use std::sync::Arc;
use crate::fields::boundary::bc::BoundaryCondition;
use crate::fields::surface_field::SurfaceScalarField;
use crate::fields::vol_field::VolVectorField;
use crate::ldu_matrix::fv_vector_matrix::FvVectorMatrix;
use crate::mesh::fv_mesh::FvMesh;
pub fn div_vec(phi: &SurfaceScalarField, u: &VolVectorField, mesh: Arc<FvMesh>) -> FvVectorMatrix {
let mut mat = FvVectorMatrix::new(mesh.clone());
for f in 0..mesh.n_internal_faces {
let o = mesh.owner[f];
let nb = mesh.neighbour[f];
let phi_f = phi.internal[f];
mat.ldu.diag[o] += phi_f.max(0.0);
mat.ldu.upper[f] += phi_f.min(0.0);
mat.ldu.diag[nb] -= phi_f.min(0.0);
mat.ldu.lower[f] -= phi_f.max(0.0);
}
for (pi, patch) in mesh.patches.iter().enumerate() {
for fi in 0..patch.size {
let owner = mesh.owner[patch.start + fi];
let phi_f = phi.boundary[pi].values[fi];
match u.boundary[pi].bc {
BoundaryCondition::FixedValue(ref _v) => {
let u_bc = u.boundary[pi].values[fi];
mat.source[owner] = mat.source[owner] - u_bc * phi_f;
}
BoundaryCondition::ZeroGradient => {
mat.ldu.diag[owner] += phi_f;
}
_ => {}
}
}
}
let _ = u;
mat
}
#[cfg(test)]
mod tests {
use super::*;
use crate::fields::boundary::bc::{BoundaryCondition, PatchField};
use crate::fields::field::Field;
use crate::fields::surface_field::SurfaceScalarField;
use crate::mesh::fv_mesh::{BoundaryPatch, FvMeshBuilder, PatchKind};
use crate::primitives::Vector3;
fn two_cell_mesh() -> Arc<FvMesh> {
Arc::new(
FvMeshBuilder::new()
.n_cells(2)
.n_internal_faces(1)
.owner(vec![0, 1, 0])
.neighbour(vec![1])
.patches(vec![
BoundaryPatch::new("right", 1, 1, PatchKind::Wall),
BoundaryPatch::new("left", 2, 1, PatchKind::Wall),
])
.cell_volumes(vec![1.0, 1.0])
.cell_centres(vec![
Vector3::new(0.25, 0.0, 0.0),
Vector3::new(0.75, 0.0, 0.0),
])
.face_area_vectors(vec![
Vector3::new(1.0, 0.0, 0.0),
Vector3::new(1.0, 0.0, 0.0),
Vector3::new(-1.0, 0.0, 0.0),
])
.face_centres(vec![
Vector3::new(0.5, 0.0, 0.0),
Vector3::new(1.0, 0.0, 0.0),
Vector3::new(0.0, 0.0, 0.0),
])
.build()
.unwrap(),
)
}
#[test]
fn zero_flux_gives_zero_matrix() {
let m = two_cell_mesh();
let u = VolVectorField::uniform("U", m.clone(), Vector3::new(1.0, 0.0, 0.0));
let phi_bnd: Vec<_> = m
.patches
.iter()
.map(|p| PatchField {
bc: BoundaryCondition::ZeroGradient,
values: Field::uniform(p.size, 0.0),
})
.collect();
let phi = SurfaceScalarField::new("phi", m.clone(), Field::uniform(1, 0.0), phi_bnd);
let mat = div_vec(&phi, &u, m);
assert!(mat.ldu.diag.iter().all(|&d| d == 0.0));
assert!(mat.ldu.upper.iter().all(|&d| d == 0.0));
}
}