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43 lines
1.3 KiB
Julia
43 lines
1.3 KiB
Julia
# 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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module AssemblyTests
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using JuliaFEM.Test
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using JuliaFEM.Core: Quad4, Seg2, FieldSet, Field, HeatProblem
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using JuliaFEM.Core: Assembly, assemble!
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"""assemble a simple two element problem and solve"""
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function test_assembly()
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info("create elements")
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el1 = Quad4([1, 2, 3, 4])
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el1["geometry"] = Vector[[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 1.0]]
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el1["temperature thermal conductivity"] = 6.0
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el1["temperature load"] = 12.0
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el1["density"] = 36.0
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el2 = Seg2([1, 2])
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el2["geometry"] = Vector[[0.0, 0.0], [1.0, 0.0]]
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# Boundary load, linear ramp 0 -> 600 at time 0 -> 1
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el2["temperature flux"] = ((0.0 => 0.0), (1.0 => 600.0))
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info("element created")
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problem = HeatProblem()
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info("problem created. pushing elements")
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push!(problem, el1)
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push!(problem, el2)
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info("creating assembly from equations")
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assembly = Assembly()
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assemble!(assembly, problem, 1.0)
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info("solving")
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free_dofs = [1, 2]
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A = full(assembly.stiffness_matrix)[free_dofs, free_dofs]
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b = full(assembly.force_vector)[free_dofs]
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u = A \ b
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info("solution u=$u")
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@test isapprox(u, [101.0, 101.0])
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end
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end
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