From a4e4347fece52fc5a4af5b3818836bac87953f90 Mon Sep 17 00:00:00 2001 From: Jukka Aho Date: Thu, 7 Jul 2016 18:04:09 +0300 Subject: [PATCH] more tests. fixed performace bug in creating elements from mesh --- src/JuliaFEM.jl | 6 ++- src/preprocess.jl | 11 ++---- src/preprocess_aster_reader.jl | 8 ++-- src/problems_contact_2d_autodiff.jl | 44 +++++++++++---------- test/test_contact_2d_finite_sliding.jl | 15 +++++++ test/test_elements_2.jl | 50 ++++++++++++++++++++++++ test/test_heat.jl | 2 +- test/test_heat_2.jl | 49 +++++++++++++++++++++++ test/test_heat_3.jl | 52 +++++++++++++++++++++++++ test/test_postprocess.jl | 52 +++++++++++++++++++++++++ test/test_preprocess_aster_reader.jl | 31 +++++++++------ test/testdata/primitives.hdf | Bin 537840 -> 2256801 bytes test/testdata/primitives.med | Bin 70524 -> 441216 bytes 13 files changed, 273 insertions(+), 47 deletions(-) create mode 100644 test/test_elements_2.jl create mode 100644 test/test_heat_2.jl create mode 100644 test/test_heat_3.jl create mode 100644 test/test_postprocess.jl diff --git a/src/JuliaFEM.jl b/src/JuliaFEM.jl index f33bd2c..3a9920a 100644 --- a/src/JuliaFEM.jl +++ b/src/JuliaFEM.jl @@ -6,6 +6,8 @@ This is JuliaFEM -- Finite Element Package """ module JuliaFEM +using Compat +import Compat.String importall Base include("fields.jl") @@ -15,10 +17,10 @@ export AbstractPoint, Point, IntegrationPoint, IP, Node ### ELEMENTS ### include("elements.jl") # common element routines -export Node, AbstractElement, Element, update!, get_connectivity, get_basis, get_dbasis +export Node, AbstractElement, Element, update!, get_connectivity, get_basis, get_dbasis, inside, get_local_coordinates include("elements_lagrange_macro.jl") # Continuous Galerkin (Lagrange) elements generated using macro include("elements_lagrange.jl") # Continuous Galerkin (Lagrange) elements -export get_reference_coordinates +export get_reference_coordinates, get_interpolation_polynomial export Poi1, Seg2, Seg3, Tri3, Tri6, Quad4, Quad8, Quad9, diff --git a/src/preprocess.jl b/src/preprocess.jl index 2c19c79..f7b19ab 100644 --- a/src/preprocess.jl +++ b/src/preprocess.jl @@ -89,13 +89,8 @@ function filter_by_element_set(mesh::Mesh, set_name::String) end function create_elements(mesh::Mesh) - elements = Element[] - for (elid, elcon) in mesh.elements - eltype = mesh.element_types[elid] - element = Element(JuliaFEM.(eltype), elcon) - update!(element, "geometry", mesh.nodes) - push!(elements, element) - end + elements = [Element(JuliaFEM.(mesh.element_types[elid]), elcon) for (elid, elcon) in mesh.elements] + update!(elements, "geometry", mesh.nodes) return elements end @@ -103,7 +98,7 @@ function create_elements(mesh::Mesh, element_sets::String...) elements = Element[] for element_set in element_sets new_elements = create_elements(filter_by_element_set(mesh, element_set)) - push!(elements, new_elements...) + elements = [elements; new_elements] end return elements end diff --git a/src/preprocess_aster_reader.jl b/src/preprocess_aster_reader.jl index 83a6bfd..67088b8 100644 --- a/src/preprocess_aster_reader.jl +++ b/src/preprocess_aster_reader.jl @@ -346,11 +346,13 @@ Dict containing fields "nodes" and "connectivity". """ function parse_aster_med_file(fn::String, mesh_name=nothing; debug=false) med = MEDFile(fn) - if isa(mesh_name, Void) - mesh_names = get_mesh_names(med::MEDFile) - all_meshes = join(mesh_names, ", ") + mesh_names = get_mesh_names(med::MEDFile) + all_meshes = join(mesh_names, ", ") + if mesh_name == nothing length(mesh_names) == 1 || error("several meshes found from med, pick one: $all_meshes") mesh_name = mesh_names[1] + else + mesh_name in mesh_names || error("Mesh $mesh_name not found from mesh file $fn. Available meshes: $all_meshes") end nsets = get_node_sets(med, mesh_name) elsets = get_element_sets(med, mesh_name) diff --git a/src/problems_contact_2d_autodiff.jl b/src/problems_contact_2d_autodiff.jl index 68b1608..621c6a2 100644 --- a/src/problems_contact_2d_autodiff.jl +++ b/src/problems_contact_2d_autodiff.jl @@ -21,7 +21,7 @@ xi """ function project_from_master_to_slave{E<:MortarElements2D}( slave_element::Element{E}, x1_::DVTI, n1_::DVTI, x2::Vector; - tol=1.0e-10, max_iterations=20) + tol=1.0e-10, max_iterations=20, debug=false) x1(xi1) = vec(get_basis(slave_element, [xi1], time))*x1_ dx1(xi1) = vec(get_dbasis(slave_element, [xi1], time))*x1_ @@ -32,21 +32,32 @@ function project_from_master_to_slave{E<:MortarElements2D}( dR(xi1) = cross2(dx1(xi1), n1(xi1)) + cross2(x1(xi1)-x2, dn1(xi1)) xi1 = 0.0 + xi1_next = 0.0 dxi1 = 0.0 for i=1:max_iterations dxi1 = -R(xi1)/dR(xi1) - xi1 += dxi1 - if norm(dxi1) < tol - return xi1 + dxi1 = clamp(dxi1, -0.3, 0.3) + xi1_next = clamp(xi1 + dxi1, -1.0, 1.0) + if norm(xi1_next - xi1) < tol + return xi1_next end + if debug + info("xi1 = $xi1") + info("R(xi1) = $(R(xi1))") + info("dR(xi1) = $(dR(xi1))") + info("dxi1 = $dxi1") + info("norm = $(norm(xi1_next - xi1))") + info("xi1_next = $xi1_next") + end + xi1 = xi1_next end - info("x1 = $(ForwardDiff.get_value(x1_.data))") - info("n1 = $(ForwardDiff.get_value(n1_.data))") - info("x2 = $(ForwardDiff.get_value(x2))") - info("xi1 = $(ForwardDiff.get_value(xi1)), dxi1 = $(ForwardDiff.get_value(dxi1))") - info("-R(xi1) = $(ForwardDiff.get_value(-R(xi1)))") - info("dR(xi1) = $(ForwardDiff.get_value(dR(xi1)))") + info("x1 = $x1_") + info("n1 = $n1_") + info("x2 = $x2") + info("xi1 = $xi1, dxi1 = $dxi1") + info("-R(xi1) = $(-R(xi1))") + info("dR(xi1) = $(dR(xi1))") error("find projection from master to slave: did not converge") end @@ -157,17 +168,8 @@ function assemble!(problem::Problem{Contact}, time::Float64, #distance > props.maximum_distance && continue # calculate segmentation: we care only about endpoints - # note: these are quadratic/cubic functions, analytical solution possible - xi1a = -Inf - xi1b = -Inf - try - xi1a = project_from_master_to_slave(slave_element, x1, n1, x2[1]) - xi1b = project_from_master_to_slave(slave_element, x1, n1, x2[2]) - catch - info("failed to create projection!!!!") - # TODO - continue - end + xi1a = project_from_master_to_slave(slave_element, x1, n1, x2[1]) + xi1b = project_from_master_to_slave(slave_element, x1, n1, x2[2]) xi1 = clamp([xi1a; xi1b], -1.0, 1.0) l = 1/2*abs(xi1[2]-xi1[1]) isapprox(l, 0.0) && continue # no contribution in this master element diff --git a/test/test_contact_2d_finite_sliding.jl b/test/test_contact_2d_finite_sliding.jl index 8e35a7f..b491af3 100644 --- a/test/test_contact_2d_finite_sliding.jl +++ b/test/test_contact_2d_finite_sliding.jl @@ -54,3 +54,18 @@ using JuliaFEM.Test # @test isapprox(normu, 0.49745873784105105) @test isapprox(normu, 0.49745872893844145) end + +#= TODO: Fix test, this is not converging +@testset "project from master to slave" begin + el = Element(Seg2, [1, 2]) + x1 = DVTI(Vector{Float64}[ + [ 0.07406987526791842, 0.6628967239474994], + [-0.24633092752656838, 0.4732606367688589]]) + n1 = DVTI(Vector{Float64}[ + [0.40398625635635355, 0.9147650543583191], + [-0.5093430176405901, 0.860563588807229]]) + x2 = [0.5049198709043257, 0.27765317280577695] + xi = project_from_master_to_slave(el, x1, n1, x2; debug=true) + info("xi = $xi") +end +=# diff --git a/test/test_elements_2.jl b/test/test_elements_2.jl new file mode 100644 index 0000000..3bbb90c --- /dev/null +++ b/test/test_elements_2.jl @@ -0,0 +1,50 @@ +using JuliaFEM +using JuliaFEM.Test + +@testset "inverse isoparametric mapping" begin + el = Element(Quad4, [1, 2, 3, 4]) + X = Dict{Int64, Vector{Float64}}( + 1 => [0.0, 0.0], + 2 => [1.0, 0.0], + 3 => [1.0, 1.0], + 4 => [0.0, 1.0]) + update!(el, "geometry", X) + time = 0.0 + X1 = el("geometry", [0.1, 0.2], time) + xi = get_local_coordinates(el, X1, time) + X2 = el("geometry", xi, time) + info("X1 = $X1, X2 = $X2") + @test isapprox(X1, X2) +end + +@testset "inside of linear element" begin + el = Element(Quad4, [1, 2, 3, 4]) + X = Dict{Int64, Vector{Float64}}( + 1 => [0.0, 0.0], + 2 => [1.0, 0.0], + 3 => [1.0, 1.0], + 4 => [0.0, 1.0]) + update!(el, "geometry", X) + time = 0.0 + @test inside(el, [0.5, 0.5], time) == true + @test inside(el, [1.0, 0.5], time) == true + @test inside(el, [1.0, 1.0], time) == true + @test inside(el, [1.01, 1.0], time) == false + @test inside(el, [1.0, 1.01], time) == false +end + +@testset "inside of quadratic element" begin + el = Element(Tri6, [1, 2, 3, 4, 5, 6]) + X = Dict{Int64, Vector{Float64}}( + 1 => [0.0, 0.0], + 2 => [1.0, 0.0], + 3 => [0.0, 1.0], + 4 => [0.5, 0.2], + 5 => [0.8, 0.6], + 6 => [-0.2, 0.5]) + update!(el, "geometry", X) + p = [0.94, 0.3] # visually checked to be inside + @test inside(el, p, 0.0) == true + p = [-0.2, 0.8] # visually checked to be outside + @test inside(el, p, 0.0) == false +end diff --git a/test/test_heat.jl b/test/test_heat.jl index db47281..02467ff 100644 --- a/test/test_heat.jl +++ b/test/test_heat.jl @@ -9,7 +9,7 @@ using JuliaFEM.Postprocess @testset "Tet10 + convection" begin # For some reason Tet10 fails, maybe because of convection. mesh_file = Pkg.dir("JuliaFEM") * "/test/testdata/primitives.med" - mesh = aster_read_mesh(mesh_file, "Tet10") + mesh = aster_read_mesh(mesh_file, "TETRA_TET10_1") prob = Problem(Heat, "tet", 1) face = Problem(Heat, "face 4", 1) fixed = Problem(Dirichlet, "fixed face 3", 1, "temperature") diff --git a/test/test_heat_2.jl b/test/test_heat_2.jl new file mode 100644 index 0000000..fb8a9cd --- /dev/null +++ b/test/test_heat_2.jl @@ -0,0 +1,49 @@ +# This file is a part of JuliaFEM. +# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md +using JuliaFEM +using JuliaFEM.Preprocess +using JuliaFEM.Postprocess +using JuliaFEM.Test + +@testset "3d rod" begin + mesh = aster_read_mesh(Pkg.dir("JuliaFEM")*"/test/testdata/primitives.med", "CYLINDER_20_TET4") + problem = Problem(Heat, "rod of length 20", 1) + problem.elements = create_elements(mesh, "CYLINDER") + update!(problem, "temperature thermal conductivity", 200.0) + outer = Problem(Heat, "outer surface", 1) + outer.elements = create_elements(mesh, "FACE2", "FACE3") + update!(outer, "temperature external temperature", 20.0) + update!(outer, "temperature heat transfer coefficient", 1.0) + #midline = Problem(Heat, "midline of rod", 1) + #midline.elements = create_elements(mesh, "INNER_LINE") + boundary = Problem(Dirichlet, "homogeneous dirichlet boundary", 1, "temperature") + boundary.elements = create_elements(mesh, "FACE1") + update!(boundary, "temperature 1", 100.0) + #solver = LinearSolver(problem, outer, boundary, midline) + solver = LinearSolver(problem, outer, boundary) + solver() + + L = 20 + k = 200.0 + Tu = 20.0 + h = 1.0 + P = 2*pi + A = pi + α = h + β = sqrt((h*P)/(k*A)) + T0 = 100.0 + C = [1.0 1.0; (α+k*β)*exp(β*L) (α-k*β)*exp(-β*L)] \ [T0-Tu, 0] + T(x) = dot(C, [exp(β*x), exp(-β*x)]) + Tu + + T_diff = [] + for x in linspace(0, 20) + T_FEM = problem("temperature", [x, 0.0, 0.0])[1] + T_ACC = T(x) + push!(T_diff, norm(T_FEM - T_ACC)) + info("x = $x, T_FEM = $T_FEM, T_ACC = $T_ACC") + end + info("mean diff = ", mean(T_diff)) + # mean diff = 1.14 + @test mean(T_diff) < 1.2 +end + diff --git a/test/test_heat_3.jl b/test/test_heat_3.jl new file mode 100644 index 0000000..0d77cf7 --- /dev/null +++ b/test/test_heat_3.jl @@ -0,0 +1,52 @@ +# This file is a part of JuliaFEM. +# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md +using JuliaFEM +using JuliaFEM.Preprocess +using JuliaFEM.Postprocess +using JuliaFEM.Test + +@testset "2d poisson problem with known analytical solution" begin + # from FENiCS tutorial, u(x,y) = 1 + x² + 2y² on [0x1]×[0,1] + # and u₀(x,y) = 1 + x² + 2y², f(x,y) = -6 + + mesh_file = Pkg.dir("JuliaFEM")*"/test/testdata/primitives.med" + mesh = aster_read_mesh(mesh_file, "UNITSQUARE_6X4") + + field = Problem(Heat, "unit square, 6x4 triangular mesh", 1) + field.elements = create_elements(mesh, "UNITSQUARE") + field.properties.formulation = "2D" + update!(field, "temperature thermal conductivity", 1.0) + update!(field, "temperature load", -6.0) + + bc = Problem(Dirichlet, "u₀(x,y) = 1 + x² + 2y²", 1, "temperature") + #bc.properties.order = 2 + #bc.properties.dual_basis = true + bc.properties.variational = false + bc.elements = create_elements(mesh, "FACE1", "FACE2", "FACE3", "FACE4") + function u0(element, ip, time) + x, y = element("geometry", ip, time) + return 1 + x^2 + 2*y^2 + end + update!(bc, "temperature 1", u0) + + solver = LinearSolver(field, bc) + solver() + + T_fem = Float64[] + T_acc = Float64[] + for (nid, X) in field("geometry") +# info("$nid -> $X") + push!(T_fem, field("temperature", X)[1]) + push!(T_acc, 1.0 + X[1]^2 + 2*X[2]^2) + end + + for element in bc.elements + for (X, T_fem) in zip(element("geometry", 0.0), element("temperature", 0.0)) + x, y = X + T_acc = 1.0 + x^2 + 2*y^2 +# info("(x,y) = ($x,$y), T_acc = $T_acc, T_fem = $T_fem") + end + end + + @test maximum(abs(T_fem-T_acc)) < 1.0e-12 +end diff --git a/test/test_postprocess.jl b/test/test_postprocess.jl new file mode 100644 index 0000000..2d0b6bf --- /dev/null +++ b/test/test_postprocess.jl @@ -0,0 +1,52 @@ +using JuliaFEM +using JuliaFEM.Test + +@testset "get nodal values" begin + el1 = Element(Seg2, [1, 2]) + el2 = Element(Seg2, [2, 3]) + X = Dict{Int64, Vector{Float64}}( + 1 => [0.0], + 2 => [1.0], + 3 => [2.0]) + T = Dict{Int64, Vector{Float64}}( + 1 => [0.0], + 2 => [1.0], + 3 => [0.0]) + P = Problem(Heat, "foo", 1) + push!(P, el1, el2) + update!(P, "geometry", X) + update!(P, "temperature", T) + @test isnan(P("temperature", [-0.1])) + @test isapprox(P("temperature", [0.0]), [0.0]) + @test isapprox(P("temperature", [0.5]), [0.5]) + @test isapprox(P("temperature", [1.0]), [1.0]) + @test isapprox(P("temperature", [1.5]), [0.5]) + @test isapprox(P("temperature", [2.0]), [0.0]) + @test isnan(P("temperature", [ 2.1])) +end + + +@testset "interpolate from set of elements" begin + el1 = Element(Seg2, [1, 2]) + el2 = Element(Seg2, [2, 3]) + X = Dict{Int64, Vector{Float64}}( + 1 => [0.0], + 2 => [1.0], + 3 => [2.0]) + T = Dict{Int64, Vector{Float64}}( + 1 => [0.0], + 2 => [1.0], + 3 => [0.0]) + P = Problem(Heat, "foo", 1) + push!(P, el1, el2) + update!(P, "geometry", X) + update!(P, "temperature", T) + @test isnan(P("temperature", [-0.1])) + @test isapprox(P("temperature", [0.0]), [0.0]) + @test isapprox(P("temperature", [0.5]), [0.5]) + @test isapprox(P("temperature", [1.0]), [1.0]) + @test isapprox(P("temperature", [1.5]), [0.5]) + @test isapprox(P("temperature", [2.0]), [0.0]) + @test isnan(P("temperature", [ 2.1])) +end + diff --git a/test/test_preprocess_aster_reader.jl b/test/test_preprocess_aster_reader.jl index 9e23e2d..7276e7c 100644 --- a/test/test_preprocess_aster_reader.jl +++ b/test/test_preprocess_aster_reader.jl @@ -151,9 +151,9 @@ end @test length(mesh2.elements) == 1 end -function calculate_volume(eltype::Symbol) +function calculate_volume(mesh_name::String, eltype::Symbol) fn = Pkg.dir("JuliaFEM") * "/test/testdata/primitives.med" - mesh = aster_read_mesh(fn, "$eltype") + mesh = aster_read_mesh(fn, mesh_name) elements = create_elements(mesh, eltype) V = 0.0 time = 0.0 @@ -168,15 +168,22 @@ function calculate_volume(eltype::Symbol) return V end -@testset "calculate volume for primitives" begin - @test isapprox(calculate_volume(:Tet4), 1/6) - @test isapprox(calculate_volume(:Tet10), 1/6) - @test isapprox(calculate_volume(:Hex8), 2^3) - @test isapprox(calculate_volume(:Hex20), 2^3) - @test isapprox(calculate_volume(:Hex27), 2^3) -# @test isapprox(get_volume("PE6"), V) -# @test isapprox(get_volume("PY5"), V) -# @test isapprox(get_volume("P15"), V) -# @test isapprox(get_volume("P13"), V) +@testset "calculate volume for 1 element models" begin + @test isapprox(calculate_volume("TRIANGLE_TRI3_1", :Tri3), 1/2) + @test isapprox(calculate_volume("TRIANGLE_TRI6_1", :Tri6), 1/2) +# @test isapprox(calculate_volume("TRIANGLE_TRI7_1", :Tri7), 1/2) + @test isapprox(calculate_volume("SQUARE_QUAD4_1", :Quad4), 2^2) + @test isapprox(calculate_volume("SQUARE_QUAD8_1", :Quad8), 2^2) + @test isapprox(calculate_volume("SQUARE_QUAD9_1", :Quad9), 2^2) + @test isapprox(calculate_volume("TETRA_TET4_1", :Tet4), 1/6) + @test isapprox(calculate_volume("TETRA_TET10_1", :Tet10), 1/6) +# @test isapprox(calculate_volume("TETRA_TET14_1", :Tet14), 1/6) + @test isapprox(calculate_volume("CUBE_HEX8_1", :Hex8), 2^3) + @test isapprox(calculate_volume("CUBE_HEX20_1", :Hex20), 2^3) + @test isapprox(calculate_volume("CUBE_HEX27_1", :Hex27), 2^3) +# @test isapprox(calculate_volume("WEDGE_WEDGE6_1", :Wedge6, 1/2)) +# @test isapprox(calculate_volume("WEDGE_WEDGE15_1", :Wedge15, 1/2)) +# @test isapprox(calculate_volume("PYRAMID_PYRAMID5_1", :Pyramid5, ?)) +# @test isapprox(calculate_volume("PYRAMID_PYRAMID13_1", :Pyramid13, ?)) end diff --git a/test/testdata/primitives.hdf b/test/testdata/primitives.hdf index 233bdc1926852de7e01dc79dc6635e236102d878..b7f77faa5b47642ea9987e039b1828681ceb434f 100644 GIT binary patch literal 2256801 zcmeFaOOtKKmEQ-pEW2H{BK(**93I>-gAtl^`_}6`dL%Rmb~8*83;-=z6GJq4)r|-? zz(9izY2xruo@wZ*XBzku*b0R`lfQw79{O9@zu*7A_Bp4j&b_#`>jI?~8;_Hfd+%KN zSdUz}R<6wd=}&+7qrY?UpI^M^KfnL`@BKUP{YUw8`T76mpa12{|1yu3{PO-E%^%;J z^q)=oFMh9oeD6K~eeb>hY@Ywe1ONVapMLz|hwt&_0)I)T*n9ua-|k-voaOo7q`w;@ z@TVWX|8sl#-%NM^-lYF}=xnm@{qX%y-~ZsFpZ@%#pMChVPkH#sr+@atfB4xapMLyj zAAI^}AAk7X&p!I}!$1D$qyPG|zyJQnKYss@fAZlcExFL|efoMG{r>6SYPr7{y8I^k z{eS=cet(y{`s{Ch|Lq@v`}Die**_clSw`UHA6@>@B^lEz(uFSn-txgC(@%c((GS1( z-rsuf_ov*8q1y%SeLDWT^W9(k%l{&OE#Lj-zpecL=l`hb(*FPX|11M8-+ll8Duw?a z^Zb#`{WtdW*U5pO|9frnZ-&3WNe=wI|FGXL{j;BZ`r~={{-+jz{P@Rw;NSkU@ZXE%9{yAg{N6zh{N173 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