mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-09-12 06:22:00 +00:00
Jukka Aho
ca7e2904cf
* Fix deprecation warnings from tests * Refactor tests so that ´@testset` is usually called in master file `runtests.jl`, not inside test file. Later on we can convert tests to examples. * Syntax of tests now follow more closely syntax used currently in JuliaFEM. We have had earlier studies with different kind of syntaxes, now we have kind of explicit way to do things.
48 lines
1.5 KiB
Julia
48 lines
1.5 KiB
Julia
# This file is a part of JuliaFEM.
|
||
# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
|
||
|
||
using JuliaFEM, Test
|
||
|
||
# 2d poisson problem with known analytical solution
|
||
# from FENiCS tutorial, u(x,y) = 1 + x² + 2y² on [0x1]×[0,1]
|
||
# and u₀(x,y) = 1 + x² + 2y², f(x,y) = -6
|
||
|
||
mesh_file = @__DIR__()*"/testdata/primitives.med"
|
||
mesh = aster_read_mesh(mesh_file, "UNITSQUARE_6X4")
|
||
|
||
square = Problem(PlaneHeat, "unit square, 6x4 triangular mesh", 1)
|
||
square_elements = create_elements(mesh, "UNITSQUARE")
|
||
update!(square_elements, "thermal conductivity", 1.0)
|
||
update!(square_elements, "heat source", -6.0)
|
||
add_elements!(square, square_elements)
|
||
|
||
bc = Problem(Dirichlet, "u₀(x,y) = 1 + x² + 2y²", 1, "temperature")
|
||
bc_elements = create_elements(mesh, "FACE1", "FACE2", "FACE3", "FACE4")
|
||
function u0(element, ip, time)
|
||
x, y = element("geometry", ip, time)
|
||
return 1 + x^2 + 2*y^2
|
||
end
|
||
update!(bc_elements, "temperature 1", u0)
|
||
add_elements!(bc, bc_elements)
|
||
|
||
analysis = Analysis(Linear)
|
||
add_problems!(analysis, square, bc)
|
||
run!(analysis)
|
||
|
||
T_fem = Float64[]
|
||
T_acc = Float64[]
|
||
for (nid, Xi) in square("geometry", 0.0)
|
||
push!(T_fem, square("temperature", Xi, 0.0)[1])
|
||
push!(T_acc, 1.0 + Xi[1]^2 + 2*Xi[2]^2)
|
||
end
|
||
|
||
@test maximum(abs.(T_fem-T_acc)) < 1.0e-12
|
||
|
||
# gradient of field is
|
||
X = [0.5, 0.5]
|
||
gradT1 = [2*X[1] 4*X[2]]
|
||
gradT2 = square("temperature", X, 0.0, Val{:Grad})
|
||
@debug("gradT1 = $gradT1, gradT2 = $gradT2")
|
||
# [1.1666666666666625 1.5000000000000018] quite big difference ..?
|
||
@test isapprox(gradT1, gradT2; rtol=25.0e-2)
|