mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-09-23 02:59:52 +00:00
feat(topology): Add Tetrahedron 3D topology with Tet4/Tet10 aliases
New file implementing 3D tetrahedral topology: - Tetrahedron struct with dim=3, 4 corner nodes (3D simplex) - reference_coordinates() at (0,0,0), (1,0,0), (0,1,0), (0,0,1) - edges() returns 6 edges, faces() returns 4 triangular faces - Backward compatibility aliases: Tet4 (linear), Tet10 (quadratic) - Zero-allocation tuple-based design
This commit is contained in:
@@ -0,0 +1,156 @@
|
||||
# This file is a part of JuliaFEM.
|
||||
# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE
|
||||
|
||||
"""
|
||||
Tetrahedron <: AbstractTopology
|
||||
|
||||
Tetrahedral element topology (3D simplex).
|
||||
|
||||
**Important:** This type defines ONLY the geometric shape. Node count is determined
|
||||
by the interpolation scheme (basis functions):
|
||||
- `Lagrange{Tetrahedron, 1}` → 4 nodes (P1, linear)
|
||||
- `Lagrange{Tetrahedron, 2}` → 10 nodes (P2, quadratic)
|
||||
- `Lagrange{Tetrahedron, 3}` → 20 nodes (P3, cubic)
|
||||
|
||||
# Reference Element
|
||||
```
|
||||
N4
|
||||
/|\\
|
||||
/ | \\
|
||||
/ | \\
|
||||
/ | \\
|
||||
N1---+----N3
|
||||
\\ /
|
||||
\\/
|
||||
N2
|
||||
```
|
||||
|
||||
# Standard Corner Node Positions
|
||||
1. (0, 0, 0) - Origin
|
||||
2. (1, 0, 0) - Along ξ-axis
|
||||
3. (0, 1, 0) - Along η-axis
|
||||
4. (0, 0, 1) - Along ζ-axis
|
||||
|
||||
# Topology Properties
|
||||
- Dimension: 3
|
||||
- Corner nodes: 4
|
||||
- Edges: 6
|
||||
- Faces: 4 (triangular)
|
||||
|
||||
# Typical Usage
|
||||
```julia
|
||||
julia> topology = Tetrahedron()
|
||||
julia> dim(topology)
|
||||
3
|
||||
julia> reference_coordinates(topology) # Corner nodes only
|
||||
((0.0, 0.0, 0.0), (1.0, 0.0, 0.0), (0.0, 1.0, 0.0), (0.0, 0.0, 1.0))
|
||||
|
||||
julia> basis = Lagrange{Tetrahedron, 1}()
|
||||
julia> nnodes(basis) # Linear: 4 nodes
|
||||
4
|
||||
|
||||
julia> basis = Lagrange{Tetrahedron, 2}()
|
||||
julia> nnodes(basis) # Quadratic: 10 nodes (corners + edge midpoints)
|
||||
10
|
||||
```
|
||||
|
||||
**Zero allocation:** All functions return compile-time sized tuples.
|
||||
|
||||
See also: [`AbstractTopology`](@ref), [`Hexahedron`](@ref), [`Lagrange`](@ref)
|
||||
"""
|
||||
struct Tetrahedron <: AbstractTopology end
|
||||
|
||||
dim(::Tetrahedron) = 3
|
||||
|
||||
"""
|
||||
reference_coordinates(::Tetrahedron)
|
||||
|
||||
Get corner node positions for Tetrahedron (4 vertices in parametric space).
|
||||
"""
|
||||
function reference_coordinates(::Tetrahedron)
|
||||
return (
|
||||
(0.0, 0.0, 0.0), # Node 1: Origin
|
||||
(1.0, 0.0, 0.0), # Node 2: Along ξ-axis
|
||||
(0.0, 1.0, 0.0), # Node 3: Along η-axis
|
||||
(0.0, 0.0, 1.0), # Node 4: Along ζ-axis
|
||||
)
|
||||
end
|
||||
|
||||
"""
|
||||
edges(::Tetrahedron)
|
||||
|
||||
Edge connectivity for tetrahedron (corner nodes).
|
||||
"""
|
||||
function edges(::Tetrahedron)
|
||||
return (
|
||||
(1, 2), # Edge 1
|
||||
(2, 3), # Edge 2
|
||||
(3, 1), # Edge 3
|
||||
(1, 4), # Edge 4
|
||||
(2, 4), # Edge 5
|
||||
(3, 4), # Edge 6
|
||||
)
|
||||
end
|
||||
|
||||
"""
|
||||
faces(::Tetrahedron)
|
||||
|
||||
Face connectivity for tetrahedron (triangular faces, corner nodes).
|
||||
"""
|
||||
function faces(::Tetrahedron)
|
||||
return (
|
||||
(1, 3, 2), # Face 1: Base (looking from above)
|
||||
(1, 2, 4), # Face 2
|
||||
(2, 3, 4), # Face 3
|
||||
(3, 1, 4), # Face 4
|
||||
)
|
||||
end
|
||||
|
||||
# ============================================================================
|
||||
# Deprecated aliases (for backwards compatibility)
|
||||
# ============================================================================
|
||||
|
||||
"""
|
||||
Tet4
|
||||
|
||||
**DEPRECATED:** Backward compatibility alias. Use `Tetrahedron` with `Lagrange{Tetrahedron, 1}`.
|
||||
|
||||
The old `Tet4` conflated topology (tetrahedron) with node count (4).
|
||||
In the new architecture:
|
||||
- Topology defines geometric shape only
|
||||
- Basis functions determine node count
|
||||
|
||||
This alias allows old code to work:
|
||||
```julia
|
||||
# Old style (still works)
|
||||
element = Element(Tet4, (1, 2, 3, 4))
|
||||
# Internally converted to:
|
||||
element = Element(Tetrahedron, (1, 2, 3, 4)) # Infers Lagrange{Tetrahedron, 1}
|
||||
```
|
||||
|
||||
New code should use explicit topology + basis:
|
||||
```julia
|
||||
element = Element(Lagrange{Tetrahedron, 1}, (1, 2, 3, 4))
|
||||
```
|
||||
"""
|
||||
const Tet4 = Tetrahedron
|
||||
|
||||
"""
|
||||
Tet10
|
||||
|
||||
**DEPRECATED:** Backward compatibility alias. Use `Tetrahedron` with `Lagrange{Tetrahedron, 2}`.
|
||||
|
||||
This alias allows old code to work:
|
||||
```julia
|
||||
# Old style (still works)
|
||||
element = Element(Tet10, (1, 2, 3, 4, 5, 6, 7, 8, 9, 10))
|
||||
# Internally converted to:
|
||||
element = Element(Tetrahedron, (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)) # Infers Lagrange{Tetrahedron, 2}
|
||||
```
|
||||
|
||||
New code should use explicit topology + basis:
|
||||
```julia
|
||||
element = Element(Lagrange{Tetrahedron, 2}, (1, 2, 3, 4, 5, 6, 7, 8, 9, 10))
|
||||
```
|
||||
"""
|
||||
const Tet10 = Tetrahedron # Same topology! Node count from basis.
|
||||
Reference in New Issue
Block a user