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JuliaFEM.jl/test/test_elements.jl
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2015-11-30 23:00:21 +02:00

79 lines
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Julia

# This file is a part of JuliaFEM.
# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
module ElementTests
using JuliaFEM.Test
using JuliaFEM.Core: AbstractElement, Element, Field, FieldSet, test_element
import JuliaFEM.Core: get_basis, get_dbasis
import Base: size
""" Prototype element
This should always pass test_element if everything is ok.
"""
abstract TestElement <: AbstractElement
function get_basis(::Type{TestElement}, xi::Vector{Float64})
1/4*[
(1-xi[1])*(1-xi[2])
(1+xi[1])*(1-xi[2])
(1+xi[1])*(1+xi[2])
(1-xi[1])*(1+xi[2])]'
end
function get_dbasis(::Type{TestElement}, xi::Vector{Float64})
1/4*[
-(1-xi[2]) (1-xi[2]) (1+xi[2]) -(1+xi[2])
-(1-xi[1]) -(1+xi[1]) (1+xi[1]) (1-xi[1])]
end
function size(::Type{TestElement})
return (2, 4)
end
""" Return test element with some fields. """
function get_element()
el = Element{TestElement}([1, 2, 3, 4])
el["geometry"] = Vector{Float64}[[0.0,0.0], [1.0,0.0], [1.0,1.0], [0.0,1.0]]
el["temperature"] = (
0.0 => [0.0, 0.0, 0.0, 0.0],
1.0 => [1.0, 2.0, 3.0, 4.0])
el["displacement"] = (
0.0 => Vector{Float64}[[0.0,0.0], [0.0, 0.0], [0.0,0.0], [0.0,0.0]],
1.0 => Vector{Float64}[[0.0,0.0], [1.0,-1.0], [2.0,3.0], [0.0,0.0]])
return el
end
function test_mock_element()
test_element(TestElement)
end
function test_add_fields_to_element()
el = get_element()
info(el.fields)
end
function test_interpolate()
el = get_element()
@test isapprox(el("geometry", [0.0, 0.0]), [0.5, 0.5])
@test isapprox(el("geometry", [0.0, 0.0], 0.0), [0.5, 0.5])
@test isapprox(el([0.0, 0.0]), [0.25 0.25 0.25 0.25])
@test isapprox(el([0.0, 0.0], Val{:grad}), [-0.5 0.5 0.5 -0.5; -0.5 -0.5 0.5 0.5])
gradT = el("temperature", [0.0, 0.0], 1.0, Val{:grad})
info("gradT = $gradT")
X = [0.5, 0.5]
gradT_expected = [1-2*X[2] 3-2*X[1]]
info("gradT(expected) = $gradT_expected")
@test isapprox(gradT, gradT_expected)
# @test isapprox(el("temperature", [0.0, 0.0], 0.5), 1/2*gradT_expected)
# gradT = el("temperature", [0.0, 0.0], 0.5, Val{:grad})
# info("gradT = $gradT")
# @test isapprox(gradT, 1/2*gradT_expected)
end
end