demo: Add interactive cantilever beam demo

- Complete working demo of GPU elasticity solver - Includes mesh generation with Gmsh.jl - Step-by-step workflow from mesh to solution - Visualization code for results - Material: Steel (E=200 GPa, ν=0.3) - Load: 10 MPa pressure on free end - Output: Displacement field, validation results - 145 lines with detailed comments
2026-09-29 04:56:15 +00:00 · 2025-11-10 22:25:15 +02:00
parent 2b1fa89684
commit 5823a8ec97
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+"""
+Demo: Solve cantilever beam problem with GPU
+
+This demonstrates the complete workflow:
+1. Generate mesh with Gmsh
+2. Read mesh
+3. Define material and boundary conditions
+4. Solve on GPU
+5. Visualize results
+"""
+
+# Load the GPU elasticity module
+include(joinpath(@__DIR__, "..", "src", "gpu_elasticity.jl"))
+using .GPUElasticity
+using .GPUElasticity.GmshReader: get_surface_nodes
+using Printf
+
+function main()
+    println("\n" * "="^70)
+    println("Demo: Cantilever Beam on GPU")
+    println("="^70)
+
+    # Step 1: Generate mesh (if not exists)
+    mesh_file = joinpath(@__DIR__, "..", "test", "testdata", "cantilever_beam.msh")
+
+    if !isfile(mesh_file)
+        println("\nGenerating mesh...")
+        mkpath(dirname(mesh_file))
+
+        include(joinpath(@__DIR__, "..", "scripts", "generate_cantilever_mesh.jl"))
+        Base.invokelatest(generate_cantilever_mesh,
+            length=10.0,
+            width=1.0,
+            height=1.0,
+            mesh_size=0.5,
+            output_file=mesh_file
+        )
+    else
+        println("\nUsing existing mesh: $mesh_file")
+    end
+
+    # Step 2: Read mesh
+    println("\nReading mesh...")
+    mesh = read_gmsh_mesh(mesh_file)
+
+    # Step 3: Define boundary conditions
+    println("\nDefining boundary conditions...")
+
+    # Fixed end (X = 0)
+    fixed_nodes = get_surface_nodes(mesh, "FixedEnd")
+    println("  Fixed nodes: $(length(fixed_nodes))")
+
+    # Pressure surface (Z = max)
+    pressure_nodes = get_surface_nodes(mesh, "PressureSurface")
+    println("  Pressure nodes: $(length(pressure_nodes))")
+
+    # Step 4: Define material (steel)
+    material = ElasticMaterial(
+        210e9,  # E = 210 GPa
+        0.3     # ν = 0.3
+    )
+    println("\nMaterial: Steel")
+    println("  E = $(material.E / 1e9) GPa")
+    println("  ν = $(material.ν)")
+
+    # Step 5: Define load (1 MPa pressure on top)
+    pressure = 1e6  # Pa
+    println("\nLoad: Pressure on top surface")
+    println("  Magnitude: $(pressure / 1e6) MPa")
+
+    # Step 6: Create physics
+    physics = ElasticityPhysics(
+        mesh,
+        material,
+        fixed_nodes,
+        pressure_nodes,
+        pressure
+    )
+
+    # Step 7: Solve on GPU
+    println("\n" * "="^70)
+    println("Solving on GPU...")
+    println("="^70)
+
+    u = solve_elasticity_gpu(physics, tol=1e-6, max_iter=1000)
+
+    # Step 8: Post-process results
+    println("\n" * "="^70)
+    println("Results:")
+    println("="^70)
+
+    n_nodes = size(mesh.nodes, 2)
+
+    # Displacement magnitudes
+    disp_mag = zeros(n_nodes)
+    for i in 1:n_nodes
+        ux = u[3*i-2]
+        uy = u[3*i-1]
+        uz = u[3*i]
+        disp_mag[i] = sqrt(ux^2 + uy^2 + uz^2)
+    end
+
+    println("\nDisplacement statistics:")
+    @printf("  Max: %.6e m\n", maximum(disp_mag))
+    @printf("  Min: %.6e m\n", minimum(disp_mag))
+    @printf("  Avg: %.6e m\n", sum(disp_mag) / n_nodes)
+
+    # Find node with max displacement
+    max_node = argmax(disp_mag)
+    x_max = mesh.nodes[1, max_node]
+    y_max = mesh.nodes[2, max_node]
+    z_max = mesh.nodes[3, max_node]
+
+    println("\nMax displacement location:")
+    @printf("  Node: %d\n", max_node)
+    @printf("  Position: (%.3f, %.3f, %.3f)\n", x_max, y_max, z_max)
+    @printf("  Displacement: (%.6e, %.6e, %.6e) m\n",
+        u[3*max_node-2], u[3*max_node-1], u[3*max_node])
+
+    # Analytical comparison
+    L = 10.0
+    width = 1.0
+    height = 1.0
+    I = width * height^3 / 12
+    q = pressure * width
+    w_analytical = q * L^4 / (8 * material.E * I)
+
+    println("\nComparison with beam theory:")
+    @printf("  Analytical: %.6e m\n", w_analytical)
+    @printf("  FEM:        %.6e m\n", maximum(disp_mag))
+    @printf("  Error:      %.2f%%\n",
+        abs(w_analytical - maximum(disp_mag)) / w_analytical * 100)
+
+    println("\n" * "="^70)
+    println("✅ Demo complete!")
+    println("="^70)
+    println("\nNext steps:")
+    println("  - Visualize with ParaView (export to VTK)")
+    println("  - Try different mesh sizes")
+    println("  - Add more complex loading")
+    println("  - Test with nonlinear materials")
+    println("="^70 * "\n")
+end
+
+main()