pumapy.physics_models.finite_element¶

pumapy.physics_models.finite_element.fe_conductivity¶

The following FE numerical method and implementation are based on the following research paper:

Pedro C. F. Lopes, Rafael S. Vianna, Victor W. Sapucaia, Federico Semeraro, Ricardo Leiderman, Andre M. B. Pereira, 2022. Simulation Toolkit for Digital Material Characterization of Large Image-based Microstructures.

class pumapy.physics_models.finite_element.fe_conductivity.ConductivityFE(workspace, cond_map, direction, tolerance, maxiter, solver_type, display_iter, matrix_free)[source]¶

Bases: pumapy.physics_models.utils.linear_solvers.PropertySolver

assemble_Amatrix()[source]¶

compute()[source]¶

compute_effective_coefficient()[source]¶

compute_element_conductivity(cond, k, BC, B, ind, onlyB)[source]¶

compute_rhs()[source]¶

create_element_matrices(onlyB)[source]¶

create_k(ks)[source]¶

error_check()[source]¶

initialize()[source]¶

log_input()[source]¶

log_output()[source]¶

orient_k(ks, e)[source]¶

pumapy.physics_models.finite_element.fe_elasticity¶

The following FE numerical method and implementation are based on the following research paper:

Pedro C. F. Lopes, Rafael S. Vianna, Victor W. Sapucaia, Federico Semeraro, Ricardo Leiderman, Andre M. B. Pereira, 2022. Simulation Toolkit for Digital Material Characterization of Large Image-based Microstructures.

class pumapy.physics_models.finite_element.fe_elasticity.ElasticityFE(workspace, elast_map, direction, tolerance, maxiter, solver_type, display_iter, matrix_free)[source]¶

Bases: pumapy.physics_models.utils.linear_solvers.PropertySolver

assemble_Amatrix()[source]¶

compute()[source]¶

compute_effective_coefficient()[source]¶

compute_element_stiffness(C, k, BC, B, ind, onlyB)[source]¶

compute_rhs()[source]¶

create_C(cs)[source]¶

create_element_matrices(onlyB)[source]¶

error_check()[source]¶

initialize()[source]¶

log_input()[source]¶

log_output()[source]¶

orient_C(cs, e)[source]¶

pumapy.physics_models.finite_element.fe_permeability¶

The following FE numerical method and implementation are based on the following research paper:

Pedro C. F. Lopes, Rafael S. Vianna, Victor W. Sapucaia, Federico Semeraro, Ricardo Leiderman, Andre M. B. Pereira, 2022. Simulation Toolkit for Digital Material Characterization of Large Image-based Microstructures.

class pumapy.physics_models.finite_element.fe_permeability.Permeability(workspace, solid_cutoff, direction, tolerance, maxiter, solver_type, display_iter, matrix_free, preconditioner, output_fields)[source]¶

Bases: pumapy.physics_models.utils.linear_solvers.PropertySolver

assemble_Amatrix()[source]¶

assemble_bvector(direction)[source]¶

compute()[source]¶

compute_effective_coefficient(d)[source]¶

create_element_matrices()[source]¶

error_check()[source]¶

generate_mf_inds_and_preconditioner()[source]¶

initialize()[source]¶

log_input()[source]¶

log_output()[source]¶

reconstruct_velocity()[source]¶

solve()[source]¶