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Add resis. conv test to diffusion one
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,209 @@ | ||
| # ======================================================================================== | ||
| # AthenaPK - a performance portable block structured AMR MHD code | ||
| # Copyright (c) 2023, Athena Parthenon Collaboration. All rights reserved. | ||
| # Licensed under the 3-clause BSD License, see LICENSE file for details | ||
| # ======================================================================================== | ||
|
|
||
| # Modules | ||
| import math | ||
| import numpy as np | ||
| import matplotlib | ||
|
|
||
| matplotlib.use("agg") | ||
| import matplotlib.pylab as plt | ||
| import sys | ||
| import os | ||
| import itertools | ||
| import utils.test_case | ||
| from scipy.optimize import curve_fit | ||
|
|
||
| # To prevent littering up imported folders with .pyc files or __pycache_ folder | ||
| sys.dont_write_bytecode = True | ||
|
|
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| diff_cfgs = ["visc", "ohm"] | ||
| int_cfgs = ["unsplit", "rkl2"] | ||
| res_cfgs = [256, 512, 1024] | ||
| tlim = 2.0 | ||
| nu = 0.25 | ||
|
|
||
| all_cfgs = list(itertools.product(diff_cfgs, res_cfgs, int_cfgs)) | ||
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|
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| def get_outname(all_cfg): | ||
| diff, res, int_cfg = all_cfg | ||
| return f"{diff}_{res}_{int_cfg}" | ||
|
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|
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| class TestCase(utils.test_case.TestCaseAbs): | ||
| def Prepare(self, parameters, step): | ||
| assert parameters.num_ranks <= 4, "Use <= 4 ranks for diffusion test." | ||
|
|
||
| diff, res, int_cfg = all_cfgs[step - 1] | ||
|
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| outname = get_outname(all_cfgs[step - 1]) | ||
|
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| if diff == "visc": | ||
| fluid_ = "euler" | ||
| iprob_ = 30 | ||
| viscosity_ = "isotropic" | ||
| resistivity_ = "none" | ||
| elif diff == "ohm": | ||
| fluid_ = "glmmhd" | ||
| iprob_ = 40 | ||
| viscosity_ = "none" | ||
| resistivity_ = "isotropic" | ||
|
|
||
| parameters.driver_cmd_line_args = [ | ||
| "parthenon/mesh/nx1=%d" % res, | ||
| "parthenon/meshblock/nx1=64", | ||
| "parthenon/mesh/x1min=-6.0", | ||
| "parthenon/mesh/x1max=6.0", | ||
| "parthenon/mesh/ix1_bc=outflow", | ||
| "parthenon/mesh/ox1_bc=outflow", | ||
| "parthenon/mesh/nx2=1", | ||
| "parthenon/meshblock/nx2=1", | ||
| "parthenon/mesh/x2min=-1.0", | ||
| "parthenon/mesh/x2max=1.0", | ||
| "parthenon/mesh/nx3=1", | ||
| "parthenon/meshblock/nx3=1", | ||
| f"parthenon/output0/id={outname}", | ||
| f"parthenon/time/tlim={tlim}", | ||
| f"hydro/fluid={fluid_}", | ||
| "hydro/gamma=1.4", | ||
| "hydro/cfl=0.8", | ||
| "hydro/integrator=rk2", | ||
| f"problem/diffusion/iprob={iprob_}", | ||
| f"problem/diffusion/Bx=0.0", | ||
| f"problem/diffusion/By=0.0", | ||
| "diffusion/conduction=none", | ||
| f"diffusion/viscosity={viscosity_}", | ||
| f"diffusion/resistivity={resistivity_}", | ||
| # we can set both as their activity is controlled separately | ||
| f"diffusion/mom_diff_coeff_code={nu}", | ||
| f"diffusion/ohm_diff_coeff_code={nu}", | ||
| f"diffusion/integrator={int_cfg}", | ||
| ] | ||
|
|
||
| return parameters | ||
|
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||
| def Analyse(self, parameters): | ||
| sys.path.insert( | ||
| 1, | ||
| parameters.parthenon_path | ||
| + "/scripts/python/packages/parthenon_tools/parthenon_tools", | ||
| ) | ||
|
|
||
| try: | ||
| import phdf | ||
| except ModuleNotFoundError: | ||
| print("Couldn't find module to read Parthenon hdf5 files.") | ||
| return False | ||
|
|
||
| tests_passed = True | ||
|
|
||
| def get_ref(x): | ||
| return ( | ||
| 1e-6 | ||
| / np.sqrt(4.0 * np.pi * nu * (0.5 + tlim)) | ||
| * np.exp(-(x**2.0) / (4.0 * nu * (0.5 + tlim))) | ||
| ) | ||
|
|
||
| num_diff = len(diff_cfgs) | ||
| for idx_diff in range(num_diff): | ||
| num_rows = len(res_cfgs) | ||
| num_cols = len(int_cfgs) | ||
| fig, p = plt.subplots(num_rows + 1, 2, sharey="row", sharex="row") | ||
|
|
||
| l1_err = np.zeros((len(int_cfgs), len(res_cfgs))) | ||
| for step in range(len(all_cfgs)): | ||
| diff, res, int_cfg = all_cfgs[step] | ||
| # only plot results for this diffusion process | ||
| if idx_diff != diff_cfgs.index(diff): | ||
| continue | ||
| outname = get_outname(all_cfgs[step]) | ||
| data_filename = ( | ||
| f"{parameters.output_path}/parthenon.{outname}.final.phdf" | ||
| ) | ||
| data_file = phdf.phdf(data_filename) | ||
| prim = data_file.Get("prim") | ||
| zz, yy, xx = data_file.GetVolumeLocations() | ||
| mask = yy == yy[0] | ||
| if diff == "visc": | ||
| varidx = 2 # m_y component | ||
| elif diff == "ohm": | ||
| varidx = 6 # B_y component | ||
| else: | ||
| print("Unknon diffusion type to process test results!") | ||
| return False | ||
|
|
||
| v2 = prim[varidx][mask] | ||
| x = xx[mask] | ||
| row = res_cfgs.index(res) | ||
| col = int_cfgs.index(int_cfg) | ||
|
|
||
| v2_ref = get_ref(x) | ||
| l1 = np.average(np.abs(v2 - v2_ref)) | ||
| l1_err[ | ||
| int_cfgs.index(int_cfg), | ||
| res_cfgs.index(res), | ||
| ] = l1 | ||
| p[row, col].plot(x, v2, label=f"N={res} L$_1$={l1:.2g}") | ||
|
|
||
| # Plot convergence | ||
| for j, int_cfg in enumerate(int_cfgs): | ||
| p[0, j].set_title(f"Integrator: {int_cfg}") | ||
|
|
||
| p[-1, j].plot( | ||
| res_cfgs, | ||
| l1_err[j, :], | ||
| label=f"data", | ||
| ) | ||
|
|
||
| # Simple convergence estimator | ||
| conv_model = lambda log_n, log_a, conv_rate: conv_rate * log_n + log_a | ||
| popt, pconv = curve_fit( | ||
| conv_model, np.log(res_cfgs), np.log(l1_err[j, :]) | ||
| ) | ||
| conv_a, conv_measured = popt | ||
| # Note that the RKL2 convergence on the plots is currently significantly better | ||
| # than expected (<-3) though the L1 errors themself are larger than the unsplit | ||
| # integrator (as expected). | ||
| # For a more reasonable test (which would take longer), reduce the RKL2 ratio to, | ||
| # say, 200 and extend the resolution grid to 1024 (as the first data point at N=128 | ||
| # is comparatively worse than at N>128). | ||
| if conv_measured > -1.98: | ||
| print( | ||
| f"!!!\nConvergence for test with {int_cfg} integrator " | ||
| f"is worse ({conv_measured}) than expected (-1.98).\n!!!" | ||
| ) | ||
| tests_passed = False | ||
| p[-1, j].plot( | ||
| res_cfgs, | ||
| np.exp(conv_a) * res_cfgs**conv_measured, | ||
| ":", | ||
| lw=0.75, | ||
| label=f"Measured conv: {conv_measured:.2f}", | ||
| ) | ||
|
|
||
| p[-1, 0].set_xscale("log") | ||
| p[-1, 0].set_yscale("log") | ||
| p[-1, 0].legend(fontsize=6) | ||
| p[-1, 1].legend(fontsize=6) | ||
|
|
||
| # Plot reference lines | ||
| x = np.linspace(-6, 6, 400) | ||
| for i in range(num_rows): | ||
| for j in range(num_cols): | ||
| y = get_ref(x) | ||
| p[i, j].plot(x, y, "-", lw=0.5, color="black", alpha=0.8) | ||
| p[i, j].grid() | ||
| p[i, j].legend(fontsize=6) | ||
|
|
||
| fig.tight_layout() | ||
| fig.savefig( | ||
| os.path.join(parameters.output_path, f"{diff_cfgs[idx_diff]}.png"), | ||
| bbox_inches="tight", | ||
| dpi=300, | ||
| ) | ||
|
|
||
| return tests_passed |
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