finite_element_method 0.9.12

A finite element method module.
Documentation 
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#![allow(unused_imports)]

use crate::fem::{DOFParameter, ElementForceComponent, FEM};

#[test]
fn test_integration_direct() -> Result<(), String> {
    const REL_TOL: f32 = 1e-4;
    const ABS_TOL: f32 = 1e-12;

    let mut model = FEM::create(REL_TOL, ABS_TOL, 2);

    model.add_node(1, 0.0, 0.0, 0.0)?;
    model.add_node(2, 30.0, 0.0, 0.0)?;

    model.add_truss(1, 1, 2, 1e6, 2.0, None)?;

    model.add_displacement(1, DOFParameter::X, 0.0)?;

    model.add_concentrated_load(2, DOFParameter::X, 100.0)?;

    let separated_stiffness_matrix = model.separate_stiffness_matrix_direct()?;
    let r_a_vector = model.compose_r_a_vector(separated_stiffness_matrix.get_k_aa_indexes())?;
    let u_b_vector = model.compose_u_b_vector(separated_stiffness_matrix.get_k_bb_indexes())?;

    let u_a_vector =
        model.find_ua_vector_direct(&separated_stiffness_matrix, &r_a_vector, &u_b_vector)?;
    let r_r_vector =
        model.find_r_r_vector(&separated_stiffness_matrix, &u_a_vector, &u_b_vector)?;

    model.compose_global_analysis_result(
        separated_stiffness_matrix.get_k_aa_indexes(),
        separated_stiffness_matrix.get_k_bb_indexes(),
        &u_a_vector,
        &r_r_vector,
    )?;

    let mut global_analysis_result = model.extract_global_analysis_result()?;

    global_analysis_result.sort_by(|(n_1, dof_1, _, _), (n_2, dof_2, _, _)| {
        (n_1, dof_1).partial_cmp(&(n_2, dof_2)).unwrap()
    });
    let global_analysis_result_expected = vec![
        (1, DOFParameter::X, 0.0, -100.0),
        (1, DOFParameter::Y, 0.0, 0.0),
        (1, DOFParameter::Z, 0.0, 0.0),
        (1, DOFParameter::ThX, 0.0, 0.0),
        (1, DOFParameter::ThY, 0.0, 0.0),
        (1, DOFParameter::ThZ, 0.0, 0.0),
        (2, DOFParameter::X, 0.0014999999, 100.0),
        (2, DOFParameter::Y, 0.0, 0.0),
        (2, DOFParameter::Z, 0.0, 0.0),
        (2, DOFParameter::ThX, 0.0, 0.0),
        (2, DOFParameter::ThY, 0.0, 0.0),
        (2, DOFParameter::ThZ, 0.0, 0.0),
    ];

    let elements_analysis_result = model.extract_elements_analysis_result()?;
    let elements_analysis_result_expected = vec![(1, vec![(ElementForceComponent::ForceR, 100.0)])];

    assert_eq!(global_analysis_result, global_analysis_result_expected);
    assert_eq!(elements_analysis_result, elements_analysis_result_expected);

    Ok(())
}

#[test]
fn test_sparse_separation_truss_has_kaa() -> Result<(), String> {
    let mut model = FEM::create(1e-4_f32, 1e-12_f32, 2);

    model.add_node(1, 0.0, 0.0, 0.0)?;
    model.add_node(2, 30.0, 0.0, 0.0)?;
    model.add_truss(1, 1, 2, 1e6, 2.0, None)?;
    model.add_displacement(1, DOFParameter::X, 0.0)?;
    model.add_concentrated_load(2, DOFParameter::X, 100.0)?;

    let sep = model.separate_stiffness_matrix_sparse_iterative()?;
    assert!(sep.get_n_aa() > 0);
    assert!(!sep.get_k_aa_triplets().is_empty());

    Ok(())
}

#[test]
fn test_integration_iterative_pcg_jacobi_sparse() -> Result<(), String> {
    const REL_TOL: f32 = 1e-4;
    const ABS_TOL: f32 = 1e-12;

    let mut model = FEM::create(REL_TOL, ABS_TOL, 2);

    model.add_node(1, 0.0, 0.0, 0.0)?;
    model.add_node(2, 30.0, 0.0, 0.0)?;

    model.add_truss(1, 1, 2, 1e6, 2.0, None)?;

    model.add_displacement(1, DOFParameter::X, 0.0)?;

    model.add_concentrated_load(2, DOFParameter::X, 100.0)?;

    let separated_stiffness_matrix_sparse = model.separate_stiffness_matrix_sparse_iterative()?;
    let r_a_vector =
        model.compose_r_a_vector(separated_stiffness_matrix_sparse.get_k_aa_indexes())?;
    let u_b_vector =
        model.compose_u_b_vector(separated_stiffness_matrix_sparse.get_k_bb_indexes())?;

    let (u_a_vector, iterations) = model.find_ua_vector_iterative_pcg_jacobi_sparse(
        &separated_stiffness_matrix_sparse,
        &r_a_vector,
        &u_b_vector,
        1000,
    )?;

    let r_r_vector = model.find_r_r_vector_sparse(
        &separated_stiffness_matrix_sparse,
        &u_a_vector,
        &u_b_vector,
    )?;

    model.compose_global_analysis_result(
        separated_stiffness_matrix_sparse.get_k_aa_indexes(),
        separated_stiffness_matrix_sparse.get_k_bb_indexes(),
        &u_a_vector,
        &r_r_vector,
    )?;

    let mut global_analysis_result = model.extract_global_analysis_result()?;

    global_analysis_result.sort_by(|(n_1, dof_1, _, _), (n_2, dof_2, _, _)| {
        (n_1, dof_1).partial_cmp(&(n_2, dof_2)).unwrap()
    });
    let global_analysis_result_expected = vec![
        (1, DOFParameter::X, 0.0, -100.0),
        (1, DOFParameter::Y, 0.0, 0.0),
        (1, DOFParameter::Z, 0.0, 0.0),
        (1, DOFParameter::ThX, 0.0, 0.0),
        (1, DOFParameter::ThY, 0.0, 0.0),
        (1, DOFParameter::ThZ, 0.0, 0.0),
        (2, DOFParameter::X, 0.0014999999, 100.0),
        (2, DOFParameter::Y, 0.0, 0.0),
        (2, DOFParameter::Z, 0.0, 0.0),
        (2, DOFParameter::ThX, 0.0, 0.0),
        (2, DOFParameter::ThY, 0.0, 0.0),
        (2, DOFParameter::ThZ, 0.0, 0.0),
    ];

    let elements_analysis_result = model.extract_elements_analysis_result()?;
    let elements_analysis_result_expected = vec![(1, vec![(ElementForceComponent::ForceR, 100.0)])];

    assert_eq!(global_analysis_result, global_analysis_result_expected);
    assert_eq!(elements_analysis_result, elements_analysis_result_expected);
    assert_eq!(iterations, 1);

    Ok(())
}

#[test]
fn test_integration_iterative_pcg_block_jacobi_sparse() -> Result<(), String> {
    const REL_TOL: f32 = 1e-4;
    const ABS_TOL: f32 = 1e-12;

    let mut model = FEM::create(REL_TOL, ABS_TOL, 2);

    model.add_node(1, 0.0, 0.0, 0.0)?;
    model.add_node(2, 30.0, 0.0, 0.0)?;

    model.add_truss(1, 1, 2, 1e6, 2.0, None)?;

    model.add_displacement(1, DOFParameter::X, 0.0)?;

    model.add_concentrated_load(2, DOFParameter::X, 100.0)?;

    let separated_stiffness_matrix_sparse = model.separate_stiffness_matrix_sparse_iterative()?;
    let r_a_vector =
        model.compose_r_a_vector(separated_stiffness_matrix_sparse.get_k_aa_indexes())?;
    let u_b_vector =
        model.compose_u_b_vector(separated_stiffness_matrix_sparse.get_k_bb_indexes())?;

    let (u_a_vector, iterations) = model.find_ua_vector_iterative_pcg_block_jacobi_sparse(
        &separated_stiffness_matrix_sparse,
        &r_a_vector,
        &u_b_vector,
        1000,
    )?;

    let r_r_vector = model.find_r_r_vector_sparse(
        &separated_stiffness_matrix_sparse,
        &u_a_vector,
        &u_b_vector,
    )?;

    model.compose_global_analysis_result(
        separated_stiffness_matrix_sparse.get_k_aa_indexes(),
        separated_stiffness_matrix_sparse.get_k_bb_indexes(),
        &u_a_vector,
        &r_r_vector,
    )?;

    let mut global_analysis_result = model.extract_global_analysis_result()?;

    global_analysis_result.sort_by(|(n_1, dof_1, _, _), (n_2, dof_2, _, _)| {
        (n_1, dof_1).partial_cmp(&(n_2, dof_2)).unwrap()
    });
    let global_analysis_result_expected = vec![
        (1, DOFParameter::X, 0.0, -100.0),
        (1, DOFParameter::Y, 0.0, 0.0),
        (1, DOFParameter::Z, 0.0, 0.0),
        (1, DOFParameter::ThX, 0.0, 0.0),
        (1, DOFParameter::ThY, 0.0, 0.0),
        (1, DOFParameter::ThZ, 0.0, 0.0),
        (2, DOFParameter::X, 0.0014999999, 100.0),
        (2, DOFParameter::Y, 0.0, 0.0),
        (2, DOFParameter::Z, 0.0, 0.0),
        (2, DOFParameter::ThX, 0.0, 0.0),
        (2, DOFParameter::ThY, 0.0, 0.0),
        (2, DOFParameter::ThZ, 0.0, 0.0),
    ];

    let elements_analysis_result = model.extract_elements_analysis_result()?;
    let elements_analysis_result_expected = vec![(1, vec![(ElementForceComponent::ForceR, 100.0)])];

    assert_eq!(global_analysis_result, global_analysis_result_expected);
    assert_eq!(elements_analysis_result, elements_analysis_result_expected);
    assert_eq!(iterations, 1);

    Ok(())
}