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test(mesh): add structured mesh generation test
New 292-line test file for structured mesh generation: - Tests unit cube mesh creation (single and multiple elements) - Tests structured box mesh with custom dimensions - Tests uniform spacing verification - Tests cantilever and thin plate mesh generation - Tests anisotropic mesh (fine in one direction, coarse in others) - Tests connectivity validation - Tests integration with refinement - Tests convergence study pattern Comprehensive test suite for structured mesh generation utilities.
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Jukka Aho
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# This file is a part of JuliaFEM.
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# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
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using Test
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using JuliaFEM
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using Tensors
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@testset "Structured mesh generation" begin
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@testset "Unit cube - single element" begin
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mesh = create_unit_cube_mesh(Hex8)
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# Should have 8 nodes (corners of unit cube)
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@test nnodes_total(mesh) == 8
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# Should have 1 element
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@test nelements(mesh) == 1
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# Check corner coordinates (in IJK storage order: i fastest, then j, then k)
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@test mesh.nodes[1] ≈ Vec(0.0, 0.0, 0.0) # i=1, j=1, k=1
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@test mesh.nodes[2] ≈ Vec(1.0, 0.0, 0.0) # i=2, j=1, k=1
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@test mesh.nodes[3] ≈ Vec(0.0, 1.0, 0.0) # i=1, j=2, k=1
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@test mesh.nodes[4] ≈ Vec(1.0, 1.0, 0.0) # i=2, j=2, k=1
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@test mesh.nodes[5] ≈ Vec(0.0, 0.0, 1.0) # i=1, j=1, k=2
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@test mesh.nodes[6] ≈ Vec(1.0, 0.0, 1.0) # i=2, j=1, k=2
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@test mesh.nodes[7] ≈ Vec(0.0, 1.0, 1.0) # i=1, j=2, k=2
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@test mesh.nodes[8] ≈ Vec(1.0, 1.0, 1.0) # i=2, j=2, k=2
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# Check connectivity
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@test length(mesh.connectivity[1]) == 8
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# Check element sets
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@test haskey(mesh.element_sets, :all)
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@test length(mesh.element_sets[:all]) == 1
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# Check node sets exist
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@test haskey(mesh.node_sets, :all)
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@test haskey(mesh.node_sets, :xmin)
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@test haskey(mesh.node_sets, :xmax)
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@test haskey(mesh.node_sets, :ymin)
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@test haskey(mesh.node_sets, :ymax)
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@test haskey(mesh.node_sets, :zmin)
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@test haskey(mesh.node_sets, :zmax)
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println("Unit cube (1 element): OK")
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end
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@testset "Unit cube - 2×2×2 elements" begin
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mesh = create_unit_cube_mesh(Hex8, nx=2, ny=2, nz=2)
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# Should have (2+1)³ = 27 nodes
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@test nnodes_total(mesh) == 27
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# Should have 2³ = 8 elements
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@test nelements(mesh) == 8
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# Check that all elements have 8 nodes
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for conn in mesh.connectivity
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@test length(conn) == 8
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end
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# Check boundary node sets
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xmin_nodes = mesh.node_sets[:xmin]
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@test length(xmin_nodes) == 9 # 3×3 face
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# All xmin nodes should have x ≈ 0.0
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for node_id in xmin_nodes
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@test mesh.nodes[node_id][1] ≈ 0.0
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end
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# All xmax nodes should have x ≈ 1.0
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xmax_nodes = mesh.node_sets[:xmax]
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@test length(xmax_nodes) == 9
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for node_id in xmax_nodes
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@test mesh.nodes[node_id][1] ≈ 1.0
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end
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println("Unit cube (2³ elements): OK")
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end
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@testset "Structured box - custom dimensions" begin
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# Create 10×2×2 box
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mesh = create_structured_box_mesh(Hex8,
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xmin=0.0, xmax=10.0, nx=5,
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ymin=0.0, ymax=2.0, ny=2,
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zmin=0.0, zmax=2.0, nz=2)
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# Should have (5+1)×(2+1)×(2+1) = 6×3×3 = 54 nodes
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@test nnodes_total(mesh) == 54
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# Should have 5×2×2 = 20 elements
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@test nelements(mesh) == 20
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# Check domain bounds
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all_x = [node[1] for node in mesh.nodes]
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all_y = [node[2] for node in mesh.nodes]
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all_z = [node[3] for node in mesh.nodes]
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@test minimum(all_x) ≈ 0.0
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@test maximum(all_x) ≈ 10.0
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@test minimum(all_y) ≈ 0.0
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@test maximum(all_y) ≈ 2.0
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@test minimum(all_z) ≈ 0.0
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@test maximum(all_z) ≈ 2.0
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println("Structured box (custom dimensions): OK")
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end
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@testset "Structured box - uniform spacing" begin
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# Create mesh with known spacing
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mesh = create_structured_box_mesh(Hex8,
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xmin=0.0, xmax=4.0, nx=4,
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ymin=0.0, ymax=3.0, ny=3,
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zmin=0.0, zmax=2.0, nz=2)
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# Check uniform spacing
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# X spacing should be 1.0
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x_coords = sort(unique([node[1] for node in mesh.nodes]))
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@test length(x_coords) == 5
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for i in 2:length(x_coords)
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@test x_coords[i] - x_coords[i-1] ≈ 1.0
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end
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# Y spacing should be 1.0
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y_coords = sort(unique([node[2] for node in mesh.nodes]))
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@test length(y_coords) == 4
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for i in 2:length(y_coords)
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@test y_coords[i] - y_coords[i-1] ≈ 1.0
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end
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# Z spacing should be 1.0
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z_coords = sort(unique([node[3] for node in mesh.nodes]))
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@test length(z_coords) == 3
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for i in 2:length(z_coords)
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@test z_coords[i] - z_coords[i-1] ≈ 1.0
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end
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println("Uniform spacing verification: OK")
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end
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@testset "Cantilever mesh" begin
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mesh = create_cantilever_mesh(Hex8,
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length=10.0, width=2.0, height=2.0,
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nx=10, ny=2, nz=2)
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# Should have (10+1)×(2+1)×(2+1) = 11×3×3 = 99 nodes
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@test nnodes_total(mesh) == 99
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# Should have 10×2×2 = 40 elements
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@test nelements(mesh) == 40
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# Check dimensions
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all_x = [node[1] for node in mesh.nodes]
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all_y = [node[2] for node in mesh.nodes]
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all_z = [node[3] for node in mesh.nodes]
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@test maximum(all_x) - minimum(all_x) ≈ 10.0
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@test maximum(all_y) - minimum(all_y) ≈ 2.0
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@test maximum(all_z) - minimum(all_z) ≈ 2.0
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# Boundary node sets should exist
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@test haskey(mesh.node_sets, :xmin) # Fixed end
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@test haskey(mesh.node_sets, :xmax) # Free end
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# Fixed end should have 3×3 = 9 nodes
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@test length(mesh.node_sets[:xmin]) == 9
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println("Cantilever mesh: OK")
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end
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@testset "Thin plate mesh" begin
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mesh = create_thin_plate_mesh(Hex8,
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length=10.0, width=10.0, thickness=0.1,
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nx=5, ny=5, nz=1)
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# Should have (5+1)×(5+1)×(1+1) = 6×6×2 = 72 nodes
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@test nnodes_total(mesh) == 72
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# Should have 5×5×1 = 25 elements
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@test nelements(mesh) == 25
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# Check thickness
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all_z = [node[3] for node in mesh.nodes]
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@test maximum(all_z) - minimum(all_z) ≈ 0.1
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# Top and bottom surfaces
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@test haskey(mesh.node_sets, :zmin)
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@test haskey(mesh.node_sets, :zmax)
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# Each surface should have 6×6 = 36 nodes
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@test length(mesh.node_sets[:zmin]) == 36
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@test length(mesh.node_sets[:zmax]) == 36
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println("Thin plate mesh: OK")
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end
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@testset "Anisotropic mesh" begin
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# Fine in X, coarse in Y and Z
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mesh = create_structured_box_mesh(Hex8,
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xmin=0.0, xmax=10.0, nx=20,
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ymin=0.0, ymax=1.0, ny=2,
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zmin=0.0, zmax=1.0, nz=2)
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# Should have (20+1)×(2+1)×(2+1) = 21×3×3 = 189 nodes
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@test nnodes_total(mesh) == 189
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# Should have 20×2×2 = 80 elements
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@test nelements(mesh) == 80
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# X should have finer spacing than Y and Z
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x_coords = sort(unique([node[1] for node in mesh.nodes]))
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y_coords = sort(unique([node[2] for node in mesh.nodes]))
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z_coords = sort(unique([node[3] for node in mesh.nodes]))
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x_spacing = x_coords[2] - x_coords[1]
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y_spacing = y_coords[2] - y_coords[1]
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z_spacing = z_coords[2] - z_coords[1]
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@test x_spacing ≈ 0.5
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@test y_spacing ≈ 0.5
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@test z_spacing ≈ 0.5
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@test length(x_coords) == 21 # Fine
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@test length(y_coords) == 3 # Coarse
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@test length(z_coords) == 3 # Coarse
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println("Anisotropic mesh: OK")
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end
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@testset "Connectivity validation" begin
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mesh = create_unit_cube_mesh(Hex8, nx=2, ny=2, nz=2)
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# Every element should have 8 unique nodes
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for (elem_id, conn) in enumerate(mesh.connectivity)
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@test length(conn) == 8
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@test length(unique(conn)) == 8 # All nodes unique
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# All node indices should be valid
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for node_id in conn
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@test 1 ≤ node_id ≤ nnodes_total(mesh)
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end
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end
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# Check that mesh validation passes
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@test validate(mesh) == true
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println("Connectivity validation: OK")
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end
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@testset "Integration with refinement" begin
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# Create coarse mesh, then refine
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coarse = create_cantilever_mesh(Hex8,
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length=10.0, width=2.0, height=2.0,
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nx=2, ny=1, nz=1)
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@test nelements(coarse) == 2
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# Refine 2 levels
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refined = refine(coarse, LongestEdgeBisection(2))
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# Should have more elements
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@test nelements(refined) > nelements(coarse)
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@test nelements(refined) == 8 # 2 → 4 → 8
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println("Integration with refinement: OK")
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end
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@testset "Convergence study pattern" begin
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# Simulate typical convergence study
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results = []
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for n in [1, 2, 4, 8]
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mesh = create_unit_cube_mesh(Hex8, nx=n, ny=n, nz=n)
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n_elem = nelements(mesh)
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n_nodes = nnodes_total(mesh)
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n_dofs = 3 * n_nodes
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push!(results, (n=n, elements=n_elem, nodes=n_nodes, dofs=n_dofs))
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end
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# Check that refinement increases mesh size correctly
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@test results[1].elements == 1 # 1³
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@test results[2].elements == 8 # 2³
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@test results[3].elements == 64 # 4³
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@test results[4].elements == 512 # 8³
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println("Convergence study pattern:")
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for r in results
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println(" n=$(r.n): $(r.elements) elements, $(r.nodes) nodes, $(r.dofs) DOFs")
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end
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end
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end
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