Add new example for adjoint fluid flow with custom mesh deformation, fix CGNS issue with compiler flags

TestCases/parallel_regression_AD.py

@@ -377,9 +377,9 @@ def main():
     ################################################
     ### Gradient check (dot) for flamelet solver ###
     ################################################
-    
+
     # 2D planar laminar premixed flame on isothermal burner (restart)
-    # This test restarts on the output of test discadj_flamelet_ch4_hx and 
+    # This test restarts on the output of test discadj_flamelet_ch4_hx and
     # will only pass if test discadj_flamelet_ch4_hx passes.
     dot_flamelet_ch4_hx                  = TestCase('dot_flamelet_ch4_hx')
     dot_flamelet_ch4_hx.cfg_dir          = "flamelet/02_laminar_premixed_ch4_flame_hx_ad"
@@ -395,7 +395,7 @@ def main():
     test_list.append(dot_flamelet_ch4_hx)
 
     # 2D planar laminar premixed flame on isothermal burner with conjugate heat transfer (restart)
-    # This test restarts on the output of test discadj_flamelet_ch4_cht and 
+    # This test restarts on the output of test discadj_flamelet_ch4_cht and
     # will only pass if test discadj_flamelet_ch4_cht passes.
     dot_flamelet_ch4_cht                  = TestCase('dot_flamelet_ch4_cht')
     dot_flamelet_ch4_cht.cfg_dir          = "flamelet/04_laminar_premixed_ch4_flame_cht_ad"
@@ -518,6 +518,19 @@ def main():
     test_list.append(pywrapper_CFD_AD_MeshDisp)
     pass_list.append(pywrapper_CFD_AD_MeshDisp.run_test())
 
+    # Flow AD Mesh Displacement and Initial Coordinates Sensitivity
+    pywrapper_wavy_wall_steady = TestCase('pywrapper_wavy_wall_steady')
+    pywrapper_wavy_wall_steady.cfg_dir = "py_wrapper/wavy_wall"
+    pywrapper_wavy_wall_steady.cfg_file = "run_steady.py"
+    pywrapper_wavy_wall_steady.test_iter = 100
+    pywrapper_wavy_wall_steady.test_vals = [-1.360044, 2.580709, -2.892473]
+    pywrapper_wavy_wall_steady.command = TestCase.Command("mpirun -n 2", "python", "run_steady.py")
+    pywrapper_wavy_wall_steady.timeout = 1600
+    pywrapper_wavy_wall_steady.tol = 0.00001
+    pywrapper_wavy_wall_steady.new_output = False
+    test_list.append(pywrapper_wavy_wall_steady)
+    pass_list.append(pywrapper_wavy_wall_steady.run_test())
+
     ####################################################################
     ###  Unsteady Disc. adj. compressible RANS restart optimization  ###
     ####################################################################

TestCases/py_wrapper/wavy_wall/run_steady.py

@@ -0,0 +1,315 @@
+#!/usr/bin/env python
+
+## \file run.py
+#  \brief Channel with wave-like motion on walls (steady state version).
+#  \version 7.5.1 "Blackbird"
+#
+# SU2 Project Website: https://su2code.github.io
+#
+# The SU2 Project is maintained by the SU2 Foundation
+# (http://su2foundation.org)
+#
+# Copyright 2012-2023, SU2 Contributors (cf. AUTHORS.md)
+#
+# SU2 is free software; you can redistribute it and/or
+# modify it under the terms of the GNU Lesser General Public
+# License as published by the Free Software Foundation; either
+# version 2.1 of the License, or (at your option) any later version.
+#
+# SU2 is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+# Lesser General Public License for more details.
+#
+# You should have received a copy of the GNU Lesser General Public
+# License along with SU2. If not, see <http://www.gnu.org/licenses/>.
+
+import pysu2ad as pysu2
+from mpi4py import MPI
+import numpy as np
+
+common_settings = """
+SOLVER= NAVIER_STOKES
+
+FLUID_MODEL= IDEAL_GAS
+GAMMA_VALUE= 1.4
+GAS_CONSTANT= 287.87
+
+MACH_NUMBER= 0.034
+INIT_OPTION= TD_CONDITIONS
+FREESTREAM_OPTION= TEMPERATURE_FS
+FREESTREAM_TEMPERATURE= 299.99
+FREESTREAM_PRESSURE= 98750
+REYNOLDS_NUMBER= 2000
+REYNOLDS_LENGTH= 0.055
+
+VISCOSITY_MODEL= CONSTANT_VISCOSITY
+MU_CONSTANT= 0.0005
+
+MARKER_HEATFLUX= ( y_minus, 0, y_plus, 0 )
+MARKER_INLET= ( x_minus, 300, 100000, 1, 0, 0 )
+MARKER_FAR= ( x_plus )
+
+MARKER_MONITORING= ( y_minus, y_plus )
+MARKER_PLOTTING= ( x_minus, x_plus, y_minus, y_plus )
+
+DEFORM_MESH= YES
+MARKER_DEFORM_MESH= ( y_minus, y_plus )
+DEFORM_CONSOLE_OUTPUT= YES
+DEFORM_LINEAR_SOLVER= CONJUGATE_GRADIENT
+DEFORM_LINEAR_SOLVER_PREC= ILU
+DEFORM_LINEAR_SOLVER_ERROR= 1e-12
+DEFORM_LINEAR_SOLVER_ITER= 1000
+DEFORM_STIFFNESS_TYPE= CONSTANT_STIFFNESS
+DEFORM_POISSONS_RATIO= 0.35
+
+CONV_NUM_METHOD_FLOW= ROE
+ENTROPY_FIX_COEFF= 1e-5
+MUSCL_FLOW= YES
+SLOPE_LIMITER_FLOW= NONE
+NUM_METHOD_GRAD= GREEN_GAUSS
+
+MESH_FORMAT= RECTANGLE
+MESH_BOX_SIZE= ( 193, 33, 0 )
+MESH_BOX_LENGTH= ( 0.75, __WIDTH__, 0 )
+
+CUSTOM_OUTPUTS= 'p_tot : Macro{PRESSURE + 0.5 * DENSITY * (pow(VELOCITY_X, 2) + pow(VELOCITY_Y, 2))};\
+                 p_in : MassFlowAvg{$p_tot}[x_minus];\
+                 p_out : MassFlowAvg{$p_tot}[x_plus];\
+                 p_drop : Function{p_out - p_in}'
+
+CUSTOM_OBJFUNC= 'p_drop'
+OBJECTIVE_FUNCTION= CUSTOM_OBJFUNC
+
+SOLUTION_FILENAME= restart.dat
+OUTPUT_FILES= RESTART, PARAVIEW_MULTIBLOCK
+OUTPUT_WRT_FREQ= 9999
+SCREEN_WRT_FREQ_INNER= 10
+
+INNER_ITER= 3000
+CONV_STARTITER= 10
+"""
+
+primal_settings = """
+MATH_PROBLEM= DIRECT
+RESTART_SOL= YES
+
+CFL_NUMBER= 1000
+LINEAR_SOLVER= FGMRES
+LINEAR_SOLVER_PREC= ILU
+LINEAR_SOLVER_ERROR= 0.1
+LINEAR_SOLVER_ITER= 20
+
+SCREEN_OUTPUT= INNER_ITER, RMS_RES, LINSOL, p_drop
+HISTORY_OUTPUT= ITER, RMS_RES, CUSTOM
+VOLUME_OUTPUT= PRIMITIVE, VORTEX_IDENTIFICATION
+
+CONV_RESIDUAL_MINVAL= -13
+CONV_FIELD= RMS_DENSITY
+"""
+
+adjoint_settings = """
+MATH_PROBLEM= DISCRETE_ADJOINT
+
+CFL_NUMBER= 1000
+DISCADJ_LIN_SOLVER= FGMRES
+DISCADJ_LIN_PREC= ILU
+LINEAR_SOLVER_ERROR= 0.001
+LINEAR_SOLVER_ITER= 20
+
+SCREEN_OUTPUT= INNER_ITER, RMS_RES, LINSOL
+HISTORY_OUTPUT= ITER, RMS_RES, SENSITIVITY
+
+QUASI_NEWTON_NUM_SAMPLES= 20
+
+CONV_RESIDUAL_MINVAL= -8
+CONV_FIELD= REL_RMS_ADJ_DENSITY
+"""
+
+
+def GetMarkerIds(driver):
+    """Get the ID of the markers where the deformation is applied."""
+    all_marker_ids = driver.GetMarkerIndices()
+    marker_names = ['y_minus', 'y_plus']
+    marker_ids = []
+    for name in marker_names:
+        marker_ids.append(all_marker_ids[name] if name in all_marker_ids else -1)
+    return marker_ids
+
+
+def RunPrimal(channel_width, deform_amplitude):
+    """
+    Runs the primal solver for a given amplitude of the deformation.
+    Returns the objective function.
+    """
+    comm = MPI.COMM_WORLD
+
+    with open('config.cfg', 'w') as f:
+        f.write(common_settings.replace('__WIDTH__', str(channel_width)) + primal_settings)
+
+    # Initialize the corresponding driver of SU2, this includes solver preprocessing.
+    try:
+        driver = pysu2.CSinglezoneDriver('config.cfg', 1, comm)
+    except TypeError as exception:
+        print('A TypeError occured in pysu2.CSinglezoneDriver : ', exception)
+        raise
+
+    marker_ids = GetMarkerIds(driver)
+
+    for marker_id in marker_ids:
+        Deformation(0, deform_amplitude, marker_id, driver)
+
+    driver.StartSolver()
+    avg_p_drop = driver.GetOutputValue('p_drop')
+
+    # Finalize the solver and exit cleanly
+    driver.Finalize()
+
+    return avg_p_drop
+
+
+def RunAdjoint(channel_width, deform_amplitude):
+    """
+    Runs the adjoint solver for a given amplitude of the deformation, and channel width.
+    Returns the sensitivity of the objective function to the amplitude and width.
+    """
+    comm = MPI.COMM_WORLD
+
+    with open('config_ad.cfg', 'w') as f:
+        f.write(common_settings.replace('__WIDTH__', str(channel_width)) + adjoint_settings)
+
+    # Initialize the corresponding driver of SU2, this includes solver preprocessing.
+    try:
+        driver = pysu2.CDiscAdjSinglezoneDriver('config_ad.cfg', 1, comm)
+    except TypeError as exception:
+        print('A TypeError occured in pysu2.CDiscAdjSinglezoneDriver : ', exception)
+        raise
+
+    marker_ids = GetMarkerIds(driver)
+
+    # Preprocess adjoint to load the primal solution.
+    driver.Preprocess(0)
+
+    # Check the surface deformation is the expected from loading the primal results.
+    for marker_id in marker_ids:
+        Deformation(0, deform_amplitude, marker_id, driver, True)
+
+    driver.Run()
+    driver.Postprocess()
+    driver.Update()
+
+    # Accumulate the sensitivity to the deformation amplitude.
+    sens = 0
+    for marker_id in marker_ids:
+        sens += SumSensitivity(0, marker_id, driver)
+
+    driver.Monitor(0)
+    driver.Output(0)
+
+    size_sens = 0.0
+    sensitivity = driver.Sensitivity(driver.GetSolverIndices()['ADJ.FLOW'])
+    coords = driver.InitialCoordinates()
+
+    for i_node in range(driver.GetNumberNodes() - driver.GetNumberHaloNodes()):
+        y = coords.Get(i_node, 1)
+        dy_dw = y / channel_width
+        size_sens += dy_dw * sensitivity(i_node, 1)
+
+    # Finalize the solver and exit cleanly
+    driver.Finalize()
+
+    return comm.allreduce(size_sens), comm.allreduce(sens)
+
+
+def Phase(t):
+    # 10 cycles per second
+    return 10 * 2 * np.pi * t
+
+
+def DeformationBottom(x, phase):
+    # Deformation between 0.1 and 0.4.
+    if x < 0.1 or x > 0.4:
+        return 0
+    t = (x - 0.1) / 0.3 * 2 * np.pi
+    ampl = (1 - np.cos(t)) / 2
+
+    # Shape parameter, makes the peaks narrower or wider.
+    N = 1
+
+    p = N * (t - phase)
+    denom = N * 2 * np.pi
+    n = round(p / denom)
+    p -= n * denom
+    wave = (1 - np.cos(min(max(0, p + np.pi), 2 * np.pi))) / 2
+
+    return ampl * wave
+
+
+def DeformationTop(x, phase):
+    # Top deforms downward with a phase shift.
+    return -DeformationBottom(x, phase + np.pi)
+
+
+def Deformation(t, amplitude, marker_id, driver, check = False):
+    """
+    Applies the deformation to the marker or checks that the current mesh
+    coordinates (loaded by the adjoint solver) match the expected for the time.
+    """
+    if marker_id < 0:
+        return
+    ini_coords = driver.MarkerInitialCoordinates(marker_id)
+    coords = driver.MarkerCoordinates(marker_id)
+    phase = Phase(t)
+
+    for i_vertex in range(ini_coords.Shape()[0]):
+        x, y = ini_coords.Get(i_vertex)
+        if (y > 1e-3):
+            dy = DeformationTop(x, phase)
+        else:
+            dy = DeformationBottom(x, phase)
+        if not check:
+            driver.SetMarkerCustomDisplacement(marker_id, i_vertex, (0.0, amplitude * dy))
+        else:
+            assert abs((coords(i_vertex, 1) - y) / amplitude - dy) < 1e-9
+
+
+def SumSensitivity(t, marker_id, driver):
+    """Integrates the sensitivity with respect to the amplitude of the deformation."""
+    if marker_id < 0:
+        return 0.0
+    ini_coords = driver.MarkerInitialCoordinates(marker_id)
+    phase = Phase(t)
+    sens = 0
+
+    for i_vertex in range(ini_coords.Shape()[0]):
+        i_point = driver.GetMarkerNode(marker_id, i_vertex)
+        if not driver.GetNodeDomain(i_point):
+            continue
+
+        x, y = ini_coords.Get(i_vertex)
+        if (y > 1e-3):
+            dy = DeformationTop(x, phase)
+        else:
+            dy = DeformationBottom(x, phase)
+        sens_x, sens_y = driver.GetMarkerDisplacementSensitivity(marker_id, i_vertex)
+        sens += sens_y * dy
+
+    return sens
+
+
+def main():
+    comm = MPI.COMM_WORLD
+    rank = comm.Get_rank()
+
+    p_drop = RunPrimal(0.055, 0.045)
+    w_sens, a_sens = RunAdjoint(0.055, 0.045)
+
+    # Print results for the regression script to check.
+    # The derivates were verified with finite difference steps of 5e-5.
+    if rank == 0:
+        print("\n------------------------------ Begin Solver -----------------------------\n")
+        print(100, 100, p_drop / 1000, w_sens / 100000, a_sens / 100000, '\n')
+
+
+if __name__ == '__main__':
+  main()