├── .flake8 ├── .gitattributes ├── .gitignore ├── .gitlab-ci.yml ├── .isort.cfg ├── AUTHORS.txt ├── CHANGELOG.md ├── CONTRIBUTING.md ├── COPYING.txt ├── MANIFEST.in ├── README.md ├── binder ├── apt.txt ├── environment.yml └── start ├── conftest.py ├── doc ├── conf.py ├── img │ ├── Boundary.pdf │ ├── Boundary.svg │ ├── arch_lbmpy.svg │ ├── boundary_lists.svg │ ├── boundary_nosliplist.png │ ├── boundary_ubblist.png │ ├── channel_with_dimensions.svg │ ├── collision.svg │ ├── collision_space.svg │ ├── cumulant_relaxation.svg │ ├── feature_optimization_overview.odp │ ├── feature_optimization_overview.pdf │ ├── feature_optimization_overview.svg │ ├── input_geometry │ │ ├── container_scenario.svg │ │ └── wing.png │ ├── logo.png │ ├── logo.svg │ ├── logo_no_text.png │ ├── mb_discretization │ │ ├── maxwell_boltzmann_stencil_plot.py │ │ └── mb.png │ ├── moment_shift.svg │ └── stream_pull │ │ ├── lbm_01.png │ │ ├── lbm_02.png │ │ ├── lbm_03.png │ │ ├── lbm_04.png │ │ └── lbm_05.png ├── index.rst ├── notebooks │ ├── 00_tutorial_lbmpy_walberla_overview.ipynb │ ├── 01_tutorial_predefinedScenarios.ipynb │ ├── 02_tutorial_boundary_setup.ipynb │ ├── 03_tutorial_lbm_formulation.ipynb │ ├── 04_tutorial_cumulant_LBM.ipynb │ ├── 05_tutorial_nondimensionalization_and_scaling.ipynb │ ├── 06_tutorial_modifying_method_smagorinsky.ipynb │ ├── 07_tutorial_thermal_lbm.ipynb │ ├── 08_tutorial_shanchen_twophase.ipynb │ ├── 09_tutorial_shanchen_twocomponent.ipynb │ ├── 10_tutorial_conservative_allen_cahn_two_phase.ipynb │ ├── 11_tutorial_Non_Newtonian_Flow.ipynb │ ├── 12_Thermocapillary_flows_heated_channel.ipynb │ ├── 13_Thermocapillary_flows_droplet_motion.ipynb │ ├── demo_automatic_chapman_enskog_analysis.ipynb │ ├── demo_create_method_from_scratch.ipynb │ ├── demo_interpolation_boundary_conditions.ipynb │ ├── demo_moments_cumulants_and_maxwellian_equilibrium.ipynb │ ├── demo_shallow_water_lbm.ipynb │ ├── demo_stencils.ipynb │ ├── demo_streaming_patterns.ipynb │ ├── demo_theoretical_background_generic_equilibrium_construction.ipynb │ └── demo_thermalized_lbm.ipynb └── sphinx │ ├── api.rst │ ├── boundary_conditions.rst │ ├── continuous_distribution_measures.rst │ ├── cumulants.rst │ ├── enums.rst │ ├── equilibrium.rst │ ├── forcemodels.rst │ ├── kernelcreation.rst │ ├── lbmpy.bib │ ├── maxwellian_equilibrium.rst │ ├── methods.rst │ ├── moment_transforms.rst │ ├── moments.rst │ ├── scenarios.rst │ ├── stencils.rst │ ├── tutorials.rst │ └── zbibliography.rst ├── pyproject.toml ├── pytest.ini ├── quicktest.py ├── setup.py ├── src └── lbmpy │ ├── __init__.py │ ├── _version.py │ ├── advanced_streaming │ ├── __init__.py │ ├── communication.py │ ├── indexing.py │ └── utility.py │ ├── analytical_solutions.py │ ├── boundaries │ ├── __init__.py │ ├── boundaries_in_kernel.py │ ├── boundaryconditions.py │ ├── boundaryhandling.py │ └── wall_function_models.py │ ├── chapman_enskog │ ├── __init__.py │ ├── chapman_enskog.py │ ├── chapman_enskog_higher_order.py │ ├── chapman_enskog_steady_state.py │ └── derivative.py │ ├── continuous_distribution_measures.py │ ├── creationfunctions.py │ ├── cumulants.py │ ├── custom_code_nodes.py │ ├── db.py │ ├── enums.py │ ├── equilibrium │ ├── __init__.py │ ├── abstract_equilibrium.py │ ├── continuous_hydro_maxwellian.py │ ├── discrete_hydro_maxwellian.py │ └── generic_discrete_equilibrium.py │ ├── fieldaccess.py │ ├── flow_statistics.py │ ├── fluctuatinglb.py │ ├── forcemodels.py │ ├── geometry.py │ ├── innerloopsplit.py │ ├── lbstep.py │ ├── macroscopic_value_kernels.py │ ├── max_domain_size_info.py │ ├── maxwellian_equilibrium.py │ ├── methods │ ├── __init__.py │ ├── abstractlbmethod.py │ ├── conservedquantitycomputation.py │ ├── creationfunctions.py │ ├── cumulantbased │ │ ├── __init__.py │ │ ├── cumulant_simplifications.py │ │ ├── cumulantbasedmethod.py │ │ ├── fourth_order_correction.py │ │ └── galilean_correction.py │ ├── default_moment_sets.py │ └── momentbased │ │ ├── __init__.py │ │ ├── centralmomentbasedmethod.py │ │ ├── entropic.py │ │ ├── momentbasedmethod.py │ │ └── momentbasedsimplifications.py │ ├── moment_transforms │ ├── __init__.py │ ├── abstractmomenttransform.py │ ├── centralmomenttransforms.py │ ├── cumulanttransforms.py │ └── rawmomenttransforms.py │ ├── moments.py │ ├── non_newtonian_models.py │ ├── oldroydb.py │ ├── parameterization.py │ ├── partially_saturated_cells.py │ ├── phasefield │ ├── __init__.py │ ├── analytical.py │ ├── cahn_hilliard_lbm.py │ ├── contact_angle_circle_fitting.py │ ├── eos.py │ ├── experiments1D.py │ ├── experiments2D.py │ ├── fd_stencils.py │ ├── high_density_ratio_model.py │ ├── kerneleqs.py │ ├── n_phase_boyer.py │ ├── nphase_nestler.py │ ├── phasefieldstep.py │ ├── phasefieldstep_direct.py │ ├── post_processing.py │ ├── scenarios.py │ ├── simplex_projection.c │ ├── simplex_projection.cpython-311-darwin.so │ ├── simplex_projection.cpython-39-darwin.so │ └── simplex_projection.pyx │ ├── phasefield_allen_cahn │ ├── __init__.py │ ├── analytical.py │ ├── contact_angle.py │ ├── derivatives.py │ ├── kernel_equations.py │ ├── numerical_solver.py │ └── parameter_calculation.py │ ├── plot.py │ ├── postprocessing.py │ ├── quadratic_equilibrium_construction.py │ ├── relaxationrates.py │ ├── scenarios.py │ ├── session.py │ ├── simplificationfactory.py │ ├── sparse │ ├── __init__.py │ ├── mapping.py │ └── update_rule_sparse.py │ ├── stencils.py │ ├── turbulence_models.py │ ├── updatekernels.py │ └── utils.py └── tests ├── __init__.py ├── advanced_setups └── Lees_Edwards_boundary_conditions.ipynb ├── advanced_streaming ├── test_advanced_streaming_noslip.py ├── test_communication.py ├── test_fully_periodic_flow.py └── test_periodic_pipe_with_force.py ├── benchmark ├── benchmark_evaluation.ipynb ├── db │ └── config.json ├── evaluation.py ├── i10staff14_benchmark └── test_benchmark.py ├── cumulantmethod ├── test_equilibrium.py ├── test_flow_around_sphere.py └── test_periodic_pipe_flow.ipynb ├── full_scenarios ├── kida_vortex_flow │ ├── Evaluation.ipynb │ └── scenario_kida_vortex_flow.py ├── phasefield_allen_cahn │ ├── phasefield-capillary-wave.ipynb │ └── phasefield-gravity-wave.ipynb ├── rod │ └── scenario_rod.py ├── schaefer_turek │ └── scenario_schaefer_turek.py ├── shear_wave │ ├── Equilibrium Construction - ReducedStencils.ipynb │ ├── Evaluation.ipynb │ └── scenario_shear_wave.py └── square_channel │ └── scenario_square_channel.py ├── lattice_tensors.py ├── phasefield ├── test_analytical_3phase_model.ipynb ├── test_analytical_n_phase.ipynb ├── test_analytical_n_phase_full.ipynb ├── test_analytical_paper_comparison.ipynb ├── test_entropic_model.ipynb ├── test_eos.py ├── test_force_computation_equivalence.py ├── test_liquid_lens_angles.ipynb ├── test_n_phase_boyer_analytical.ipynb ├── test_n_phase_boyer_noncoupled.ipynb ├── test_n_phase_paper_boyer_lbm.ipynb ├── test_n_phase_penaltyterm_model.ipynb ├── test_nestler_model.py ├── test_nphase_1D.py ├── test_nphase_2D.py ├── test_numerical_1D_3phase_model.ipynb ├── test_numerical_1D_nphase_model.ipynb ├── test_phase_field_scenarios.py ├── test_phasefield.py ├── test_phasefieldstep_direct.ipynb └── test_phasefieldstep_direct_boyer.ipynb ├── phasefield_allen_cahn ├── test_analytical.py ├── test_contact_angle.py ├── test_phase_field_derivatives.ipynb └── test_runge_kutta_solver.py ├── poiseuille.py ├── reference_files ├── ForceDrivenChannel_guo_compressible.npz ├── ForceDrivenChannel_guo_incompressible.npz ├── ForceDrivenChannel_luo_compressible.npz ├── ForceDrivenChannel_luo_incompressible.npz ├── ForceDrivenChannel_simple_compressible.npz ├── ForceDrivenChannel_simple_incompressible.npz ├── LidDrivenCavity_MRT_incompressible.npz ├── LidDrivenCavity_SRT_guo_compressible.npz ├── LidDrivenCavity_SRT_guo_incompressible.npz ├── LidDrivenCavity_SRT_luo_compressible.npz ├── LidDrivenCavity_SRT_luo_incompressible.npz ├── LidDrivenCavity_SRT_simple_compressible.npz ├── LidDrivenCavity_SRT_simple_incompressible.npz ├── LidDrivenCavity_TRT_luo_compressible.npz └── LidDrivenCavity_TRT_luo_incompressible.npz ├── shan_chen ├── test_shan_chen_two_component.py └── test_shan_chen_two_phase.py ├── testImage.png ├── test_boundary_handling.py ├── test_builtin_periodicity.py ├── test_central_moment.py ├── test_central_moment_equivalences.py ├── test_central_moment_transform.py ├── test_chapman_enskog.py ├── test_compiled_in_boundaries.ipynb ├── test_conserved_quantity_relaxation_invariance.py ├── test_cpu_gpu_equivalence.py ├── test_cumulant_equivalences.py ├── test_cumulant_methods.py ├── test_cumulant_transform.py ├── test_cumulants.py ├── test_density_velocity_input.py ├── test_diffusion.py ├── test_entropic.py ├── test_esotwist_visualization.ipynb ├── test_extrapolation_outflow.py ├── test_field_access_pattern_visualization.ipynb ├── test_float_kernel.py ├── test_fluctuating_lb.py ├── test_force.py ├── test_force_on_boundary.py ├── test_free_slip.py ├── test_geometry_setup_serial.py ├── test_gpu_block_size_limiting.py ├── test_html_output.py ├── test_hydro_maxwellian_class.py ├── test_interpolation_boundaries.py ├── test_json_serializer.py ├── test_lbstep.py ├── test_lees_edwards.py ├── test_macroscopic_value_kernels.py ├── test_maxwellian_equilibrium.py ├── test_moment_transform_api.py ├── test_momentbased_equivalences.py ├── test_momentbased_methods_equilibrium.py ├── test_moments.py ├── test_mrt_simplifications.py ├── test_oldroydb.py ├── test_plot.py ├── test_poisuille_channel.py ├── test_postprocessing.py ├── test_psm.py ├── test_quicktests.py ├── test_relaxation_rate.py ├── test_scaling_widget.py ├── test_shear_flow.py ├── test_shifted_transforms.py ├── test_simple_equilibrium_conservation.py ├── test_smagorinsky.py ├── test_sparse_lbm.ipynb ├── test_split_optimization.py ├── test_srt_trt_simplifications.py ├── test_stencils.py ├── test_stokes_setup.ipynb ├── test_update_kernel.py ├── test_vectorization.py ├── test_version_string.py ├── 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