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https://github.com/JuliaFEM/JuliaFEM.jl.git
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72 lines
2.3 KiB
Julia
72 lines
2.3 KiB
Julia
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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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# test SimpleSolver
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using FactCheck
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using JuliaFEM: DirichletProblem, Seg2, PlaneHeatProblem, Quad4, SimpleSolver, get_element, get_basis
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""" Define Problem 1:
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- Field function: Laplace equation Δu=0 in Ω={u∈R²|(x,y)∈[0,1]×[0,1]}
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- Neumann boundary on Γ₁={0<=x<=1, y=0}, ∂u/∂n=600 on Γ₁
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"""
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function get_heatproblem()
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el1 = Quad4([1, 2, 3, 4])
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# these might look like normal values but believe me, they
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# are fields with temporal and spatial dimension
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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["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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# yet another simplification, if field is given as a tuple,
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# multiple fields are created. there is 1 second time step between
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# each field. So the following is basically same as
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# fieldset = FieldSet("temperature flux")
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# field1 = Field(0.0, 0.0)
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# field2 = Field(1.0, 600.0)
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# push!(fieldset, field1)
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# push!(fieldset, field2)
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# element["temperature flux"] = fieldset
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el2["temperature flux"] = (0.0, 600.0)
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problem1 = PlaneHeatProblem()
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push!(problem1, el1)
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push!(problem1, el2)
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return problem1
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end
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""" Define Problem 2:
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- Dirichlet boundary Γ₂={0<=x<=1, y=1}, u=0 on Γ₂
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"""
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function get_boundaryproblem()
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el3 = Seg2([3, 4])
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el3["geometry"] = Vector[[1.0, 1.0], [0.0, 1.0]]
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problem2 = DirichletProblem(1)
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push!(problem2, el3)
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return problem2
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end
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facts("test simplesolver") do
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problem1 = get_heatproblem()
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problem2 = get_boundaryproblem()
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# Create a solver for a set of problems
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solver = SimpleSolver()
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push!(solver, problem1)
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push!(solver, problem2)
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# Solve problem at time t=1.0 and update fields
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call(solver, 1.0)
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# Postprocess.
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# Interpolate temperature field along boundary of Γ₁ at time t=1.0
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xi = [0.0, -1.0]
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el2 = get_element(problem1.equations[2])
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basis = get_basis(el2)
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X = basis("geometry", xi, 1.0)
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T = basis("temperature", xi, 1.0)
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Logging.info("Temperature at point X = $X is T = $T")
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@fact T --> roughly(100.0)
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end
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