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fem: pyramid5 element (solver, quality, decks, VTK)

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A five-node pyramid, the conforming transition between a hexahedron's face
and tetrahedra: Bedrosian's rational shape functions with a collapsed (Duffy)
Gauss rule, a certified Jacobian on the base square with exact volume, a
scaled Jacobian, C3D5 / CPYRAM / LS-DYNA degenerate solid, VTK_PYRAMID and
the binary mesh code 13. A distorted hex8-pyramid5-tet4 transition mesh
passes the patch test and uniaxial tension exactly.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
This commit is contained in:
jyvikoandClaude Opus 5.5 authored and Irakli Kourtis committed 2026-10-16 12:48:01 -04:00
1 parent 4e6fd59409
commit 3a5a8213a1
28 files changed
+325 -28
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crates/fem/src/finite.rs
+9 -3
View File
@@ -833,9 +833,15 @@ mod tests {
let x8: Vec<[f64; 3]> = x20[..8].to_vec();
let x6 = vec![[0., 0., 0.], [1., 0., 0.], [0., 1., 0.1], [0., 0., 1.], [1.1, 0., 1.], [0., 1., 1.2]];
let x4 = vec![x10[0], x10[1], x10[2], x10[3]];
for (kind, x) in
[(ElementKind::Tet4, &x4), (ElementKind::Tet10, &x10), (ElementKind::Wedge6, &x6), (ElementKind::Hex8, &x8), (ElementKind::Hex20, &x20)]
{
let x5 = vec![[0., 0., 0.], [1., 0., 0.1], [1.1, 1., 0.], [0., 1., 0.], [0.5, 0.4, 0.9]];
for (kind, x) in [
(ElementKind::Tet4, &x4),
(ElementKind::Tet10, &x10),
(ElementKind::Wedge6, &x6),
(ElementKind::Pyramid5, &x5),
(ElementKind::Hex8, &x8),
(ElementKind::Hex20, &x20),
] {
for m in [&svk, &neo] {
let solid = Solid::new(kind, x, Formulation::Full).unwrap();
check_tangent(&solid, m, &displacement(x.len(), 0.08));