoint restart provides a clearly different result then this should be debugged before attempting a gradient validation or even optimization. +Where in each row the residual of each equation is listed (P, vx, vy, T, k, w, Species_0, Species_1). The primal restart (2nd row) and the adjoint primal restart (3rd row) provide identical results compared to the 'full' primal simulation (1st row). Small deviations in the last digits are not an issue, especially when higher iteration counts are used (here only 10). But if the adjoint restart provides a clearly different result then this should be debugged before attempting a gradient validation or even optimization. The config option `OUTPUT_PRECISION= 16` can be set to compare more digits if necessary. @@ -95,7 +95,7 @@ DV_PARAM= ( 1.0 ) ``` `FFD_DEFINITION`: The first input to this option is the FFD-Box name. Here simply `BOX` was chosen. Following are the 4 (or 8 in 3D) corner points of the FFD box. The order of how the points are written is crucial. The FFD-box points are addressed via i-j-k indices and for keeping the minimum leftover sanity it of course is highly desirable to have these i-j-k indices align with the x-y-z cartesian axes. Or, in case the FFD box sides do not coincide with the cartesian axes, you know how the i-j-k indices work. -Now assuming FFD-sides align with cartesian axes. The first point in `FFD_DEFINITION` has to be the corner point with the lowest x,y,z-value. The second point is the point following the x-axes only (i.e. keeping y and z constant). Like that the i-index coincides with the x-axes. The third point is found following the y-axes (keeping x and z constant). The fourth point is the remaining on that z-constant plane. In 3D follow the first point in z-direction and repeat the process on the higher z-plane. In 2D the process can be explained simplified by: Start with the point with smallest x,y-value and turn counter-clockwise. +Now assuming FFD-sides align with cartesian axes. The first point in `FFD_DEFINITION` has to be the corner point with the lowest x,y,z-value. The second point is the point following the x-axes only (i.e. keeping y and z constant). Like that the i-index coincides with the x-axes. The third point is found following the y-axes starting from the previous 2nd point (keeping x and z constant). The fourth point is the remaining on that z-constant plane. In 3D follow the first point in z-direction and repeat the process on the higher z-plane. In 2D the process can be explained simplified by: Start with the point with smallest x,y-value and turn counter-clockwise. `FFD_DEGREE`: Determines the number of FFD-Box points per i-j-k-index. The degree plus 1 gives the number of points used. Note: for ease of manual use it is highly recommended to start with a low amount here. Using more once the process is dialed in, is no problem. @@ -159,17 +159,17 @@ FFD_CONTINUITY= USER_INPUT The next set of option changes `DV_KIND`, `DV_PARAM` and `DV_VALUE` have to be specified for each Design Variable. So each of those options must have the same number of entries. -For `DV_KIND` the tag `FFD_CONTROL_POINT` is simply repeated 10 times. +For `DV_KIND` the tag `FFD_CONTROL_POINT_2D` is simply repeated 10 times. -The `DV_PARAM` option lists, which of the FFD-Box points is going to be deformed and also the direction of deformation. So `(BOX, 2, 0, 0, 0.0, 1.0, 0.0 )` refers to a point in the FFD-Box names `BOX` with the i-j-k-indices `2, 0, 0` and will be deformed along the vector `0.0, 1.0, 0.0` i.e. in y-direction. +The `DV_PARAM` option lists, which of the FFD-Box points is going to be deformed and also the direction of deformation. So `(BOX, 2, 0, 0.0, 1.0)` refers to a point in the FFD-Box names `BOX` with the i-j-indices `2, 0` and will be deformed along the vector `0.0, 1.0` i.e. in y-direction. In 3D, this is of course extended by k-indices and the z-axis. The `DV_PARAM` list can either be created by hand or by editing the output of a helping script that ships with SU2 (same directory as `SU2_CFD` binary etc.): ``` $ python set_ffd_design_var.py -i 6 -j 1 -k 0 -b BOX -m 'wall' --dimension 2 ``` -which creates these list for the `FFD_CONTROL_POINT`'s in x-y-z direction, but we are only interested in the y-direction. +which creates these list for the `FFD_CONTROL_POINT_2D`'s in x-y-z direction, but we are only interested in the y-direction. ``` -% FFD_CONTROL_POINT (Y) -DEFINITION_DV= ( 11, 1.0 | wall | BOX, 0, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 1, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 2, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 3, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 4, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 5, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 6, 0, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 0, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 1, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 2, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 3, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 4, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 5, 1, 0, 0.0, 1.0, 0.0 ); ( 11, 1.0 | wall | BOX, 6, 1, 0, 0.0, 1.0, 0.0 ) +% FFD_CONTROL_POINT_2D (Y) +DEFINITION_DV= ( 19, 1.0 | wall | BOX, 0, 0, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 1, 0, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 2, 0, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 3, 0, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 4, 0, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 5, 0, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 6, 0, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 0, 1, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 1, 1, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 2, 1, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 3, 1, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 4, 1, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 5, 1, 0.0, 1.0 ); ( 19, 1.0 | wall | BOX, 6, 1, 0.0, 1.0 ) ``` Now in order to get the `DV_PARAM` list simply the first part of each entry, namely `11, 1.0 | wall |` has to be deleted. Here the user can also fix certain Design variables by simply not using them in the lists. Note how in the given `DV_PARAM` the first point is `(BOX, 2, 0, 0, 0.0, 1.0, 0.0 )` instead of `(BOX, 0, 0, 0, 0.0, 1.0, 0.0 )`. Like so. The first two points with the lowest i-index are fixed. @@ -272,16 +272,16 @@ At a maximum of ~0.06% relative difference between the discrete adjoint and fini +---+-------------------+-------------------+-------------------+-------------------+ | # | DA gradient | FD gradient | absolute diff | relative diff [%] | +---+-------------------+-------------------+-------------------+-------------------+ -| 0 | -0.0015564281 | -0.0015568653 | 0.0000004371 | 0.0280852588 | -| 1 | -0.0002703336 | -0.0002704940 | 0.0000001604 | 0.0593316909 | -| 2 | 0.0005547379 | 0.0005546735 | 0.0000000645 | 0.0116235088 | -| 3 | 0.0008743978 | 0.0008743497 | 0.0000000481 | 0.0055009922 | -| 4 | 0.0008628380 | 0.0008627899 | 0.0000000481 | 0.0055767097 | -| 5 | -0.0015564281 | -0.0015568653 | 0.0000004371 | 0.0280851247 | -| 6 | -0.0002703336 | -0.0002704940 | 0.0000001604 | 0.0593325030 | -| 7 | 0.0005547379 | 0.0005546735 | 0.0000000645 | 0.0116236896 | -| 8 | 0.0008743978 | 0.0008743497 | 0.0000000481 | 0.0054995042 | -| 9 | 0.0008628380 | 0.0008627899 | 0.0000000481 | 0.0055765589 | +| 0 | -0.0031128563 | -0.0031137331 | 0.0000008768 | 0.0281680151 | +| 1 | -0.0005406673 | -0.0005409528 | 0.0000002856 | 0.0528178961 | +| 2 | 0.0011094759 | 0.0011093871 | 0.0000000888 | 0.0080034781 | +| 3 | 0.0017487956 | 0.0017487712 | 0.0000000245 | 0.0014009004 | +| 4 | 0.0017256761 | 0.0017256695 | 0.0000000066 | 0.0003839967 | +| 5 | -0.0031128563 | -0.0031137331 | 0.0000008769 | 0.0281689729 | +| 6 | -0.0005406673 | -0.0005409528 | 0.0000002855 | 0.0528118802 | +| 7 | 0.0011094759 | 0.0011093871 | 0.0000000888 | 0.0080064097 | +| 8 | 0.0017487956 | 0.0017487711 | 0.0000000246 | 0.0014043103 | +| 9 | 0.0017256761 | 0.0017256695 | 0.0000000066 | 0.0003847820 | +---+-------------------+-------------------+-------------------+-------------------+ ``` @@ -291,7 +291,7 @@ The setup of a shape optimization with FADO is rather straight forward once a wo The second notable extension to the gradient validation is of course the optimization setup itself. Please follow the tutorials FADO provides to learn more about the capabilities and options. But, in the provided script some additional explanations are given and more details to certain function can be printed to screen by adding e.g. `printDocumentation(driver.setFailureMode)` to the script if more information for that option are required. -The used optimization method is [SLSQP](https://docs.scipy.org/doc/scipy/reference/optimize.minimize-slsqp.html) from the [SciPy](https://docs.scipy.org/doc/scipy/index.html) library. +The optimization method used is [SLSQP](https://docs.scipy.org/doc/scipy/reference/optimize.minimize-slsqp.html) from the [SciPy](https://docs.scipy.org/doc/scipy/index.html) library. The unconstrained optimization with the objective function of `SURFACE_SPECIES_VARIANCE` (as in the gradient validation introduced) is started with the following command: ``` From 481f1675d53c1fda5d56f72ded03110474b82a9f Mon Sep 17 00:00:00 2001 From: TobiKattmann Date: Fri, 10 Dec 2021 10:39:03 +0100 Subject: [PATCH 09/10] Add images for Opt tutorial --- .../Species_Transport/Species_Transport.md | 14 +++++++++++--- .../images/FFD-Box-indicators.jpg | Bin 0 -> 269108 bytes .../Species_Transport/images/FFD-Box.jpg | Bin 0 -> 285322 bytes .../Species_Transport/images/OF_GradNorm.png | Bin 0 -> 2626015 bytes .../images/Optimized-Geometry.jpg | Bin 0 -> 398641 bytes .../images/bad-mesh-deform.jpg | Bin 0 -> 155575 bytes .../images/good-mesh-deform.jpg | Bin 0 -> 152561 bytes .../Species_Transport/images/opt_cycle.gif | Bin 0 -> 681315 bytes 8 files changed, 11 insertions(+), 3 deletions(-) create mode 100644 tutorials_files/design_features/Species_Transport/images/FFD-Box-indicators.jpg create mode 100644 tutorials_files/design_features/Species_Transport/images/FFD-Box.jpg create mode 100644 tutorials_files/design_features/Species_Transport/images/OF_GradNorm.png create mode 100644 tutorials_files/design_features/Species_Transport/images/Optimized-Geometry.jpg create mode 100644 tutorials_files/design_features/Species_Transport/images/bad-mesh-deform.jpg create mode 100644 tutorials_files/design_features/Species_Transport/images/good-mesh-deform.jpg create mode 100644 tutorials_files/design_features/Species_Transport/images/opt_cycle.gif diff --git a/_tutorials/design_features/Species_Transport/Species_Transport.md b/_tutorials/design_features/Species_Transport/Species_Transport.md index 60597be9..747731df 100644 --- a/_tutorials/design_features/Species_Transport/Species_Transport.md +++ b/_tutorials/design_features/Species_Transport/Species_Transport.md @@ -242,6 +242,8 @@ $ SU2_DEF .cfg In this special case the deformed produces a bad mesh at the outlet, as the mesh is 'ripped apart' there. This happens because the FFD-Box only deforms what is prescribed in `DV_MARKER` and the remaining boundaries are considered 'clamped' in the volume mesh algorithm. All boundaries? No! The boundaries in `MARKER_SYM` are allowed to move along their symmetry plane in the volume mesher.This obviously requires the boundary to form a single plane which is the case for the present outlet. So, if the outlet is prescribed as a `MARKER_SYM` for the Volume deformation step the mesh deformation will yield a reasonable mesh. +After the mesh deformation it is advisable to also run a primal simulation on that deformed mesh, as the simulation settings (e.g. `CFL_NUMBER`) might not lead to a converging simulation anymore. For a later optimization run this testing can help keeping a converging primal through all deformations. + ![Bad mesh deformation](../../tutorials_files/design_features/Species_Transport/images/bad-mesh-deform.jpg) Figure (2): Mesh breaks at the `outlet`, as `outlet` nodes are clamped. @@ -267,7 +269,7 @@ In order to postprocess the results a python script is added which compares both $ python postprocess.py ``` -At a maximum of ~0.06% relative difference between the discrete adjoint and finite difference gradient,the agreement is excellent. +At a maximum of ~0.05% relative difference between the discrete adjoint and finite difference gradient,the agreement is excellent. ``` +---+-------------------+-------------------+-------------------+-------------------+ | # | DA gradient | FD gradient | absolute diff | relative diff [%] | @@ -298,10 +300,16 @@ The unconstrained optimization with the objective function of `SURFACE_SPECIES_V $ python optimization.py ``` -In order to compute the gradient norms of each iteration a `gradient_norm.py` script was added. +In order to compute the gradient norms of each Design iteration a `gradient_norm.py` script was added. The script will write a `gradient_norm.csv` into the folder root which. + +A helpful visualization after an optimization run is having the series of deformed meshes with their primal solution and FFD-Boxes. These solution are in their respective folders and one could tediously load every single one of them. +The script `create_Visu_symlinks.py` sweeps through the `DSN_*` folders and collects symbolic links of the primal solution and FFD-Boxes into a `visu_files` folder. The symbolic links also renames each file and appends an iteration number to the end of the filename (e.g. `ffd_004.vtk -> ../DSN_004/DEFORM/ffd_boxes_def_0.vtk`). Like so, this data can be loaded in [Paraview](https://www.paraview.org/), or probably any other post-processor, as a time series which allows for easy cycling through the designs. ![OF and Gradient Norm](../../tutorials_files/design_features/Species_Transport/images/OF_GradNorm.png) Figure (4): Objective Function value and Gradient Norm over optimizer iterations. 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z*=v@yhoco#mq;1Qqbx}AXG4W1mm!Lwc!)L8c3Oo}UQv|OL0&>Amz2gEAY%^%sf}Ql z9je3{uZeFxksMM%I&>rxDwG>Cs4zWpX&lsQf5nr6v=TGK23jIPIKc+3#~WDk9jw4Z zW6_o+f+8#eSbn6B-Bctt#w06JBl)!`Efjp0;yy`q8$tY?o!Q7BU;>`CAfBD2UB?3@8qyuK!3u`bSTi?T|5GIx87#8VYJn0ZL?Rk{g}_(ti8tn0!o_e2C?XpvwdE60joK6O^sJ~xw%PHukW+vAknFiG1_)u9v;>2E=$JC%8omzj_v zOB1I7i;q`E7qNC8?=v7ZQ6LzZe>sXUtD9Cy02LF%3e(%3 zh?Q3Hi2{ORJ%bN|0Gu$ZX8U2|$(RLlaS;#%FxS)*}E|yoAJb#*ci*K7k*mTt1cj z8EI@2oU9sSiW7Rg9gh5z$-&2N+!Lu>6S Date: Fri, 10 Dec 2021 10:50:42 +0100 Subject: [PATCH 10/10] Add ref to better FFD-tutorial where needed --- .../Inviscid_3D_Constrained_ONERAM6.md | 2 +- .../Multi_Objective_Shape_Design.md | 2 +- .../design_features/Species_Transport/Species_Transport.md | 2 +- .../Unsteady_Shape_Opt_NACA0012.md | 4 +++- 4 files changed, 6 insertions(+), 4 deletions(-) diff --git a/_tutorials/design_features/Inviscid_3D_Constrained_ONERAM6/Inviscid_3D_Constrained_ONERAM6.md b/_tutorials/design_features/Inviscid_3D_Constrained_ONERAM6/Inviscid_3D_Constrained_ONERAM6.md index 4e9f2d43..785f5011 100644 --- a/_tutorials/design_features/Inviscid_3D_Constrained_ONERAM6/Inviscid_3D_Constrained_ONERAM6.md +++ b/_tutorials/design_features/Inviscid_3D_Constrained_ONERAM6/Inviscid_3D_Constrained_ONERAM6.md @@ -101,7 +101,7 @@ FFD_CONTINUITY= 2ND_DERIVATIVE As the current implementation requires each FFD box to be a quadrilaterally-faced hexahedron (6 faces, 12 edges, 8 vertices), we can simply specify the 8 corner points of the box and the polynomial degree we would like to represent along each coordinate direction (x,y,z) in order to create the complete lattice of control points. It is convenient to think of the FFD box as a small structured mesh block with (i,j,k) indices for the control points, and note that the number of control points in each direction is the specified polynomial degree plus one. -In the example above, we are creating a box with control point dimensions 11, 9, and 2 in the x-, y-, and z-directions, respectively, for a total of 198 available control points. In the `FFD_DEFINITION` option, we give a name to the box ("WING"), and then list out the x, y, and z coordinates of each corner point. The order is important, and you can use the example above to match the convention. The degree is then specified in the `FFD_DEGREE` option. A view of the box with the control points numbered is in Figure (3). Note that the numbering in the figure is 1-based just for visualization, but within SU2, the control points have 0-based indexing. For example, the (1,1,1) control point in the figure is control point (0,0,0) within SU2. This is critical for specifying the design variables in the config file. +In the example above, we are creating a box with control point dimensions 11, 9, and 2 in the x-, y-, and z-directions, respectively, for a total of 198 available control points. In the `FFD_DEFINITION` option, we give a name to the box ("WING"), and then list out the x, y, and z coordinates of each corner point. The order is important, and you can use the example above to match the convention. Alternatively, [this tutorial](/tutorials/Species_Transport/) contains more in-depth information on how the numbering should be done. The degree is then specified in the `FFD_DEGREE` option. A view of the box with the control points numbered is in Figure (3). Note that the numbering in the figure is 1-based just for visualization, but within SU2, the control points have 0-based indexing. For example, the (1,1,1) control point in the figure is control point (0,0,0) within SU2. This is critical for specifying the design variables in the config file. ![Opt. ONERA FFD](../../tutorials_files/design_features/Inviscid_3D_Constrained_ONERAM6/images/onera_ffd_points.png) Figure (3): View of the control point identifying indices, which increase in value along the positive coordinate directions. Note that the numbering here is 1-based just for visualization, but within SU2, the control points have 0-based indexing. diff --git a/_tutorials/design_features/Multi_Objective_Shape_Design/Multi_Objective_Shape_Design.md b/_tutorials/design_features/Multi_Objective_Shape_Design/Multi_Objective_Shape_Design.md index e66cf8a9..8fab8f2e 100644 --- a/_tutorials/design_features/Multi_Objective_Shape_Design/Multi_Objective_Shape_Design.md +++ b/_tutorials/design_features/Multi_Objective_Shape_Design/Multi_Objective_Shape_Design.md @@ -71,7 +71,7 @@ OBJECTIVE_WEIGHT= -1.0E-7,1.0 ``` These options define a weighted sum: -1.0E-7 x (SURFACE_TOTAL_PRESSURE at the outlet) + (DRAG on the lower surface). The OBJECTIVE_FUNCTION and OBJECTIVE_WEIGHT options are set automatically during the optimization process, and are used for the calculation of the gradient. If we were starting this problem from scratch, at this point we would run the gradient method desired, in order to confirm that the gradients are being calculated as expected. In this tutorial, the discrete adjoint is used by default. When multiple objectives are specified as shown, a single adjoint solution for a 'combo' objective will be calculated, representing the gradient for the weighted sum. The upside of this is that it reduces the number of adjoint solutions required, with the downside that the contributions of different functionals to the gradient value will not be known. -Next the FFD box is defined in order to provide the design variables. The mesh is provided with the FFD box information already included, however when starting from scratch a preprocessing step using SU2_MSH is required. For further detail on FFD, see the [Constrainted Optimal Shape Design Tutorial](/tutorials/Inviscid_3D_Constrained_ONERAM6/). +Next the FFD box is defined in order to provide the design variables. The mesh is provided with the FFD box information already included, however when starting from scratch a preprocessing step using SU2_MSH is required. For further detail on FFD, see this [Unconstrained species transport tutorial](/tutorials/Species_Transport/) or [Constrainted Optimal Shape Design Tutorial](/tutorials/Inviscid_3D_Constrained_ONERAM6/). ``` % -------------------- FREE-FORM DEFORMATION PARAMETERS -----------------------% % diff --git a/_tutorials/design_features/Species_Transport/Species_Transport.md b/_tutorials/design_features/Species_Transport/Species_Transport.md index 747731df..4dd732aa 100644 --- a/_tutorials/design_features/Species_Transport/Species_Transport.md +++ b/_tutorials/design_features/Species_Transport/Species_Transport.md @@ -14,7 +14,7 @@ follows: Inc_Species_Transport ## Disclaimer -This Tutorial builds directly on the case given as Prerequisite on the top of the site [link](tutorials/Inc_Species_Transport/). Therefore details to the problem setup, mesh, etc. are not repeated here. However the process outlined in this tutorial is directly applicable to many other cases using SU2. +This Tutorial builds directly on the case given as Prerequisite on the top of the site [link](/tutorials/Inc_Species_Transport/). Therefore details to the problem setup, mesh, etc. are not repeated here. However the process outlined in this tutorial is directly applicable to many other cases using SU2. Instead of the python tools for finite differences or shape optimization that are part of SU2 directly, the standalone python tool [FADO](https://github.com/su2code/FADO) is used. Please follow the information on the given github repo in order to use FADO. diff --git a/_tutorials/design_features/Unsteady_Shape_Opt_NACA0012/Unsteady_Shape_Opt_NACA0012.md b/_tutorials/design_features/Unsteady_Shape_Opt_NACA0012/Unsteady_Shape_Opt_NACA0012.md index 1938d3c0..05050c32 100644 --- a/_tutorials/design_features/Unsteady_Shape_Opt_NACA0012/Unsteady_Shape_Opt_NACA0012.md +++ b/_tutorials/design_features/Unsteady_Shape_Opt_NACA0012/Unsteady_Shape_Opt_NACA0012.md @@ -42,6 +42,8 @@ in the [project website repository](https://github.com/su2code/Tutorials). You will need the configuration file ([unsteady_naca0012_opt.cfg](https://github.com/su2code/Tutorials/tree/master/design/Unsteady_Shape_Opt_NACA0012/unsteady_naca0012_opt.cfg)) and the mesh file ([unsteady_naca0012_FFD.su2](https://github.com/su2code/Tutorials/tree/master/design/Unsteady_Shape_Opt_NACA0012/unsteady_naca0012_FFD.su2)). +The used mesh already contains an FFD-Box. For more information on how to set up an FFD-Box on your own, please follow [this tutorial](/tutorials/Species_Transport/). + ## Tutorial ## The following tutorial will walk you through the steps required when performing a shape optimization of the NACA0012 airfoil using SU2. @@ -51,7 +53,7 @@ If you have yet to complete these requirements, please see the [Download](/docs_ ### Background ### -This test case is for the NACA0012 airfoil in viscous unsteady flow. The NACA airfoils are two dimensional shapes for aircraft wings developed by the National Advisory Committee for Aeronautics (NACA, 1915-1958, predeccessor of NASA). The NACA-4-Digit series is a set of 78 airfoil configurations which were created for wind-tunnel tests to explore the effect of different airfoil shapes on aerdynamic coefficients as drag or lift. +This test case is for the NACA0012 airfoil in viscous unsteady flow. The NACA airfoils are two dimensional shapes for aircraft wings developed by the National Advisory Committee for Aeronautics (NACA, 1915-1958, predecessor of NASA). The NACA-4-Digit series is a set of 78 airfoil configurations which were created for wind-tunnel tests to explore the effect of different airfoil shapes on aerodynamic coefficients as drag or lift. ### Mesh Description ###

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