From b7fc6d43fbf4c8225d076f7c182c78fd696fa6cb Mon Sep 17 00:00:00 2001 From: bigfooted Date: Sat, 15 Feb 2025 11:47:02 +0100 Subject: [PATCH 1/8] initial setup --- _data/tutorials.yml | 1 + .../Inc_Von_Karman/Inc_Von_Karman.md | 181 ++++++++++++++++++ 2 files changed, 182 insertions(+) create mode 100644 _tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md diff --git a/_data/tutorials.yml b/_data/tutorials.yml index ddf266bf..eac96771 100644 --- a/_data/tutorials.yml +++ b/_data/tutorials.yml @@ -31,6 +31,7 @@ - Inc_Species_Transport - Inc_Species_Transport_Composition_Dependent_Model - Inc_Turbulent_Bend + - Inc_Laminar_Von_Karman - title: Structural Mechanics tutorials: diff --git a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md new file mode 100644 index 00000000..a9c65419 --- /dev/null +++ b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md @@ -0,0 +1,181 @@ +--- +title: Turbulent Bend with wall functions +permalink: /tutorials/Inc_Turbulent_Bend/ +written_by: Nijso Beishuizen +for_version: 7.4.0 +revised_by: +revision_date: +revised_version: +solver: INC_RANS +requires: SU2_CFD +complexity: intermediate +follows: Inc_Turbulent_Flat_Plate +--- + +![Turb Bend Setup](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/yplus_001_3Dshot_with_mesh.png) + +Figure (1): impression of the 90 degree bend with velocity contours. + +## Goals + +In this tutorial we will simulate the turbulent flow in a 90 degree pipe bend. We will touch upon the following aspects: +- the mesh generation in the meshing tool gmsh +- the setup of the model in SU2, using wall functions with the SST turbulence model +- creating a more suitable inlet profile from the solution with uniform inlet conditions +- postprocessing the results with python and paraview + + +## Resources + +The resources for this tutorial can be found in the [incompressible_flow/Inc_Turbulent_Bend_Wallfunctions](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions) directory in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the configuration file ([sudo.cfg](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/sudo.cfg)) and the mesh file ([sudo_coarse.su2](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/sudo_coarse.su2)). Additionally, the Gmsh geometry is also provided so you can recreate the mesh yourself: [sudo_coarse.geo](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/sudo_coarse.geo). + +This test case was also presented at the 2022 SU2 conference: +- [2022 su2 conference](https://su2foundation.org/su2conference2022/) +- [doc:Turbulence modeling with wall functions](https://drive.google.com/file/d/16al4x0VIk9tDepSBjrJf0YTqaEu9QHDn/view) +- [youtube:Turbulence modeling with wall functions](https://drive.google.com/file/d/16al4x0VIk9tDepSBjrJf0YTqaEu9QHDn/view) + +## Tutorial + +The following tutorial will briefly introduce the mesh generation with the meshing software [gmsh](https://gmsh.info/), which is a great tool especially for structured mesh generation. The test case will then be set up, using wall functions to avoid the use of very fine meshes. The postprocessing with paraview will be briefly introduced, where we do a quick check to see if the solution looks right, and then perform some data extraction for comparison with measurements. + +### Background + +The turbulent flow though the 90 degree circular pipe bend can be seen in Figure 1 and is characterized by 3 flow phenomena that we will try to capture. First of all, the turbulent flow separates in the bend. The exact location depends on the Reynolds number and the radius of curvature of the bend. Secondly, the flow re-attaches after the bend and finally, two counter-rotating vortices are formed after the bend, called Dean vortices. This particular geometry was studied experimentally by Sudo, Sumida and Hibara (*Experiments in Fluids* 25, 1998) [doi](https://doi.org/10.1007/s003480050206) and simulation results can be found in Dutta, Saha, Nandi and Pal (*Eng. Science Technol.* 19(2), 2016) [doi](https://doi.org/10.1016/j.jestch.2015.12.005). + +### Problem Setup + +The configuration is a 90 degree bend with a diameter of D=0.104 m and a radius of curvature of 2D=0.208 m. We make use of the horizontal symmetry plane and only simulate the upper half of the pipe. The Reynolds number based on pipe diameter is 60,000, which corresponds to a mean velocity of 8.7 m/s. A straight section of L=5D is attached before and a section of L=10D is attached after the bend. Uniform velocity and turbulence boundary conditions are applied at the inlet. The entry length of 5L is not sufficient for turbulence to fully develop and in the experimental setup, the entry and exit lengths were 100D and 40D. This means that the flow conditions that we impose at the inlet are not the actual, fully developed turbulent flow profiles that were present in the experiment. However, This can be solved by first performing a simulation with uniform inlet conditions and then restarting the simulation with an imposed profile for all the transported variables. The inlet profile can be created with paraview from the CFD solution by extracting the solution at 4D downstream of the inlet, where the flow is already partially developed. + +### Mesh Description + +The mesh consists of a structured mesh with 70k cells and 75k points. The mesh was created using Gmsh and the configuration file to create the mesh can be found here: [sudo_coarse.geo](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/sudo_coarse.geo). The only thing you need to do to create a mesh from the geometry is start Gmsh, and then load the .geo file. You will then see the geometry in the Gmsh visualization window. If you click on *Mesh->3D* the 3D mesh will be generated. You can then export the mesh as a .su2 file by choosing *File->Export*. The mesh will automatically be saved in su2 format when the filename has the extension .su2. In general, you should not choose *save all elements* because this will also save additional points that were used to construct the geometry but are not part of the final mesh, like for example the center of a circle. + +![Turb sudo Mesh](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/Screenshot_gmsh.png) + +Figure (2): Mesh generated by Gmsh, showing the cross-sectional block structured mesh. + +### Configuration File Options + +Several of the key configuration file options for this simulation are highlighted here. First, we activate the turbulence model: + +``` +% ------------- direct, adjoint, and linearized problem definition ------------% +% +SOLVER= INC_RANS +INC_NONDIM= DIMENSIONAL +KIND_TURB_MODEL= SST +SST_OPTIONS= V2003m +``` + +We use the incompressible RANS solver to activate the turbulence model and we then choose the SST turbulence model, using the `SST_OPTIONS= V2003m` variant. + +``` +INC_INLET_TYPE= VELOCITY_INLET +INC_OUTLET_TYPE= PRESSURE_OUTLET +``` + +The inlet boundary is a velocity inlet and the outlet boundary is a pressure outlet. + +``` +MARKER_HEATFLUX= ( wall_1, 0.0, wall_2,0.0, wall_bend,0.0) +MARKER_INLET= ( inlet, 300.0, 8.7, 0.0, 0.0, 1.0 ) +MARKER_OUTLET= ( outlet, 0.0) +MARKER_SYM= ( symmetry_1, symmetry_bend, symmetry_2 ) +MARKER_INLET_TURBULENT= (inlet, 0.10, 100.0) +``` + +There is no heat transfer, so we set zero heatflux boundary conditions on the walls and we impose a velocity of 8.7 m/s, corresponding to the experiment of *Sudo et al.* The outlet pressure is set to 0 Pa. With the keyword **MARKER_INLET_TURBULENT**, we set the inlet turbulent intensity and the viscosity ratio. Now we are ready to set up the wall function model: + +``` +MARKER_WALL_FUNCTIONS= ( wall_1, STANDARD_WALL_FUNCTION, wall_2,STANDARD_WALL_FUNCTION, wall_bend, STANDARD_WALL_FUNCTION ) +WALLMODEL_KAPPA= 0.41 +WALLMODEL_B= 5.5 +WALLMODEL_MINYPLUS= 1.0 +WALLMODEL_MAXITER= 200 +WALLMODEL_RELFAC= 0.5 +``` + +We activate the wall functions with a single option **MARKER_WALL_FUNCTIONS**. At this moment, the only wall function that you can use is the **STANDARD_WALL_FUNCTION**. Setting **MARKER_WALL_FUNCTIONS** is sufficient to set up the wall function model, but there are 5 additional expert options that you can set as well. The constant kappa is interpreted as the von Karman constant and is usually chosen as 0.41. The integration constant B is chosen as 5.5. The minimum value of y+ where the wall function is switched off because the mesh is fine enough to be considered fully resolved is 1.0. A value of 5.0 is the default value chosen in the paper of *Nichols and Nelson (2004)*, but lower values are also possible. Note that Spalding's fit gives us the nondimensional velocity and therefore the wall shear stress in the entire boundary layer. +An iterative process (Newton's method) is used to compute the nondimensional velocity u+ from y+. The maximum number of iterations chosen here is 200, which is usually more than sufficient. The relaxation factor chosen for the Newton method is 0.5. If you see messages appearing like this: + +```Warning: computation of wall coefficients (y+) did not converge in 56 points``` + +you can either let the computations continue until the warning messages disappear, increase the maximum number of iterations or decrease the relaxation factor. If these measures do not help, then the problem is most probably due to the mesh quality or due to the physics (flow separation). + +### Running SU2 + +If possible, always use a parallel setup to increase computational time. Run the SU2_CFD executable in parallel using MPI and 4 nodes by entering + + $ mpirun -n 4 SU2_CFD sudo.cfg + +Your results should converge in around 1000 iterations. + +### Results + +![Turb Bend velocities](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/turb_bend_velocities.png) +Figure (3): Velocity contour with location of the slices where experimental values were obtained. + +The paraview multiblock file can now be visualized, and the result is shown in Figure (3). Shown is the velocity magnitude on the horizontal symmetry plane together with a number of contour plots at several vertical locations in the bend. + +## Part 2 : restart with an inlet profile + +In the experiment, the pipe bend was preceded by a very long straight pipe section with a length of 100D, ensuring that the turbulent flow is fully developed by the time it arrives at the pipe bend. In our simulations, we have only a straight section with a total length of 5D and constant inlet properties. We will now restart the simulation with an inlet profile that we extract from a slice of the pipe. It is a planar slice with the normal in the Z-direction, located at Z=2.5D from the inlet. Because in a multiblock mesh, nodes are duplicated on the boundary, so we first perform an *Extract Block* and select only the interior nodes. We then apply the slice on this extracted block. To keep the original quadrilateral cells, we de-select the option *triangulate slice*. Also make sure that the option *Merge duplicated points in the slice* is selected. In the information tab, you should see that the number points is 618, and we will check later that this corresponds with the number of nodes that SU2 expects in the inlet boundary file. +Now save the slice data, making sure that only the slice is selected in the Pipeline Browser. Choose the .csv file format, and choose as _Arrays To Write_ only the variables *Omega*, *Pressure*, *Velocity* and *Turb_Kin_Energy*. The point coordinates are automatically saved. Also choose scientific notation with precision "6" to make sure that you have enough digits for the accurate interpolation of the inlet profile. A simple pvpython script is provided in the tutorials folder here: [paraview_extract_slice_data.py](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/paraview_extract_slice_data.py). This is a python script that you can run with paraview's pvpython command and it will generate an inlet.csv file for you : + +``` +$ pvpython paraview_extract_slice_data.py +``` + + + +With python, matlab or a simple *awk* command it is easy to put the data in the correct format for the SU2 inlet profile. The awk command below reads the file *inlet.csv*, it assumes that the comma acts as a separator, it skips the first line (the header), and then prints the necessary columns and outputs it in the file inlet_test. We want symmetric data in the y-axis, so we check if the y-coordinate in column 2 is positive, and then we write this data for positive and negative y-coordinates. We write the data into the file *inlet_test*. + +``` +awk -F ',' '(NR>1) {if ($2>0.0) {printf ("%8f \t %8f \t %8f \t %6f \t %6f \t %6f \t %f \t %6f \t %6f \t %6f\n ", -$2,$3,-0.52,300.0, $9, 0.0, 0.0, 1.0, $6, $1);printf ("%8f \t %8f \t %8f \t %6f \t %6f \t %6f \t %f \t %6f \t %6f \t %6f\n ", $2,$3,-0.52,300.0, $9, 0.0, 0.0, 1.0, $6, $1)}}' inlet.csv > inlet_data +``` + + + +Now we setup SU2 to use an inlet boundary file. We change some configuration options. Locate and change the following options in the file: + +``` +RESTART_SOL= YES +SPECIFIED_INLET_PROFILE= YES +INLET_FILENAME= inlet.dat +``` + + + +The solution was saved as *restart.dat* and the filename used for the restart is named *solution.dat* (locate the option for the filenames in the config file!). You can simply copy the *restart.dat* file to *solution.dat* and restart the simulation with the above options. If you restart and the file *inlet.dat* is not present, SU2 will stop with the message + +``` Looked for: inlet.dat.``` +```Created a template profile file with default values named example_inlet.dat``` +```You can use this file as a guide for making your own profile specification.``` + +You will now have an example inlet profile saved in the file *example_inlet.dat*. You can now check that this file has 618 rows of data, for each of the nodes on the inlet plane. We only need the header (the first 5 lines of the file), so you can open the file, copy the first 5 lines, open the file *inlet_data* and add the 5 lines to the top of the file. You can now save this file as *inlet.dat* and restart the simulation. + +### Results + +We will now compare the simulation results of the pipe bend with results from the paper of *Sudo et al.* Some velocity measurements were performed at several locations in the pipe bend, and the location that we will use for comparison are shown in the figure below. + +![Turb Bend velocities](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/bend_with_slice_locations.png) + +Figure (4): Pipe bend showing the location of the slices that will be used for comparison with measurements. + +Below are some of the contour plots taken at several locations in the pipe, showing the velocity normal to the plane with the isocontours in black. The top half are the simulation results and the bottom half are the experimental results from *Sudo et al (1998)*. We see that the main flow features are captured in the simulation. + +![Turb Bend Contour1](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/coarse_1.png) + +![Turb Bend contour2](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/coarse_2.png) + +Figure (5): mean flow velocities in several pipe cross sections. + +A paraview script to extract the slices data as individual contour plots one by one can be found here: [extract_contours_sudo_bend.py](https://github.com/su2code/Tutorials/blob/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/extract_contours_sudo_bend.py). + +Below is a comparison of the axial velocity on the horizontal symmetry line through the vertical plane at $$\phi=90^0$$. The flow separation in the bend is difficult to capture correctly, and it leads to an underestimation of the local velocity near the inner radius of the bend. + +![Turb Bend lineplot](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/sudo_phi90_lineplot.png) + +Figure (6): velocity on the symmetry line in the vertical planar cross-section at $$\phi=90^0$$. + +The paraview script to extract the line data as a .csv file can be found here: [paraview_extract_linedata.py](https://github.com/su2code/Tutorials/blob/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/paraview_extract_linedata.py) From 101f23462e96f1c0b86f2b95fdbf3e1ab41db714 Mon Sep 17 00:00:00 2001 From: bigfooted Date: Wed, 19 Feb 2025 14:41:42 +0100 Subject: [PATCH 2/8] update text --- .../Inc_Von_Karman/Inc_Von_Karman.md | 194 +++++++++--------- .../Inc_Von_Karman/images/mesh.png | Bin 0 -> 793603 bytes .../Inc_Von_Karman/images/particles.png | Bin 0 -> 178412 bytes .../images/strouhal_cylinder_karman.png | Bin 0 -> 13766 bytes .../images/strouhal_cylinder_karman_Re.png | Bin 0 -> 15221 bytes .../strouhal_cylinder_karman_variation.png | Bin 0 -> 16609 bytes .../images/unsteady_cylinder.mp4 | Bin 0 -> 13452614 bytes 7 files changed, 98 insertions(+), 96 deletions(-) create mode 100644 tutorials_files/incompressible_flow/Inc_Von_Karman/images/mesh.png create mode 100644 tutorials_files/incompressible_flow/Inc_Von_Karman/images/particles.png create mode 100644 tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman.png create mode 100644 tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman_Re.png create mode 100644 tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman_variation.png create mode 100644 tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.mp4 diff --git a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md index a9c65419..7c8923a6 100644 --- a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md +++ b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md @@ -1,181 +1,183 @@ --- -title: Turbulent Bend with wall functions -permalink: /tutorials/Inc_Turbulent_Bend/ +title: Unsteady von Karman vortex shedding +permalink: /tutorials/Inc_Von_Karman/ written_by: Nijso Beishuizen -for_version: 7.4.0 +for_version: 8.0.1 revised_by: revision_date: revised_version: -solver: INC_RANS +solver: INC_NAVIER_STOKES requires: SU2_CFD complexity: intermediate -follows: Inc_Turbulent_Flat_Plate +follows: - --- -![Turb Bend Setup](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/yplus_001_3Dshot_with_mesh.png) +![von_karman_street](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.mp4) -Figure (1): impression of the 90 degree bend with velocity contours. +Figure (1): impression of the von Karman vortex shedding. ## Goals -In this tutorial we will simulate the turbulent flow in a 90 degree pipe bend. We will touch upon the following aspects: -- the mesh generation in the meshing tool gmsh -- the setup of the model in SU2, using wall functions with the SST turbulence model -- creating a more suitable inlet profile from the solution with uniform inlet conditions -- postprocessing the results with python and paraview +In this tutorial we will simulate the laminar but unsteady vortex shedding behind a 2D circular cylinder, also known as von Karman vortex shedding. The unsteady pattern behind the cylinder is known as a von Karman sheet. In this tutorial we will touch upon the following aspects: +- Setting up an unsteady simulation in SU2 +- Choosing appropriate settings for the unsteady simulation +- Inspecting the effects of our choices for the numerical setup +- Creating movies with paraview +- Extracting the shedding frequency with paraview +- visualize the forces on the cylinder with paraview ## Resources -The resources for this tutorial can be found in the [incompressible_flow/Inc_Turbulent_Bend_Wallfunctions](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions) directory in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the configuration file ([sudo.cfg](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/sudo.cfg)) and the mesh file ([sudo_coarse.su2](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/sudo_coarse.su2)). Additionally, the Gmsh geometry is also provided so you can recreate the mesh yourself: [sudo_coarse.geo](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/sudo_coarse.geo). +The resources for this tutorial can be found in the [incompressible_flow/Inc_Von_Karman](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman) directory in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the configuration file ([sudo.cfg](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman/vonkarman.cfg)) and the mesh file ([sudo_coarse.su2](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman/cylinder.su2)). Additionally, the Gmsh geometry is also provided so you can recreate the mesh yourself: [sudo_coarse.geo](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman/cylinder.geo). -This test case was also presented at the 2022 SU2 conference: -- [2022 su2 conference](https://su2foundation.org/su2conference2022/) -- [doc:Turbulence modeling with wall functions](https://drive.google.com/file/d/16al4x0VIk9tDepSBjrJf0YTqaEu9QHDn/view) -- [youtube:Turbulence modeling with wall functions](https://drive.google.com/file/d/16al4x0VIk9tDepSBjrJf0YTqaEu9QHDn/view) - -## Tutorial - -The following tutorial will briefly introduce the mesh generation with the meshing software [gmsh](https://gmsh.info/), which is a great tool especially for structured mesh generation. The test case will then be set up, using wall functions to avoid the use of very fine meshes. The postprocessing with paraview will be briefly introduced, where we do a quick check to see if the solution looks right, and then perform some data extraction for comparison with measurements. ### Background -The turbulent flow though the 90 degree circular pipe bend can be seen in Figure 1 and is characterized by 3 flow phenomena that we will try to capture. First of all, the turbulent flow separates in the bend. The exact location depends on the Reynolds number and the radius of curvature of the bend. Secondly, the flow re-attaches after the bend and finally, two counter-rotating vortices are formed after the bend, called Dean vortices. This particular geometry was studied experimentally by Sudo, Sumida and Hibara (*Experiments in Fluids* 25, 1998) [doi](https://doi.org/10.1007/s003480050206) and simulation results can be found in Dutta, Saha, Nandi and Pal (*Eng. Science Technol.* 19(2), 2016) [doi](https://doi.org/10.1016/j.jestch.2015.12.005). +When the Reynolds number $$Re=\rho \cdot V \cdot D / \mu$$ is low (Re < 40), the flow around a circular cylinder is laminar and steady. At around Re=49, the flow becomes unsteady and a periodic shedding of vortices forms in the wake of the cylinder, known as vortex shedding. The frequency of this vortex shedding is usually expressed in terms of the Strouhal number $$St= f \ cdot D / U_{\infty}$$, with f the shedding frequency, D the diameter of the cylinder and U the far-field velocity. Important experimental work can be found in the paper of Williamson, *Vortex Dynamics in the Cylinder Wake*, Annual Review of Fluid Mechanics (1996) [doi](https://doi.org/10.1146/annurev.fl.28.010196.002401). After around Re=180, a second frequency is observed experimentally, in the longitudinal direction. This frequency can only be observed in a 3D simulation. The increase in number of frequencies continues until after around Re=1000 the flow is considered fully turbulent. ### Problem Setup -The configuration is a 90 degree bend with a diameter of D=0.104 m and a radius of curvature of 2D=0.208 m. We make use of the horizontal symmetry plane and only simulate the upper half of the pipe. The Reynolds number based on pipe diameter is 60,000, which corresponds to a mean velocity of 8.7 m/s. A straight section of L=5D is attached before and a section of L=10D is attached after the bend. Uniform velocity and turbulence boundary conditions are applied at the inlet. The entry length of 5L is not sufficient for turbulence to fully develop and in the experimental setup, the entry and exit lengths were 100D and 40D. This means that the flow conditions that we impose at the inlet are not the actual, fully developed turbulent flow profiles that were present in the experiment. However, This can be solved by first performing a simulation with uniform inlet conditions and then restarting the simulation with an imposed profile for all the transported variables. The inlet profile can be created with paraview from the CFD solution by extracting the solution at 4D downstream of the inlet, where the flow is already partially developed. +The configuration is a circular cylinder of 5 mm surrounded by a far field at $$L = 30 D$$ and a rectangular wake region of $$X = 150 D$$. The far-field velocity is $$U_{\infty} = 0.12 m/s$$. With a viscosity of $$\mu=1.0 \cdot 10^{-5}$$ and a density of $$\rho = 1 kg/m3$$, the Reynolds number is $$Re=120$$. + +![von_karman_mesh](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/mesh.png) +Figure 2: Computational domain for the von Karman vortex shedding. + +The solution is initialized with uniform flow conditions. After an initial phase of around 4 seconds, the flow becomes periodic with a specific frequency depending on the Reynolds number. -### Mesh Description -The mesh consists of a structured mesh with 70k cells and 75k points. The mesh was created using Gmsh and the configuration file to create the mesh can be found here: [sudo_coarse.geo](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/sudo_coarse.geo). The only thing you need to do to create a mesh from the geometry is start Gmsh, and then load the .geo file. You will then see the geometry in the Gmsh visualization window. If you click on *Mesh->3D* the 3D mesh will be generated. You can then export the mesh as a .su2 file by choosing *File->Export*. The mesh will automatically be saved in su2 format when the filename has the extension .su2. In general, you should not choose *save all elements* because this will also save additional points that were used to construct the geometry but are not part of the final mesh, like for example the center of a circle. +### Mesh Description -![Turb sudo Mesh](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/Screenshot_gmsh.png) +The mesh consists of a structured mesh with 70k cells and 75k points. The mesh was created using Gmsh and the configuration file to create the mesh can be found here: [cylinder_wake.geo](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman/cylinder_wake.geo). The only thing you need to do to create a mesh from the geometry is start Gmsh, and then load the .geo file. You will then see the geometry in the Gmsh visualization window. If you click on *Mesh->2D* the 2D mesh will be generated. You can then export the mesh as a .su2 file by choosing *File->Export*. The mesh will automatically be saved in su2 format when the filename has the extension .su2. In general, you should not choose *save all elements* because this will also save additional points that were used to construct the geometry but are not part of the final mesh, like for example the center of a circle. -Figure (2): Mesh generated by Gmsh, showing the cross-sectional block structured mesh. ### Configuration File Options Several of the key configuration file options for this simulation are highlighted here. First, we activate the turbulence model: ``` -% ------------- direct, adjoint, and linearized problem definition ------------% -% -SOLVER= INC_RANS +SOLVER= INC_NAVIER_STOKES INC_NONDIM= DIMENSIONAL -KIND_TURB_MODEL= SST -SST_OPTIONS= V2003m +KIND_TURB_MODEL= NONE ``` -We use the incompressible RANS solver to activate the turbulence model and we then choose the SST turbulence model, using the `SST_OPTIONS= V2003m` variant. +We use the incompressible NAVIER-STOKES without turbulence model, since the flow is unsteady but laminar. ``` -INC_INLET_TYPE= VELOCITY_INLET -INC_OUTLET_TYPE= PRESSURE_OUTLET +TIME_DOMAIN = YES +TIME_MARCHING= DUAL_TIME_STEPPING-2ND_ORDER +TIME_STEP= 0.005 +MAX_TIME=25.00 +TIME_ITER=2500 +INNER_ITER= 20 ``` -The inlet boundary is a velocity inlet and the outlet boundary is a pressure outlet. +The **TIME_DOMAIN** keyword activates transient simulations. We use a second order timestep, with a step size of $$\Delta t = 0.01 s$$. The maximum time is set to $$t_{max} = 25 s$$ or 2500 iterations, whichever is reached first. We use 20 inner iterations per timestep, which sufficiently converges the residuals. This is important to check, insufficient convergence per time step quickly leads to large errors. ``` -MARKER_HEATFLUX= ( wall_1, 0.0, wall_2,0.0, wall_bend,0.0) -MARKER_INLET= ( inlet, 300.0, 8.7, 0.0, 0.0, 1.0 ) -MARKER_OUTLET= ( outlet, 0.0) -MARKER_SYM= ( symmetry_1, symmetry_bend, symmetry_2 ) -MARKER_INLET_TURBULENT= (inlet, 0.10, 100.0) +INC_VELOCITY_INIT= ( 0.12, 0.0, 0.0 ) +MARKER_HEATFLUX= ( cylinder, 0.0 ) +MARKER_FAR= ( farfield_in,farfield_side,farfield_out ) +MARKER_MONITORING= ( cylinder ) ``` -There is no heat transfer, so we set zero heatflux boundary conditions on the walls and we impose a velocity of 8.7 m/s, corresponding to the experiment of *Sudo et al.* The outlet pressure is set to 0 Pa. With the keyword **MARKER_INLET_TURBULENT**, we set the inlet turbulent intensity and the viscosity ratio. Now we are ready to set up the wall function model: +There is no heat transfer, so we set zero heatflux boundary conditions on the walls and we impose a far-field velocity of 0.12 m/s. The **MARKER_MONITORING** keyword is used to monitor forces at the cylinder surface. We are interested in the lift and drag coefficient. ``` -MARKER_WALL_FUNCTIONS= ( wall_1, STANDARD_WALL_FUNCTION, wall_2,STANDARD_WALL_FUNCTION, wall_bend, STANDARD_WALL_FUNCTION ) -WALLMODEL_KAPPA= 0.41 -WALLMODEL_B= 5.5 -WALLMODEL_MINYPLUS= 1.0 -WALLMODEL_MAXITER= 200 -WALLMODEL_RELFAC= 0.5 +% monitoring points in the cylinder wake +CUSTOM_OUTPUTS= 'velocity : Macro{sqrt(pow(VELOCITY_X, 2) + pow(VELOCITY_Y, 2) )};\ + probe1 : Probe{$velocity}[0.15, 0.0]' +HISTORY_OUTPUT= (TIME_ITER, CUR_TIME, RMS_RES, LIST, DRAG, LIFT, SURFACE_STATIC_PRESSURE, CUSTOM) ``` -We activate the wall functions with a single option **MARKER_WALL_FUNCTIONS**. At this moment, the only wall function that you can use is the **STANDARD_WALL_FUNCTION**. Setting **MARKER_WALL_FUNCTIONS** is sufficient to set up the wall function model, but there are 5 additional expert options that you can set as well. The constant kappa is interpreted as the von Karman constant and is usually chosen as 0.41. The integration constant B is chosen as 5.5. The minimum value of y+ where the wall function is switched off because the mesh is fine enough to be considered fully resolved is 1.0. A value of 5.0 is the default value chosen in the paper of *Nichols and Nelson (2004)*, but lower values are also possible. Note that Spalding's fit gives us the nondimensional velocity and therefore the wall shear stress in the entire boundary layer. -An iterative process (Newton's method) is used to compute the nondimensional velocity u+ from y+. The maximum number of iterations chosen here is 200, which is usually more than sufficient. The relaxation factor chosen for the Newton method is 0.5. If you see messages appearing like this: - -```Warning: computation of wall coefficients (y+) did not converge in 56 points``` +We define a monitoring point called *probe1* at location $$(x,y)=(0.15, 0.0)$$ downstream of the cylinder and at the centerline. In this probe, we monitor the velocity magnitude $velocity$, that we compute from the existing velocity components. We write the probe information to the history output using the keyword **CUSTOM**. -you can either let the computations continue until the warning messages disappear, increase the maximum number of iterations or decrease the relaxation factor. If these measures do not help, then the problem is most probably due to the mesh quality or due to the physics (flow separation). ### Running SU2 -If possible, always use a parallel setup to increase computational time. Run the SU2_CFD executable in parallel using MPI and 4 nodes by entering +If possible, always use a parallel setup to reduce computational time (wall clock time). Run the SU2_CFD executable in parallel using MPI and 4 nodes by entering: - $ mpirun -n 4 SU2_CFD sudo.cfg + $ mpirun -n 4 SU2_CFD unsteady_incomp_cylinder.cfg -Your results should converge in around 1000 iterations. -### Results -![Turb Bend velocities](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/turb_bend_velocities.png) -Figure (3): Velocity contour with location of the slices where experimental values were obtained. - -The paraview multiblock file can now be visualized, and the result is shown in Figure (3). Shown is the velocity magnitude on the horizontal symmetry plane together with a number of contour plots at several vertical locations in the bend. +### Results -## Part 2 : restart with an inlet profile +![particles_streamlines](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/particles.png) +Figure (3): Developed von Karman street with injected particles. -In the experiment, the pipe bend was preceded by a very long straight pipe section with a length of 100D, ensuring that the turbulent flow is fully developed by the time it arrives at the pipe bend. In our simulations, we have only a straight section with a total length of 5D and constant inlet properties. We will now restart the simulation with an inlet profile that we extract from a slice of the pipe. It is a planar slice with the normal in the Z-direction, located at Z=2.5D from the inlet. Because in a multiblock mesh, nodes are duplicated on the boundary, so we first perform an *Extract Block* and select only the interior nodes. We then apply the slice on this extracted block. To keep the original quadrilateral cells, we de-select the option *triangulate slice*. Also make sure that the option *Merge duplicated points in the slice* is selected. In the information tab, you should see that the number points is 618, and we will check later that this corresponds with the number of nodes that SU2 expects in the inlet boundary file. -Now save the slice data, making sure that only the slice is selected in the Pipeline Browser. Choose the .csv file format, and choose as _Arrays To Write_ only the variables *Omega*, *Pressure*, *Velocity* and *Turb_Kin_Energy*. The point coordinates are automatically saved. Also choose scientific notation with precision "6" to make sure that you have enough digits for the accurate interpolation of the inlet profile. A simple pvpython script is provided in the tutorials folder here: [paraview_extract_slice_data.py](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/paraview_extract_slice_data.py). This is a python script that you can run with paraview's pvpython command and it will generate an inlet.csv file for you : +The figure above shows the von Karman vortices. The colored vorticity gradients are created in the wake immediately behind the cylinder, and transported downstream. In paraview, we inject particles and let them be transported downstream over streamlines. We can clearly see that the particles are not mixed homogeneously but are being transported in batches of red and green particles moving with their corresponding vortices. -``` -$ pvpython paraview_extract_slice_data.py -``` +![validation](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman.png) - +Figure (4): Strouhal number, comparison with experimental data from Williamson (2006). -With python, matlab or a simple *awk* command it is easy to put the data in the correct format for the SU2 inlet profile. The awk command below reads the file *inlet.csv*, it assumes that the comma acts as a separator, it skips the first line (the header), and then prints the necessary columns and outputs it in the file inlet_test. We want symmetric data in the y-axis, so we check if the y-coordinate in column 2 is positive, and then we write this data for positive and negative y-coordinates. We write the data into the file *inlet_test*. +The Strouhal number can be computed from the lift coefficient that was stored in the history.csv file. A simple python file gives us the frequency from the FFT: -``` -awk -F ',' '(NR>1) {if ($2>0.0) {printf ("%8f \t %8f \t %8f \t %6f \t %6f \t %6f \t %f \t %6f \t %6f \t %6f\n ", -$2,$3,-0.52,300.0, $9, 0.0, 0.0, 1.0, $6, $1);printf ("%8f \t %8f \t %8f \t %6f \t %6f \t %6f \t %f \t %6f \t %6f \t %6f\n ", $2,$3,-0.52,300.0, $9, 0.0, 0.0, 1.0, $6, $1)}}' inlet.csv > inlet_data -``` +```python +import pandas as pd +import numpy as np +import matplotlib.pyplot as plt +import scipy.fftpack +# diameter of cylinder +D = 0.01 +# velocity +U = 0.12 +# Number of samplepoints +N = 2500 +# sample spacing (timestep) +T = 0.01 +# extract the lift coefficient from the history file +df = pd.read_csv('cl.csv') -Now we setup SU2 to use an inlet boundary file. We change some configuration options. Locate and change the following options in the file: +# assign data +x = df['Cur_Time'] +y = df['CL'] -``` -RESTART_SOL= YES -SPECIFIED_INLET_PROFILE= YES -INLET_FILENAME= inlet.dat -``` +# compute DFT with optimized FFT +xf = np.linspace(0.0, 1.0/(2.0*T), N//2) +yf = np.fft.fft(y) +yf2 = 2.0/N * np.abs(yf[:N//2]) +fig, ax = plt.subplots() +plt.xlim(0,5.0) +ax.plot(xf, yf2 ) +plt.show() -The solution was saved as *restart.dat* and the filename used for the restart is named *solution.dat* (locate the option for the filenames in the config file!). You can simply copy the *restart.dat* file to *solution.dat* and restart the simulation with the above options. If you restart and the file *inlet.dat* is not present, SU2 will stop with the message +print("index of max = ",np.argmax(yf2)) +freq = xf[np.argmax(yf2)] +print("frequency of max = ",freq) -``` Looked for: inlet.dat.``` -```Created a template profile file with default values named example_inlet.dat``` -```You can use this file as a guide for making your own profile specification.``` +St = freq * D / U +print("strouhal number = ",St) +``` -You will now have an example inlet profile saved in the file *example_inlet.dat*. You can now check that this file has 618 rows of data, for each of the nodes on the inlet plane. We only need the header (the first 5 lines of the file), so you can open the file, copy the first 5 lines, open the file *inlet_data* and add the 5 lines to the top of the file. You can now save this file as *inlet.dat* and restart the simulation. -### Results +When we compare the Strouhal number with the experimental data from Williamson, we see in Figure 4 that the frequency is underpredicted. We will vary some numerical settings to investigate if we can improve the prediction of the Strouhal number. -We will now compare the simulation results of the pipe bend with results from the paper of *Sudo et al.* Some velocity measurements were performed at several locations in the pipe bend, and the location that we will use for comparison are shown in the figure below. -![Turb Bend velocities](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/bend_with_slice_locations.png) -Figure (4): Pipe bend showing the location of the slices that will be used for comparison with measurements. +### Numerical variations -Below are some of the contour plots taken at several locations in the pipe, showing the velocity normal to the plane with the isocontours in black. The top half are the simulation results and the bottom half are the experimental results from *Sudo et al (1998)*. We see that the main flow features are captured in the simulation. +![validation](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman.png) -![Turb Bend Contour1](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/coarse_1.png) +Figure (5): Comparison of different numerical settings -![Turb Bend contour2](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/coarse_2.png) +In Figure 5, we see the effect of different numerical settings on the prediction of the Strouhal number. The second order scheme predicts a Strouhal number of $$St = 0.1734$$, slightly over predicting the experimental value of $$St_{exp} = 0.170$$. When switching from second order in time to first order, the Strouhal number is under predicted by 8 \% compared to the second order schem. Also, when increasing the time step from 0.01 s to 0.02 seconds, the St decreases by 2 \%. When increasing the time step even further to $$ \Delta t = 0.05 s%%, St decreases by 13 \%. The period of the nondimensional frequency is $$f \approx 0.5 s$$, so with a timestep of 0.01 s we have 50 time steps per period, we have 25 time steps when $$\Delta t = 0.02 s$$, and only 10 time steps when $$\Delta t = 0.05 s$$. It is clear that 10 time steps per period is not sufficient. -Figure (5): mean flow velocities in several pipe cross sections. +It is also known that the size of the computational domain influences the results, so we reduce the domain by half, $$L = 15 D$$ and $$X = 75 D$$. The Strouhal then increases to $$St = 0.1768$$, an increase of 2 \%. It seems that a far-field that is 15D away from the cylinder is sufficient. + +As a final test, the testcase can be executed for varying Reynolds numbers, ranging from Re=60 to Re=180, giving the result in Figure (6). -A paraview script to extract the slices data as individual contour plots one by one can be found here: [extract_contours_sudo_bend.py](https://github.com/su2code/Tutorials/blob/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/extract_contours_sudo_bend.py). +![validation](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman_Re.png) -Below is a comparison of the axial velocity on the horizontal symmetry line through the vertical plane at $$\phi=90^0$$. The flow separation in the bend is difficult to capture correctly, and it leads to an underestimation of the local velocity near the inner radius of the bend. +Figure (5): Comparison of numerical Strouhal numbers with experiments for varying Reynolds numbers. -![Turb Bend lineplot](../../tutorials_files/incompressible_flow/Inc_Turbulent_Bend/images/sudo_phi90_lineplot.png) +For the lower Reynolds numbers, the Strouhal number seems to be more sensitive to the geometry, mesh and settings and the Strouhal number is under predicted for $$St<80$$. -Figure (6): velocity on the symmetry line in the vertical planar cross-section at $$\phi=90^0$$. +### Final notes -The paraview script to extract the line data as a .csv file can be found here: [paraview_extract_linedata.py](https://github.com/su2code/Tutorials/blob/master/incompressible_flow/Inc_Turbulent_Bend_Wallfunctions/paraview_extract_linedata.py) +The paraview statefile to create the movie can be found here: [paraview_vonkarman.pvsm](https://github.com/su2code/Tutorials/blob/master/incompressible_flow/Inc_Von_Karman/paraview_vonkarman.pvsm) diff --git a/tutorials_files/incompressible_flow/Inc_Von_Karman/images/mesh.png b/tutorials_files/incompressible_flow/Inc_Von_Karman/images/mesh.png new file mode 100644 index 0000000000000000000000000000000000000000..7f35d19cf4e0bd260afc3753eca17c783fc530fd GIT binary patch literal 793603 zcmeEt^+S`<7dN(ofGC{`(%sSq-O`;BqdP_^sEB|_ODo+CqXsIH112?MjIIHr$Ec0> z@%w$>zvBJ!!=BI1z0ZB_Jv`@}&pr1nMps*fl$f5Fh=_<(O;u5ki0I}X5z&o1cdrAI zU9nYW;6mxAWa9V2%gYU9Z|ev0^dQo;^|3VqIRvIerWg_tJtk69d|?n|wS$@hvl(Zu zUwBqg5y@p}g2}HR&zDFZ8d|dZ8^Q#m(1k{V+ zfAb_FdVBQU@!EgT&tTn#{{W&z*;3R0A}{6%zW<_Uq4WS{rRCyGyY+q+0Mo${u&CAOh9UaZd$?4?e zw6U=<@J1w6y=WY*$zk8=WQtg5*Z8NVw^vL8=`g&Nwzjs1hliDwRd{&#ix)3!ZEd~1 zy+I(f!qt(&)YQ}!G~^t9SDfU^mWh$EvbuU?cvwqYTbVV{Su7JX-4!VF-?8#c(i}_? 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zMc<#Wm!8-1LPi35@KMlL($^9vY^7(?0DEjAIj8p0v&)&;F`n50KX9>|h<q65!Q@?v z9ee5d6L65)Dv*;0>Dj5Mfb1o<_%z8u_JO*_!Ha%3t%s}&Uzg|5_gP>(#D5sIAa<EH zc_2=EaAefncqrc+ATw@;EqX4*?GyxlOE|&7<q_-J%+%cZGP56py!I!r_VARx2Qnsp zsn48P4<avi#A5s>oZ6C4DRz9wHz0#|yYp~Lf}fRO6BQjmE{Z;t`PD{Ly}pz$1M@`F z)H|ZpWVz@%YJ?cj&_oP<oF&HJd@mBOt`^JAz7<>2Z;4;mEW>8d$iQgg65mDy70nWu zT=gf0`6=TO{=<faO9#r2^^i|LmfUcCbfiSUFwnoqSW8my@{b92bZO$?*u>Vx=KlZ> Ce1_Qo literal 0 HcmV?d00001 From 68d4d6784b93c5748f6bd7a230920cd0f4d7e811 Mon Sep 17 00:00:00 2001 From: bigfooted <bigfootedrockmidget@hotmail.com> Date: Wed, 19 Feb 2025 14:44:57 +0100 Subject: [PATCH 3/8] update figure and python script --- .../Inc_Von_Karman/Inc_Von_Karman.md | 62 ++++++++++++------- 1 file changed, 38 insertions(+), 24 deletions(-) diff --git a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md index 7c8923a6..eac63790 100644 --- a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md +++ b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md @@ -12,7 +12,7 @@ complexity: intermediate follows: - --- -![von_karman_street](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.mp4) +![von_karman_street](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.mp4) Figure (1): impression of the von Karman vortex shedding. @@ -40,7 +40,7 @@ When the Reynolds number $$Re=\rho \cdot V \cdot D / \mu$$ is low (Re < 40), the The configuration is a circular cylinder of 5 mm surrounded by a far field at $$L = 30 D$$ and a rectangular wake region of $$X = 150 D$$. The far-field velocity is $$U_{\infty} = 0.12 m/s$$. With a viscosity of $$\mu=1.0 \cdot 10^{-5}$$ and a density of $$\rho = 1 kg/m3$$, the Reynolds number is $$Re=120$$. -![von_karman_mesh](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/mesh.png) +![von_karman_mesh](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/mesh.png) Figure 2: Computational domain for the von Karman vortex shedding. The solution is initialized with uniform flow conditions. After an initial phase of around 4 seconds, the flow becomes periodic with a specific frequency depending on the Reynolds number. @@ -103,54 +103,68 @@ If possible, always use a parallel setup to reduce computational time (wall cloc ### Results -![particles_streamlines](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/particles.png) +![particles_streamlines](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/particles.png) Figure (3): Developed von Karman street with injected particles. The figure above shows the von Karman vortices. The colored vorticity gradients are created in the wake immediately behind the cylinder, and transported downstream. In paraview, we inject particles and let them be transported downstream over streamlines. We can clearly see that the particles are not mixed homogeneously but are being transported in batches of red and green particles moving with their corresponding vortices. -![validation](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman.png) +![validation](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman.png) Figure (4): Strouhal number, comparison with experimental data from Williamson (2006). The Strouhal number can be computed from the lift coefficient that was stored in the history.csv file. A simple python file gives us the frequency from the FFT: ```python +#%matplotlib inline +#import matplotlib.pyplot as plt import pandas as pd import numpy as np -import matplotlib.pyplot as plt import scipy.fftpack +import csv + +# Return value belonging to key in config.cfg +# (splits key= value for you) +def find_config_key_value(filename,config_key): + with open(filename, "r") as file: + for line in file: + line = line.split('=') + if line[0] == config_key: + print(line[-1].strip() ) + return(line[-1].strip()) + raise ValueError('key not found:',config_key) # diameter of cylinder D = 0.01 -# velocity -U = 0.12 -# Number of samplepoints -N = 2500 -# sample spacing (timestep) -T = 0.01 -# extract the lift coefficient from the history file -df = pd.read_csv('cl.csv') +# read history, use comma as separator, with zero or more spaces before or after +df = pd.read_csv('history.csv', sep='\s*,\s*') + +T = float(find_config_key_value('unsteady_incomp_cylinder.cfg','TIME_STEP')) +U = find_config_key_value('unsteady_incomp_cylinder.cfg','INC_VELOCITY_INIT') +N = len(df.index) +print('timestep=',T) +print('samplepoints=',N) +print('velocity=',U) +U = float(U.replace('(','').replace(')','').split(',')[0].strip()) +print('velocity=',U) # assign data -x = df['Cur_Time'] -y = df['CL'] +x = df['"Cur_Time"'] +y = df['"CL"'] # compute DFT with optimized FFT xf = np.linspace(0.0, 1.0/(2.0*T), N//2) -yf = np.fft.fft(y) +yf = np.fft.fft(y) yf2 = 2.0/N * np.abs(yf[:N//2]) -fig, ax = plt.subplots() -plt.xlim(0,5.0) - -ax.plot(xf, yf2 ) -plt.show() +#fig, ax = plt.subplots() +#plt.xlim(0,5.0) +#ax.plot(xf, yf2 ) +#plt.show() print("index of max = ",np.argmax(yf2)) freq = xf[np.argmax(yf2)] print("frequency of max = ",freq) - St = freq * D / U print("strouhal number = ",St) ``` @@ -162,7 +176,7 @@ When we compare the Strouhal number with the experimental data from Williamson, ### Numerical variations -![validation](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman.png) +![validation](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman_variation.png) Figure (5): Comparison of different numerical settings @@ -172,7 +186,7 @@ It is also known that the size of the computational domain influences the result As a final test, the testcase can be executed for varying Reynolds numbers, ranging from Re=60 to Re=180, giving the result in Figure (6). -![validation](../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman_Re.png) +![validation](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman_Re.png) Figure (5): Comparison of numerical Strouhal numbers with experiments for varying Reynolds numbers. From 40535fec2b179fbbbf51e0a96ba1882d5bd37481 Mon Sep 17 00:00:00 2001 From: bigfooted <bigfootedrockmidget@hotmail.com> Date: Wed, 19 Feb 2025 15:46:27 +0100 Subject: [PATCH 4/8] update gif and fix aachen turbine link --- _data/tutorials.yml | 1 + .../Aachen_Turbine/Aachen_Turbine.md | 6 +++--- .../Inc_Von_Karman/Inc_Von_Karman.md | 5 ++--- _tutorials/index.md | 4 ++++ .../images/unsteady_cylinder.gif | Bin 0 -> 3941469 bytes 5 files changed, 10 insertions(+), 6 deletions(-) create mode 100644 tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.gif diff --git a/_data/tutorials.yml b/_data/tutorials.yml index eac96771..3bf37644 100644 --- a/_data/tutorials.yml +++ b/_data/tutorials.yml @@ -30,6 +30,7 @@ - Inc_Streamwise_Periodic - Inc_Species_Transport - Inc_Species_Transport_Composition_Dependent_Model + - Inc_Von_Karman - Inc_Turbulent_Bend - Inc_Laminar_Von_Karman diff --git a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md index a0e2875a..c59324f2 100644 --- a/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md +++ b/_tutorials/compressible_flow/Aachen_Turbine/Aachen_Turbine.md @@ -1,10 +1,10 @@ --- title: Aachen turbine stage with Mixing-plane permalink: /tutorials/Aachen_Turbine/ -written_by: @alecappiello +written_by: alecappiello for_version: 8.1.0 -revised_by: @joshkellyjak -revision_date: xxx +revised_by: joshkellyjak +revision_date: revised_version: 8.1.0 solver: RANS requires: SU2_CFD diff --git a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md index eac63790..53577781 100644 --- a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md +++ b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md @@ -9,12 +9,11 @@ revised_version: solver: INC_NAVIER_STOKES requires: SU2_CFD complexity: intermediate -follows: - --- -![von_karman_street](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.mp4) +![von_karman_street](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.gif) -Figure (1): impression of the von Karman vortex shedding. +Figure (1): impression of the von Karman vortex shedding. A high quality mp4 video can be found [here](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.mp4) ## Goals diff --git a/_tutorials/index.md b/_tutorials/index.md index b0578e82..778e8d80 100644 --- a/_tutorials/index.md +++ b/_tutorials/index.md @@ -50,6 +50,8 @@ Simulation of unsteady, external, viscous flow around an airfoil. Perform uncertainty quantification of errors arising due to assumptions inherent in turbulence models. * [Non-ideal compressible flow in a supersonic nozzle](/tutorials/NICFD_nozzle/) Simulation of compressible flow in a nozzle using non-ideal thermodynamic models. +* [Turbomachinery: Aachen Turbine stage with mixing plane](/tutorials/Aachen_Turbine/) +Simulation of compressible flow of the Aachen turbine demonstrating turbomachinery application. #### Incompressible Flow @@ -71,6 +73,8 @@ Simulation of internal, turbulent, incompressible flow in a unit cell of a 2D pi Simulation of internal, turbulent, incompressible flow through a mixing channel. * [Species Transport Composition Dependent Model](/tutorials/Inc_Species_Transport_Composition_Dependent_Model/) Simulation of internal, turbulent, 3D incompressible flow through a Kenics static mixer. +* [Vortex Shedding](/tutorials/Inc_Von_Karman/) +Simulation of unsteady laminar vortex shedding behind a circular cylinder. * [Turbulent Bend](/tutorials/Inc_Turbulent_Bend/) Simulation of turbulent flow in a 90 degree pipe bend using wall functions. diff --git a/tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.gif b/tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder.gif new file mode 100644 index 0000000000000000000000000000000000000000..0a90f4d0001853117e74d0ef598368f2cda12c6b GIT binary patch literal 3941469 zcmeF2RZ|>Z@TO;Q2yVe0f<tg;a0w6+0>Og^5AN>nu7kti?qqNqG`IwJchBtaf3dZn zV5|0GtIox_I2T=Ar>ow6`)LIwc_CrrO<)t?0S@3G6qjQ8tR-ot{ptG;Cr4X74;N{2 zHyJX|*yymYtWg2UvF1NA%*68Z%JTCQAzoh~<yDn_F7<Ua9c}epU5(u}nceNx-Cd16 ziH<#;4ZpjadYkh5ds_#}0w-Rd|Nr^_8TfxW0{}RH7XD66?wf{;l)4-bCpRJx007WF zAt4h2r~&N%-2wkoCL#Y<i{!r`(BOa%4!F$fh^QEd!itKD2?f&FDCBC>poDFiz;}!y zb0dyL!*Mi{QJ6|j#iL2gpCKxwJVnycoH{i*ER9SP*#genYZZ-Uqwff~%p5>-fk;uL zOcr2nM+9{&QbOrXKuYizY^@?|2XJ6eSgk@b2JA9LdbyEcqLd?>(0Uc~*A8pyiCfKj zhsW06`RsJgjo*HV7rxOgHpb0ii>v}ZDUd(IihsVEMa^$Y1*;I)$itrM4hD0jB$371 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zxJ6@Fp;@w&85)!mnou(N3*Q%pgL<g3I;*vMw=$0yn+R<m8G1ic^OP21i57hrdH2dV z*UtJT(pq73I$|%F^Njal=Q;zydVl}77-f&wCNdbGRoS8qI<6OaVK#80nfeO{8>#^t zW2X8hI<TL=RjF<HuhGYyw>q;m+ldK#t7SG&;d-r0+Kk7NoEx=!<8-&gdb3%(wOxC% z|CzPz*M3bgvddBlclMWVdSPaJ>TDaOUpu&kd$@^vY_;&S4LMtMYqm`rj`?_vyAW18 z8=PNQP<#Ye)e4URb}8SwxTAYv?s}{9x>qwsZm^SX;n}+brCyC%iKhFW$<m<F=X0gn zsoPtiPZGbQS%qI&z5V;Y0UV>}BLh}fH42=-36)fTySxcFwt?H$nk+ZN?V<k-!414` j4qS;OeCGtk!acmeHE`Y-*Ln+ysD{y^#N~2f0s;U#RWRkH literal 0 HcmV?d00001 From a1cf6e59ee4e0d832e31b07bc2c9236ea752e005 Mon Sep 17 00:00:00 2001 From: bigfooted <bigfootedrockmidget@hotmail.com> Date: Fri, 21 Feb 2025 23:04:31 +0100 Subject: [PATCH 5/8] update pics --- .../Inc_Von_Karman/Inc_Von_Karman.md | 7 ++++--- .../images/strouhal_cylinder_karman_Re.png | Bin 15221 -> 15132 bytes .../strouhal_cylinder_karman_variation.png | Bin 16609 -> 16067 bytes 3 files changed, 4 insertions(+), 3 deletions(-) diff --git a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md index 53577781..f335f339 100644 --- a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md +++ b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md @@ -179,7 +179,8 @@ When we compare the Strouhal number with the experimental data from Williamson, Figure (5): Comparison of different numerical settings -In Figure 5, we see the effect of different numerical settings on the prediction of the Strouhal number. The second order scheme predicts a Strouhal number of $$St = 0.1734$$, slightly over predicting the experimental value of $$St_{exp} = 0.170$$. When switching from second order in time to first order, the Strouhal number is under predicted by 8 \% compared to the second order schem. Also, when increasing the time step from 0.01 s to 0.02 seconds, the St decreases by 2 \%. When increasing the time step even further to $$ \Delta t = 0.05 s%%, St decreases by 13 \%. The period of the nondimensional frequency is $$f \approx 0.5 s$$, so with a timestep of 0.01 s we have 50 time steps per period, we have 25 time steps when $$\Delta t = 0.02 s$$, and only 10 time steps when $$\Delta t = 0.05 s$$. It is clear that 10 time steps per period is not sufficient. +In Figure 5, we see the effect of different numerical settings on the prediction of the Strouhal number. The second order scheme predicts a Strouhal number of $$St = 0.1734$$, slightly over predicting the experimental value of $$St_{exp} = 0.170$$. Note that our predictions of the Strouhal frequency depends on the number of samples and sampling rate that we provide to the FFT. We took 2500 timesteps of 0.01 s which contains enough cycles for an accurate frequency prediction using an fft. +When switching from second order in time to first order, the Strouhal number is under predicted by 6 \% compared to the experimental value. Also, when increasing the time step from 0.01 s to 0.02 seconds, the St decreases by 2 \%. When increasing the time step even further to $$ \Delta t = 0.04 s%%, St is under predicted by 8 \%. The period of the dimensional frequency is $$f \approx 0.5 s$$, so with a timestep of 0.01 s we have 50 time steps per period, we have 25 time steps when $$\Delta t = 0.02 s$$, and only 12 time steps when $$\Delta t = 0.04 s$$. It is clear that 12 time steps per period is not sufficient. It is also known that the size of the computational domain influences the results, so we reduce the domain by half, $$L = 15 D$$ and $$X = 75 D$$. The Strouhal then increases to $$St = 0.1768$$, an increase of 2 \%. It seems that a far-field that is 15D away from the cylinder is sufficient. @@ -187,9 +188,9 @@ As a final test, the testcase can be executed for varying Reynolds numbers, rang ![validation](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman_Re.png) -Figure (5): Comparison of numerical Strouhal numbers with experiments for varying Reynolds numbers. +Figure (6): Comparison of numerical Strouhal numbers with experiments for varying Reynolds numbers. -For the lower Reynolds numbers, the Strouhal number seems to be more sensitive to the geometry, mesh and settings and the Strouhal number is under predicted for $$St<80$$. +We get a pretty good agreement compared to the experimentally measured values. ### Final notes diff --git a/tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman_Re.png b/tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman_Re.png index 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@@ -32,7 +32,6 @@ - Inc_Species_Transport_Composition_Dependent_Model - Inc_Von_Karman - Inc_Turbulent_Bend - - Inc_Laminar_Von_Karman - title: Structural Mechanics tutorials: From 0590df7c522a214b9df65fa7303b03695be62d16 Mon Sep 17 00:00:00 2001 From: bigfooted <bigfootedrockmidget@hotmail.com> Date: Tue, 25 Feb 2025 07:53:53 +0100 Subject: [PATCH 7/8] fix link --- _tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md index f335f339..5731c6ee 100644 --- a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md +++ b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md @@ -28,7 +28,7 @@ In this tutorial we will simulate the laminar but unsteady vortex shedding behin ## Resources -The resources for this tutorial can be found in the [incompressible_flow/Inc_Von_Karman](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman) directory in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the configuration file ([sudo.cfg](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman/vonkarman.cfg)) and the mesh file ([sudo_coarse.su2](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman/cylinder.su2)). Additionally, the Gmsh geometry is also provided so you can recreate the mesh yourself: [sudo_coarse.geo](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman/cylinder.geo). +The resources for this tutorial can be found in the [incompressible_flow/Inc_Von_Karman](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman_Cylinder) directory in the [tutorial repository](https://github.com/su2code/Tutorials). You will need the configuration file ([unsteady_incomp_cylinder.cfg](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman_Cylinder/unsteady_incomp_cylinder.cfg)) and the mesh file ([cylinder_wake.su2](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman_cylinder/cylinder_wake.su2)). Additionally, the Gmsh geometry is also provided so you can recreate the mesh yourself: [cylinder_wake.geo](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman_Cylinder/cylinder_wake.geo). ### Background From 83ea12a315271e0dfe4beddb90047c4f14bc4ecf Mon Sep 17 00:00:00 2001 From: bigfooted <bigfootedrockmidget@hotmail.com> Date: Fri, 7 Mar 2025 23:05:10 +0100 Subject: [PATCH 8/8] update videos and paraview files --- .../Inc_Von_Karman/Inc_Von_Karman.md | 14 ++++++++++++-- .../images/unsteady_cylinder_arrow.gif | Bin 0 -> 10958742 bytes .../images/unsteady_cylinder_arrow.mp4 | Bin 0 -> 873576 bytes 3 files changed, 12 insertions(+), 2 deletions(-) create mode 100644 tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder_arrow.gif create mode 100644 tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder_arrow.mp4 diff --git a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md index 5731c6ee..7cf450b8 100644 --- a/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md +++ b/_tutorials/incompressible_flow/Inc_Von_Karman/Inc_Von_Karman.md @@ -105,7 +105,14 @@ If possible, always use a parallel setup to reduce computational time (wall cloc ![particles_streamlines](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/particles.png) Figure (3): Developed von Karman street with injected particles. -The figure above shows the von Karman vortices. The colored vorticity gradients are created in the wake immediately behind the cylinder, and transported downstream. In paraview, we inject particles and let them be transported downstream over streamlines. We can clearly see that the particles are not mixed homogeneously but are being transported in batches of red and green particles moving with their corresponding vortices. +The figure above shows the von Karman vortices. A movie of the von Karman Vortex shedding as shown in this tutorial can be made using the paraview statefile here: [statefile_with_particles.pvsm](https://github.com/su2code/Tutorials/tree/master/incompressible_flow/Inc_Von_Karman_Cylinder/statefile_with_particles.pvsm). The colored vorticity gradients are created in the wake immediately behind the cylinder, and transported downstream. In paraview, we inject particles and let them be transported downstream over streamlines. We can clearly see that the particles are not mixed homogeneously but are being transported in batches of red and green particles moving with their corresponding vortices. + + +![von_karman_street_arrow](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder_arrow.gif) + +A link to a high quality video can be found [here](https://github.com/su2code/su2code.github.io/tree/master/tutorials_files/incompressible_flow/Inc_Von_Karman/images/unsteady_cylinder_arrow.mp4). + +The forces on the cylinder can also be visualized, see the above movie. We see the unsteady velocity magnitude, and on the cylinder surface we visualize the local force as the local pressure normal to the surface. For this we need to extract the surface data only and then compute the surface normal using a programmable filter. We can then visualize the glyph distribution. The total lift force is the integrated vertical component, whose size can be visualize as a colored arrow of a size proportional to the lift force using another programmable filter. Below the image we visualize the lift force in time using the PlotSelectionOverTime feature. ![validation](../../../tutorials_files/incompressible_flow/Inc_Von_Karman/images/strouhal_cylinder_karman.png) @@ -194,4 +201,7 @@ We get a pretty good agreement compared to the experimentally measured values. ### Final notes -The paraview statefile to create the movie can be found here: [paraview_vonkarman.pvsm](https://github.com/su2code/Tutorials/blob/master/incompressible_flow/Inc_Von_Karman/paraview_vonkarman.pvsm) +The paraview statefile to create the movie can be found here: [statefile_with_particles.pvsm](https://github.com/su2code/Tutorials/blob/master/incompressible_flow/Inc_Von_Karman/statefile_with_particles.pvsm) +and here: +[statefile_movablearrow_timeseries.pvsm](https://github.com/su2code/Tutorials/blob/master/incompressible_flow/Inc_Von_Karman/statefile_movablearrow_timeseries.pvsm) +Note that you have to select your own, local files when you load the statefile. \ No newline at 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