From 67ace8acdc5578e2d7d4d80339aa4cc82fa0cf90 Mon Sep 17 00:00:00 2001 From: Jukka Aho Date: Wed, 27 Jul 2016 18:12:24 +0300 Subject: [PATCH] lot of new tests, echangement of modal solver, eigenvalue analysis with mesh tie --- src/JuliaFEM.jl | 3 +- src/abaqus.jl | 2 +- src/postprocess_utils.jl | 16 +- src/preprocess.jl | 12 ++ src/preprocess_aster_reader.jl | 76 +++++++++- src/problems.jl | 8 +- src/problems_mortar_3d.jl | 19 ++- src/solvers.jl | 31 +++- src/solvers_modal.jl | 76 ++++++++-- src/sparse.jl | 8 +- test/test_heat_3d_two_rings.jl | 51 +++++++ test/test_modal_analysis_elasticity.jl | 75 +++++++++- test/test_modal_analysis_elasticity_2.jl | 68 +++++++++ test/test_mortar_3d_mesh_tie_modal.jl | 175 ++++++++++++++++++++++ test/test_mortar_3d_mesh_tie_two_rings.jl | 61 ++++++++ test/test_preprocess_aster_reader.jl | 9 ++ test/test_projection.jl | 62 ++++++++ test/testdata/joint.med | Bin 0 -> 444737 bytes test/testdata/primitives.hdf | Bin 3272888 -> 4650989 bytes test/testdata/primitives.med | Bin 632840 -> 984759 bytes test/testdata/rings.rmed | Bin 0 -> 80963 bytes 21 files changed, 717 insertions(+), 35 deletions(-) create mode 100644 test/test_heat_3d_two_rings.jl create mode 100644 test/test_modal_analysis_elasticity_2.jl create mode 100644 test/test_mortar_3d_mesh_tie_modal.jl create mode 100644 test/test_mortar_3d_mesh_tie_two_rings.jl create mode 100644 test/testdata/joint.med create mode 100644 test/testdata/rings.rmed diff --git a/src/JuliaFEM.jl b/src/JuliaFEM.jl index 7cca197..22b1cba 100644 --- a/src/JuliaFEM.jl +++ b/src/JuliaFEM.jl @@ -115,7 +115,8 @@ include("preprocess_aster_reader.jl") export aster_create_elements, parse_aster_med_file, is_aster_mail_keyword, parse_aster_header, aster_parse_nodes, aster_renumber_nodes!, aster_renumber_elements!, aster_combine_meshes, aster_read_mesh, - filter_by_element_set, filter_by_element_id, MEDFile + filter_by_element_set, filter_by_element_id, MEDFile, aster_read_data, + aster_read_mesh_names, aster_read_node_sets, aster_read_nodes, RMEDFile end function get_mesh(mesh_name::AbstractString, args...; kwargs...) diff --git a/src/abaqus.jl b/src/abaqus.jl index a52dfbd..c9817d5 100644 --- a/src/abaqus.jl +++ b/src/abaqus.jl @@ -672,7 +672,7 @@ function abaqus_download(name) fn = rstrip(ENV["ABAQUS_DOWNLOAD_DIR"], '/') * "/" * fn end if !isfile(fn) - info("Downloading model $name from $url to $fn") + info("Downloading model $name ...") download("$url/$name.inp", fn) end return 0 diff --git a/src/postprocess_utils.jl b/src/postprocess_utils.jl index db37b8f..f6b169b 100644 --- a/src/postprocess_utils.jl +++ b/src/postprocess_utils.jl @@ -130,7 +130,7 @@ function calc_nodal_values!(elements::Vector, field_name, field_dim, time; end end -function calc_nodal_values!(problem::Problem, field_name, field_dim, time) +function calc_nodal_values!(problem::Problem, field_name::AbstractString, field_dim::Int, time::Float64) # after all, it's just a mass matrix ... # isempty(problem.assembly.M) && assemble!(problem, time, Val{:mass_matrix}; density=1.0, dual_basis=false, dim=1) # M = sparse(problem.assembly.M) @@ -141,7 +141,7 @@ end """ Return node ids + vector of values """ -function get_nodal_vector(elements, field_name, time) +function get_nodal_vector(elements::Vector, field_name::AbstractString, time::Float64) f = Dict() for element in elements for (c, v) in zip(get_connectivity(element), element[field_name](time)) @@ -337,6 +337,18 @@ function call(problem::Problem, field_name::AbstractString, X::Vector, time::Flo return fillna end +function call(solver::Solver, field_name::AbstractString, X::Vector, time::Float64; fillna=NaN) + for problem in get_problems(solver) + for element in get_elements(problem) + if inside(element, X, time) + xi = get_local_coordinates(element, X, time) + return element(field_name, xi, time) + end + end + end + return fillna +end + """ Calculate area of cross-section. """ function calculate_area(problem::Problem, X=[0.0, 0.0], time=0.0) A = 0.0 diff --git a/src/preprocess.jl b/src/preprocess.jl index 95a0375..e2d9a0d 100644 --- a/src/preprocess.jl +++ b/src/preprocess.jl @@ -165,6 +165,18 @@ function reorder_element_connectivity!(mesh::Mesh, mapping::Dict{Symbol, Vector{ end end +function JuliaFEM.Problem{P<:FieldProblem}(mesh::Mesh, ::Type{P}, name::AbstractString, dimension::Int64) + problem = Problem{P}(name, dimension, "none", [], Dict(), Assembly(), P()) + problem.elements = create_elements(mesh, name) + return problem +end + +function JuliaFEM.Problem{P<:BoundaryProblem}(mesh::Mesh, ::Type{P}, name, dimension, parent_field_name) + problem = Problem{P}(name, dimension, parent_field_name, [], Dict(), Assembly(), P()) + problem.elements = create_elements(mesh, name) + return problem +end + """ Swap surface element connectivity s.t. normals point outward """ diff --git a/src/preprocess_aster_reader.jl b/src/preprocess_aster_reader.jl index 2d3e611..e116441 100644 --- a/src/preprocess_aster_reader.jl +++ b/src/preprocess_aster_reader.jl @@ -55,19 +55,17 @@ function parse(mesh, ::Type{Val{:CODE_ASTER_MAIL}}) end -""" -Code Aster binary file (.med), which is exported from SALOME. -""" +""" Code Aster binary file (.med). """ type MEDFile data :: Dict end function MEDFile(fn) - MEDFile(h5read(fn, "/")) + return MEDFile(h5read(fn, "/")) end function get_mesh_names(med::MEDFile) - return collect(keys(med.data["FAS"])) + return sort(collect(keys(med.data["FAS"]))) end function get_nodes(med::MEDFile, nsets, mesh_name) @@ -91,6 +89,13 @@ end function get_node_sets(med::MEDFile, mesh_name) ns = Dict{Int64, Symbol}(0 => :NALL) + if !haskey(med.data["FAS"], mesh_name) + warn("Mesh $mesh_name not found from med file.") + meshes = get_mesh_names(med) + all_meshes = join(meshes, ", ") + warn("Available meshes: $all_meshes") + error("Mesh $mesh_name not found.") + end haskey(med.data["FAS"][mesh_name], "NOEUD") || return ns nsets = med.data["FAS"][mesh_name]["NOEUD"] for nset in keys(nsets) @@ -250,4 +255,63 @@ function aster_read_mesh(fn, mesh_name=nothing; reorder_element_connectivity=tru return mesh end -# TODO: refactor and remove obsolete stuff. +""" Code Aster result file (.rmed). """ +type RMEDFile + data :: Dict +end + +function RMEDFile(fn) + return RMEDFile(h5read(fn, "/")) +end + +""" Return nodes from result med file. """ +function aster_read_nodes(rmed::RMEDFile) + increments = keys(rmed.data["ENS_MAA"]["MAIL"]) + @assert length(increments) == 1 + increment = first(increments) + nodes = rmed.data["ENS_MAA"]["MAIL"][increment]["NOE"] + node_names = nodes["NOM"] + node_coords = nodes["COO"] + nnodes = length(node_names) + dim = round(Int, length(node_coords)/nnodes) + node_coords = reshape(node_coords, nnodes, dim)' + stripper(node_name) = strip(ascii(pointer(convert(Vector{UInt8}, node_name)))) + node_names = map(stripper, node_names) + # INFO: quite safe assumption is that id is in node name, i.e. N1 => 1, N123 => 123 + node_id(node_name) = parse(matchall(r"\d+", node_name)[1]) + node_ids = map(node_id, node_names) + nodes = Dict([j => node_coords[:,j] for j in node_ids]) + return nodes +end + +""" Read nodal field from rmed file. """ +function aster_read_data(rmed::RMEDFile, field_name; field_type=:NODE, + info_fields=true, node_ids=nothing) + + if contains(field_name, "ELGA") + field_type = :GAUSS + end + + if node_ids == nothing + nodes = aster_read_nodes(rmed) + node_ids = sort(collect(keys(nodes))) + end + + if info_fields + field_names = keys(rmed.data["CHA"]) + all_fields = join(field_names, ", ") + info("results: $all_fields") + end + + chdata = rmed.data["CHA"]["RESU____$field_name"] + @assert length(chdata) == 1 + increment = chdata[first(keys(chdata))] + if field_type == :NODE + data = increment["NOE"]["MED_NO_PROFILE_INTERNAL"]["CO"] + results = Dict([j => data[j] for j in node_ids]) + else + error("Unable to read result of type $field_type: not implemented") + end + return results +end + diff --git a/src/problems.jl b/src/problems.jl index 0e36e7a..9514651 100644 --- a/src/problems.jl +++ b/src/problems.jl @@ -104,10 +104,10 @@ julia> prob2 = Problem(Elasticity, 3) """ function Problem{P<:FieldProblem}(::Type{P}, name::AbstractString, dimension::Int64) - Problem{P}(name, dimension, "none", [], Dict(), Assembly(), P()) + return Problem{P}(name, dimension, "none", [], Dict(), Assembly(), P()) end function Problem{P<:FieldProblem}(::Type{P}, dimension::Int64) - Problem{P}("$P problem", dimension, "none", [], Dict(), Assembly(), P()) + return Problem{P}("$P problem", dimension, "none", [], Dict(), Assembly(), P()) end """ Construct a new boundary problem. @@ -120,13 +120,13 @@ julia> bc1 = Problem(Dirichlet, "support", 3, "displacement") """ function Problem{P<:BoundaryProblem}(::Type{P}, name, dimension, parent_field_name) - Problem{P}(name, dimension, parent_field_name, [], Dict(), Assembly(), P()) + return Problem{P}(name, dimension, parent_field_name, [], Dict(), Assembly(), P()) end function Problem{P<:BoundaryProblem}(::Type{P}, main_problem::Problem) name = "$P problem" dimension = get_unknown_field_dimension(main_problem) parent_field_name = get_unknown_field_name(main_problem) - Problem{P}(name, dimension, parent_field_name, [], Dict(), Assembly(), P()) + return Problem{P}(name, dimension, parent_field_name, [], Dict(), Assembly(), P()) end function get_formulation_type{P<:FieldProblem}(problem::Problem{P}) diff --git a/src/problems_mortar_3d.jl b/src/problems_mortar_3d.jl index 7499ed0..853becf 100644 --- a/src/problems_mortar_3d.jl +++ b/src/problems_mortar_3d.jl @@ -86,6 +86,21 @@ function get_cells(P, C) info("indices = $indices") end +""" Test does P contain q. """ +function contains{T}(P::Vector{T}, q::T; check_is_close=true, rtol=1.0e-5) + if q in P + return true + end + if check_is_close + for p in P + if isapprox(p, q; rtol=rtol) + return true + end + end + end + return false +end + function get_polygon_clip(xs, xm, n; debug=false) # objective: search does line xm1 - xm2 clip xs nm = length(xm) @@ -103,7 +118,7 @@ function get_polygon_clip(xs, xm, n; debug=false) # 2. test is slave point inside master, if yes, add to clip for i=1:ns if vertex_inside_polygon(xs[i], xm) - xs[i] in P && continue + contains(P, xs[i]) && continue debug && info("2. $(xs[i]) inside M -> push") push!(P, xs[i]) end @@ -126,7 +141,7 @@ function get_polygon_clip(xs, xm, n; debug=false) q = xs1 + t*(xs2 - xs1) #info("t=$t, q=$q, q ∈ xm ? $(vertex_inside_polygon(q, xm))") if vertex_inside_polygon(q, xm) - q in P && continue + contains(P, q) && continue debug && info("3. $q inside M -> push") push!(P, q) end diff --git a/src/solvers.jl b/src/solvers.jl index fe7da6d..ab8431a 100644 --- a/src/solvers.jl +++ b/src/solvers.jl @@ -217,6 +217,19 @@ function create_projection(C::SparseMatrixCSC, g; S=nothing, tol=1.0e-12) return P, h end +""" Assume C is invertible. """ +function create_projection(C, g, ::Type{Val{:invertible}}) + nz1, nz2 = get_nonzeros(C) + P = spzeros(size(C)...) + for j=1:size(C,1) + j in nz1 && continue + P[j,j] = 1.0 + end + v = lufact(C[nz1,nz2]) \ full(g[nz1]) + return P, v +end + + """ Solve linear system using LDLt factorization (SuiteSparse). This version @@ -332,20 +345,34 @@ function solve_linear_system(solver::Solver; F=nothing, empty_assemblies_before_ end """ Default assembler for solver. """ -function assemble!(solver::Solver; show_info=true) +function assemble!(solver::Solver; show_info=true, timing=true) show_info && info("Assembling problems ...") t0 = Base.time() + assembly_times = Dict() nproblems = 0 ndofs = 0 for problem in solver.problems + t00 = Base.time() empty!(problem.assembly) assemble!(problem, solver.time) nproblems += 1 - ndofs = max(ndofs, size(problem.assembly.K, 2)) + Ks = size(problem.assembly.K, 2) + Cs = size(problem.assembly.C1, 2) + ndofs = max(ndofs, Ks, Cs) + t11 = Base.time() + assembly_times[problem.name] = t11-t00 end solver.ndofs = ndofs t1 = round(Base.time()-t0, 2) show_info && info("Assembled $nproblems problems in $t1 seconds. ndofs = $ndofs.") + if timing + info("Assembly times:") + for (i, problem) in enumerate(solver.problems) + pn = problem.name + pt = round(assembly_times[pn], 2) + info("$i $pn $pt") + end + end end function get_unknown_fields(solver::Solver) diff --git a/src/solvers_modal.jl b/src/solvers_modal.jl index a298c2e..6ff8381 100644 --- a/src/solvers_modal.jl +++ b/src/solvers_modal.jl @@ -23,7 +23,7 @@ function Modal(nev=10, which=:SM) solver = Modal(false, Vector(), Matrix(), nev, which) end -function call(solver::Solver{Modal}; show_info=true, debug=false) +function call(solver::Solver{Modal}; show_info=true, debug=false, bc_invertible=false) show_info && info(repeat("-", 80)) show_info && info("Starting natural frequency solver") show_info && info("Increment time t=$(round(solver.time, 3))") @@ -48,16 +48,59 @@ function call(solver::Solver{Modal}; show_info=true, debug=false) if solver.properties.geometric_stiffness K += Kg end - + @assert nnz(D) == 0 @assert C1 == C2 tic() - P, h = create_projection(C1, g) + + if bc_invertible + P, h = create_projection(C1, g, Val{:invertible}) + else + P, h = create_projection(C1, g) + end K_red = P'*K*P M_red = P'*M*P + # make sure matrices are symmetric K_red = 1/2*(K_red + K_red') M_red = 1/2*(M_red + M_red') + +#= + ndim = size(C1,1) + nz = get_nonzero_rows(C1) + nz = setdiff(collect(1:ndim), nz) + g = zeros(ndim) + P = spzeros(ndim, ndim) + for j in nz + P[j,j] = 1.0 + end + K_red = P'*K*P + M_red = P'*M*P + # make sure matrices are symmetric + K_red = 1/2*(K_red + K_red') + M_red = 1/2*(M_red + M_red') + + #= + K_red = K[nz,nz] + M_red = M[nz,nz] + # make sure matrices are symmetric + K_red = 1/2*(K_red + K_red') + M_red = 1/2*(M_red + M_red') + =# + + #= + K_red = copy(K) + M_red = copy(M) + for j=1:size(K_red) + j in nz && continue + K_red[j,:] = 0.0 + K_red[:,j] = 0.0 + M_red[j,:] = 0.0 + M_red[:,j] = 0.0 + end + =# +=# + t1 = round(toq(), 2) info("Eliminated dirichlet boundaries in $t1 seconds.") @@ -79,16 +122,30 @@ function call(solver::Solver{Modal}; show_info=true, debug=false) om2, X = eigs(K_red[nz,nz], M_red[nz,nz]; nev=props.nev, which=props.which) catch info("failed to calculate eigenvalues") - info("K sym?", issym(K_red[nz,nz])) - info("M sym?", issym(M_red[nz,nz])) - info("K posdef?", isposdef(K_red[nz,nz])) - info("M posdef?", isposdef(M_red[nz,nz])) + info("reduced system") + info("is K symmetric? ", issym(K_red[nz,nz])) + info("is M symmetric? ", issym(M_red[nz,nz])) + info("is K positive definite? ", isposdef(K_red[nz,nz])) + info("is M positive definite? ", isposdef(M_red[nz,nz])) k1 = maximum(abs(K_red[nz,nz] - K_red[nz,nz]')) m1 = maximum(abs(M_red[nz,nz] - M_red[nz,nz]')) - info("K skewness ", k1) - info("M skewness ", m1) + info("K 'skewness' (max(abs(K - K'))) = ", k1) + info("M 'skewness' (max(abs(M - M'))) = ", m1) + + info("original matrix") + info("is K symmetric? ", issym(K[nz,nz])) + info("is M symmetric? ", issym(M[nz,nz])) + info("is K positive definite? ", isposdef(K[nz,nz])) + info("is M positive definite? ", isposdef(M[nz,nz])) + k1 = maximum(abs(K[nz,nz] - K[nz,nz]')) + m1 = maximum(abs(M[nz,nz] - M[nz,nz]')) + info("K 'skewness' (max(abs(K - K'))) = ", k1) + info("M 'skewness' (max(abs(M - M'))) = ", m1) + rethrow() end + info("Eigenvalues computed in $t1 seconds. Eigenvalues: $om2") + props.eigvals = om2 props.eigvecs = zeros(ndofs, length(om2)) v = zeros(ndofs) @@ -98,7 +155,6 @@ function call(solver::Solver{Modal}; show_info=true, debug=false) props.eigvecs[:,i] = P*v + g end t1 = round(toq(), 2) - info("Eigenvalues computed in $t1 seconds. Eigenvalues: $om2") for i=1:length(om2) freq = real(sqrt(om2[i])/(2.0*pi)) diff --git a/src/sparse.jl b/src/sparse.jl index d382980..fbc6209 100644 --- a/src/sparse.jl +++ b/src/sparse.jl @@ -163,6 +163,12 @@ function get_nonzero_columns(A::Union{SparseMatrixCOO, Matrix}) return get_nonzero_columns(sparse(A)) end +function get_nonzeros(C::Union{SparseMatrixCSC, Matrix}) + nz1 = get_nonzero_rows(C) + nz2 = get_nonzero_columns(C) + return (nz1, nz2) +end + function size(A::SparseMatrixCOO) isempty(A) && return (0, 0) return maximum(A.I), maximum(A.J) @@ -173,7 +179,7 @@ function size(A::SparseMatrixCOO, idx::Int) end """ Matrix norm. Automatically convert to dense when asking for 2-norm for small matrices. """ -function Base.norm(A::SparseMatrixCOO, p=Inf; maxdim=1000) +function norm(A::SparseMatrixCOO, p=Inf; maxdim=1000) dim = size(A, 1) if p == 2 && dim > maxdim info("Assembly norm: dim = $dim > $maxdim and p=$p, not making dense matrices for operation.") diff --git a/test/test_heat_3d_two_rings.jl b/test/test_heat_3d_two_rings.jl new file mode 100644 index 0000000..17ab52e --- /dev/null +++ b/test/test_heat_3d_two_rings.jl @@ -0,0 +1,51 @@ +# 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.Testing + +#= +Two rings, RING1 = inner, RING2 = outer, RINGS combined mesh. Set T=1.0 for +inner ring and T=2.0 for outer ring, measure temperature from middle of ring. +Results are calculated using Code Aster for comparison. +=# +@testset "test 3d heat, two rings, and compare to CA solution" begin + meshfile = Pkg.dir("JuliaFEM") * "/test/testdata/primitives.med" + mesh = aster_read_mesh(meshfile, "RINGS_UNION") + + rings = Problem(Heat, "RINGS", 1) +# rings.elements = create_elements(mesh; element_type=:Tet4) + rings.elements = create_elements(mesh, "RING1", "RING2") + update!(rings.elements, "temperature thermal conductivity", 1.0) + bc_inner = Problem(Dirichlet, "INNER SURFACE", 1, "temperature") + bc_inner.elements = create_elements(mesh, "RING1_INNER") + bc_outer = Problem(Dirichlet, "OUTER SURFACE", 1, "temperature") + bc_outer.elements = create_elements(mesh, "RING2_OUTER") + update!(bc_inner, "temperature 1", 1.0) + update!(bc_outer, "temperature 1", 2.0) + info("# of elements in RING1_INNER = ", length(bc_inner.elements)) + info("# of elements in RING2_OUTER = ", length(bc_outer.elements)) + solver = LinearSolver(rings, bc_inner, bc_outer) + solver() + + temp_jf = rings("temperature", 0.0) + + fn = Pkg.dir("JuliaFEM") * "/test/testdata/rings.rmed" + results = RMEDFile(fn) + nodes = aster_read_nodes(results) + temp_ca = aster_read_data(results, "TEMP") + + passed = true + for j in sort(collect(keys(temp_jf))) + X = nodes[j] + T1 = temp_jf[j] + T2 = temp_ca[j] + rtol = norm(T1-T2) / max(T1,T2) + @printf "% 5i : %8.5f %8.5f %8.5f | %8.5f %8.5f | %8.5e\n" j X... T1 T2 rtol + passed &= rtol < 1.0e-12 + end + @test passed +end + diff --git a/test/test_modal_analysis_elasticity.jl b/test/test_modal_analysis_elasticity.jl index 6f94fb4..3ca4551 100644 --- a/test/test_modal_analysis_elasticity.jl +++ b/test/test_modal_analysis_elasticity.jl @@ -40,10 +40,29 @@ Fixed-fixed solution is ωᵢ = λᵢ²√(EI/ρA) , where λᵢ = cosh(λᵢℓ 2: 7.853204624095838 3: 10.995607838001671 +Youngs modulus is tuned such that lowest eigenfrequency matches 1.0 + +5 lowest eigenfrequencies using Code Aster and Tet4 elements: +numéro fréquence (HZ) norme d'erreur + 1 1.19789E+00 2.20137E-12 + 2 1.20179E+00 1.99034E-12 + 3 3.07391E+00 3.29226E-13 + 4 3.08812E+00 2.91550E-13 + 5 4.87370E+00 2.95986E-13 + +5 lowest eigenfrequencies using Code Aster and Tet10 elements: +numéro fréquence (HZ) norme d'erreur + 1 9.65942E-01 1.54950E-11 + 2 9.66160E-01 1.62712E-11 + 3 2.52127E+00 2.06544E-12 + 4 2.52187E+00 1.77970E-12 + 5 3.48584E+00 9.96170E-13 + + [1] De Silva, Clarence W. Vibration: fundamentals and practice. CRC press, 2006, p.355 =# -@testset "long rod under point load" begin +@testset "long rod natural frequencies" begin mesh_file = Pkg.dir("JuliaFEM") * "/test/testdata/primitives.med" mesh = aster_read_mesh(mesh_file, "CYLINDER_20_TET10") # for (id, coords) in mesh.nodes @@ -51,7 +70,8 @@ Fixed-fixed solution is ωᵢ = λᵢ²√(EI/ρA) , where λᵢ = cosh(λᵢℓ # end body = Problem(Elasticity, "rod", 3) body.elements = create_elements(mesh, "CYLINDER") - E = 50475.44814745859 + #E = 50475.44814745859 + E = 50475.5 rho = 1.0 update!(body.elements, "youngs modulus", E) update!(body.elements, "poissons ratio", 0.3) @@ -121,13 +141,27 @@ Fixed-fixed solution is ωᵢ = λᵢ²√(EI/ρA) , where λᵢ = cosh(λᵢℓ info("freq_a = $freq_a") solver = Solver(Modal, body, fixed1, fixed2) + solver.properties.nev = 5 solver() - freqs = keys(body["displacement"]) + freqs_jf = sqrt(solver.properties.eigvals)/(2.0*pi) + # with Tet4 elements + #freqs_ca = [1.19789E+00, 1.20179E+00, 3.07391E+00, 3.08813E+00, 4.87370E+00] + # with Tet10 elements + freqs_ca = [9.65942E-01, 9.66160E-01, 2.52127E+00, 2.52187E+00, 3.48584E+00] - rtol1 = norm(freq_sa - freqs[2])/max(freq_sa, freqs[2]) - rtol2 = norm(freq_a - freqs[2])/max(freq_a, freqs[2]) + # looks that juliafem results are more close to 1.0, maybe different integration order + rtol1 = norm(freq_sa - freqs_jf[1])/max(freq_sa, freqs_jf[1]) + rtol2 = norm(freq_a - freqs_jf[1])/max(freq_a, freqs_jf[1]) info("rtol 1 = $rtol1, rtol 2 = $rtol2") - @test rtol2 < 1.0e-2 + passed = true + for (f1, f2) in zip(freqs_jf, freqs_ca) + rtol = norm(f1-f2) / max(f1,f2) + @printf "JF: %8.5e | CA: %8.5e | rtol: %8.5e\n" f1 f2 rtol + passed &= (rtol < 3.0e-2) + end + @test rtol2 < 3.0e-2 + @test passed + #= result = XDMF() for (i, freq) in enumerate(freqs) @@ -138,5 +172,34 @@ Fixed-fixed solution is ωᵢ = λᵢ²√(EI/ρA) , where λᵢ = cosh(λᵢℓ end xdmf_save!(result, "/tmp/rod_nf.xmf") =# + +end + +@testset "eigenvalues of cube (tet4)" begin + meshfile = Pkg.dir("JuliaFEM") * "/test/testdata/primitives.med" + mesh = aster_read_mesh(meshfile, "CUBE_TET4") + cube = Problem(mesh, Elasticity, "CUBE", 3) + update!(cube.elements, "youngs modulus", 10000.0) + update!(cube.elements, "poissons ratio", 0.3) + update!(cube.elements, "density", 10.0) + sym23 = create_elements(mesh, "FACE231") + update!(sym23, "displacement 1", 0.0) + sym13 = create_elements(mesh, "FACE131") + update!(sym13, "displacement 2", 0.0) + sym12 = create_elements(mesh, "FACE121") + update!(sym12, "displacement 3", 0.0) + bcs = Problem(Dirichlet, "bcs", 3, "displacement") + bcs.elements = [sym23; sym13; sym12] + solver = Solver(Modal) + solver.properties.nev = 5 + push!(solver, cube, bcs) + solver() + freqs_jf = sqrt(solver.properties.eigvals)/(2.0*pi) + freqs_ca = [3.73724E+00, 3.73724E+00, 4.93519E+00, 6.59406E+00, 7.65105E+00] + for (f1, f2) in zip(freqs_jf, freqs_ca) + rtol = norm(f1-f2) / max(f1,f2) + @printf "JF: %8.5e | CA: %8.5e | rtol: %8.5e\n" f1 f2 rtol + @test rtol < 1.0e-5 + end end diff --git a/test/test_modal_analysis_elasticity_2.jl b/test/test_modal_analysis_elasticity_2.jl new file mode 100644 index 0000000..cfded39 --- /dev/null +++ b/test/test_modal_analysis_elasticity_2.jl @@ -0,0 +1,68 @@ +# 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.Testing + +@testset "eigenvalues of CYLINDER1" begin + meshfile = Pkg.dir("JuliaFEM") * "/test/testdata/primitives.med" + mesh = aster_read_mesh(meshfile, "CYLINDER_1_TET4") + cylinder = Problem(mesh, Elasticity, "CYLINDER", 3) + update!(cylinder.elements, "youngs modulus", 10000.0) + update!(cylinder.elements, "poissons ratio", 0.3) + update!(cylinder.elements, "density", 10.0) + bc1 = create_elements(mesh, "FACE_YZ1") + update!(bc1, "displacement 1", 0.0) + update!(bc1, "displacement 2", 0.0) + update!(bc1, "displacement 3", 0.0) + bcs = Problem(Dirichlet, "bcs", 3, "displacement") + bcs.elements = bc1 + solver = Solver(Modal) + solver.properties.nev = 3 + push!(solver, cylinder, bcs) + solver() + freqs_jf = sqrt(solver.properties.eigvals)/(2.0*pi) + freqs_ca = [4.84532E+00, 4.90698E+00, 8.33813E+00] + passed = [] + for (f1, f2) in zip(freqs_jf, freqs_ca) + rtol = norm(f1-f2) / max(f1,f2) + @printf "JF: %8.5e | CA: %8.5e | rtol: %8.5e\n" f1 f2 rtol + push!(passed, rtol < 1.0e-5) + end + @test reduce(&, passed) +end + +@testset "eigenvalues of CYLINDER20" begin + meshfile = Pkg.dir("JuliaFEM") * "/test/testdata/primitives.med" + mesh = aster_read_mesh(meshfile, "CYLINDER_20_TET4") + cylinder = Problem(mesh, Elasticity, "CYLINDER", 3) + #update!(cylinder.elements, "youngs modulus", 10.0e6) + update!(cylinder.elements, "youngs modulus", 50475.5) + update!(cylinder.elements, "poissons ratio", 0.3) + #update!(cylinder.elements, "density", 10.0) + update!(cylinder.elements, "density", 1.0) + bc1 = create_elements(mesh, "FACE1", "FACE2") + update!(bc1, "displacement 1", 0.0) + update!(bc1, "displacement 2", 0.0) + update!(bc1, "displacement 3", 0.0) + bcs = Problem(Dirichlet, "bcs", 3, "displacement") + bcs.elements = bc1 + solver = Solver(Modal) + solver.properties.nev = 3 + push!(solver, cylinder, bcs) + solver() + freqs_jf = sqrt(solver.properties.eigvals)/(2.0*pi) + #freqs_ca = [8.82848E-01, 8.85353E-01, 5.30286E+00] # only face1 fixed + #freqs_ca = [5.33185E+00, 5.34920E+00, 1.36820E+01] # face1 and face2 fixed + freqs_ca = [1.19789E+00, 1.20179E+00, 3.07391E+00] + passed = [] + for (f1, f2) in zip(freqs_jf, freqs_ca) + rtol = norm(f1-f2) / max(f1,f2) + @printf "JF: %8.5e | CA: %8.5e | rtol: %8.5e\n" f1 f2 rtol + push!(passed, rtol < 1.0e-5) + end + @test reduce(&, passed) +end + diff --git a/test/test_mortar_3d_mesh_tie_modal.jl b/test/test_mortar_3d_mesh_tie_modal.jl new file mode 100644 index 0000000..cfe2804 --- /dev/null +++ b/test/test_mortar_3d_mesh_tie_modal.jl @@ -0,0 +1,175 @@ +# 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.Testing + +#= +test subjects: +- modal analysis, with mesh tie contact + +Fixed-fixed solution is ωᵢ = λᵢ²√(EI/ρA) , where λᵢ = cosh(λᵢℓ)cos(λᵢℓ) + +1: 4.730040744862704 +2: 7.853204624095838 +3: 10.995607838001671 + +[1] De Silva, Clarence W. Vibration: fundamentals and practice. CRC press, 2006, p.355 + +Code Aster solution: +-------------------- +numéro fréquence (HZ) norme d'erreur + 1 1.12946E+00 5.81018E-12 + 2 1.13141E+00 6.33463E-12 + 3 2.93779E+00 6.53408E-13 + 4 2.94143E+00 5.43970E-13 + 5 4.51684E+00 5.43252E-13 +=# + + +comm_CA = """ +DEBUT(PAR_LOT="NON") + +MAIL = LIRE_MAILLAGE(FORMAT="MED", NOM_MED="CYLINDER_20_SPLITTED") + +MO = AFFE_MODELE( + MAILLAGE=MAIL, + AFFE=_F(TOUT="OUI", + PHENOMENE="MECANIQUE", MODELISATION="3D")) + +MAT = DEFI_MATERIAU( + ELAS=_F(E=50475.45, NU=0.3, RHO=1.0)) + +CHMAT = AFFE_MATERIAU( + MAILLAGE=MAIL, + AFFE=_F(TOUT="OUI", MATER=MAT)) + +BC1 = AFFE_CHAR_MECA( + MODELE=MO, + DDL_IMPO=( + _F(GROUP_MA=("CYLINDER_20_1_FACE1"), DX=0, DY=0, DZ=0))) + +BC2 = AFFE_CHAR_MECA( + MODELE=MO, + DDL_IMPO=( + _F(GROUP_MA=("CYLINDER_20_2_FACE2"), DX=0, DY=0, DZ=0))) + +# ESCL = SLAVE +# MAIT = MASTER +BC3 = AFFE_CHAR_MECA( + MODELE=MO, + LIAISON_MAIL=_F( + GROUP_MA_ESCL="CYLINDER_20_1_FACE2", + GROUP_MA_MAIT="CYLINDER_20_2")) + +# assemble material stiffness matrix + +RIGEL = CALC_MATR_ELEM( + MODELE=MO, + OPTION="RIGI_MECA", + CHAM_MATER=CHMAT, + CHARGE=(BC1, BC2, BC3)) + +NUMEDDL = NUME_DDL( + MATR_RIGI=RIGEL) + +RIGAS = ASSE_MATRICE( + MATR_ELEM=RIGEL, + NUME_DDL=NUMEDDL) + +# assemble mass matrix + +MASSEL = CALC_MATR_ELEM( + MODELE=MO, + OPTION="MASS_MECA", + CHAM_MATER=CHMAT, + CHARGE=(BC1, BC2, BC3)) + +MASSAS = ASSE_MATRICE( + MATR_ELEM=MASSEL, + NUME_DDL=NUMEDDL) + +# modal analysis, without geometric stiffness + +BRESU = CALC_MODES( + MATR_RIGI=RIGAS, + MATR_MASS=MASSAS, + OPTION="BANDE", + CALC_FREQ=_F( + FREQ=(0.0, 5.0))) + +# modal analysis, with geometric stiffness + +BRESU = NORM_MODE( + reuse=BRESU, + MODE=BRESU, + NORME="TRAN") + +IMPR_RESU( + MODELE=MO, + FORMAT="RESULTAT", + RESU=_F(RESULTAT=BRESU)) + +IMPR_RESU( + FORMAT="MED", + UNITE=80, + RESU=_F(RESULTAT=BRESU)) + +FIN() +""" + +@testset "splitted rod with tie contact" begin + # CYLINDER_20_1_FACE1 -- CYLINDER_20_1_FACE2 -- CYLINDER_20_2_FACE_1 -- CYLINDER_20_2_FACE_2 + mesh_file = Pkg.dir("JuliaFEM") * "/test/testdata/primitives.med" + mesh = aster_read_mesh(mesh_file, "CYLINDER_20_SPLITTED") + body1 = Problem(mesh, Elasticity, "CYLINDER_20_1", 3) + body2 = Problem(mesh, Elasticity, "CYLINDER_20_2", 3) + for body in [body1, body2] + update!(body.elements, "youngs modulus", 54475.45) + update!(body.elements, "poissons ratio", 0.3) + update!(body.elements, "density", 1.0) + end + bc1 = Problem(mesh, Dirichlet, "CYLINDER_20_1_FACE1", 3, "displacement") + bc2 = Problem(mesh, Dirichlet, "CYLINDER_20_2_FACE2", 3, "displacement") + for bc in [bc1, bc2] + update!(bc.elements, "displacement 1", 0.0) + update!(bc.elements, "displacement 2", 0.0) + update!(bc.elements, "displacement 3", 0.0) + end + interface = Problem(Mortar, "interface between bodies", 3, "displacement") + slave = create_elements(mesh, "CYLINDER_20_1_FACE2") + master = create_elements(mesh, "CYLINDER_20_2_FACE1") + update!(slave, "master elements", master) + interface.elements = [slave; master] + + solver = Solver(Modal, body1, body2, bc1, bc2, interface) + solver.properties.nev = 5 + solver.properties.which = :SM + solver() + freqs_jf = sqrt(solver.properties.eigvals)/(2*pi) + + freqs_ca = [1.12946E+00, 1.13141E+00, 2.93779E+00, 2.94143E+00, 4.51684E+00] + freq_jf = freqs_jf[1] + freq_ca = freqs_ca[1] + rtol = norm(freq_jf - freq_ca)/max(freq_jf, freq_ca) + info("rtol = $rtol") + for (i, freq) in enumerate(freqs_jf) + @printf "mode %i | freq JuliaFEM %8.3f | freq Code Aster %8.3f\n" i freqs_jf[i] freqs_ca[i] + end + if rtol > 1.0e-3 + outfile = tempname() * ".xmf" + info("Something went wrong, results are saved to $outfile") + result = XDMF() + elems = [body1.elements; body2.elements] + for (i, freq) in enumerate(freqs_jf) + xdmf_new_result!(result, elems, freq) + xdmf_save_field!(result, elems, freq, "displacement"; field_type="Vector") + end + xdmf_save!(result, outfile) + end + @test rtol < 0.05 + +end + diff --git a/test/test_mortar_3d_mesh_tie_two_rings.jl b/test/test_mortar_3d_mesh_tie_two_rings.jl new file mode 100644 index 0000000..d6c1172 --- /dev/null +++ b/test/test_mortar_3d_mesh_tie_two_rings.jl @@ -0,0 +1,61 @@ +# 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.Testing + +#= +Two rings, RING1 is inner, RING2 is outer. Inner diameter is from 0.8 .. 0.9 and +outer ring is 0.9 .. 1.0. Contact surface pair is RING1_OUTER <- RING2_INNER. +Put constant temperature 1.0 for inner surface of inner ring and 2.0 for outer +surface of outer ring. We should expect constant temperature in contact surface. +This is conforming mesh so result should match to the conforming situation. +=# +@testset "test that curved interface transfers constant field without error, two rings problem" begin + meshfile = Pkg.dir("JuliaFEM") * "/test/testdata/primitives.med" + mesh = aster_read_mesh(meshfile, "RINGS") + + ring1 = Problem(Heat, "RING1", 1) + ring1.elements = create_elements(mesh, "RING1") + update!(ring1.elements, "temperature thermal conductivity", 1.0) + + ring2 = Problem(Heat, "RING2", 1) + ring2.elements = create_elements(mesh, "RING2") + update!(ring2.elements, "temperature thermal conductivity", 1.0) + + bc_inner = Problem(Dirichlet, "INNER SURFACE", 1, "temperature") + bc_inner.elements = create_elements(mesh, "RING1_INNER") + update!(bc_inner, "temperature 1", 1.0) + + bc_outer = Problem(Dirichlet, "OUTER SURFACE", 1, "temperature") + bc_outer.elements = create_elements(mesh, "RING2_OUTER") + update!(bc_outer, "temperature 1", 2.0) + + interface = Problem(Mortar, "interface between rings", 1, "temperature") + interface_slave = create_elements(mesh, "RING1_OUTER") + interface_master = create_elements(mesh, "RING2_INNER") + interface.elements = [interface_slave; interface_master] + update!(interface_slave, "master elements", interface_master) + + solver = LinearSolver(ring1, ring2, bc_inner, bc_outer, interface) + solver() + + fn = Pkg.dir("JuliaFEM") * "/test/testdata/rings.rmed" + results = RMEDFile(fn) + nodes = aster_read_nodes(results) + temp_ca = aster_read_data(results, "TEMP") + + passed = true + for j in sort(collect(keys(nodes))) + X = nodes[j] + T1 = solver("temperature", X, 0.0) + T2 = temp_ca[j] + rtol = norm(T1-T2) / max(T1,T2) + @printf "% 5i : %8.5f %8.5f %8.5f | %8.5f %8.5f | %8.5f\n" j X... T1 T2 rtol + passed = passed && (rtol < 1.0e-12) + end + @test passed +end + diff --git a/test/test_preprocess_aster_reader.jl b/test/test_preprocess_aster_reader.jl index d6f72b1..ba01619 100644 --- a/test/test_preprocess_aster_reader.jl +++ b/test/test_preprocess_aster_reader.jl @@ -147,3 +147,12 @@ end # @test isapprox(calculate_volume("PYRAMID_PYRAMID13_1", :Pyramid13, ?)) end +@testset "get nodal field from aster file" begin + fn = Pkg.dir("JuliaFEM") * "/test/testdata/rings.rmed" + medfile = JuliaFEM.Preprocess.RMEDFile(fn) + temp = JuliaFEM.Preprocess.aster_read_data(medfile, "TEMP") + info("temp = $temp") + # more like functional testing, results are what they are, + # we're happy to just have some results + @test true +end diff --git a/test/test_projection.jl b/test/test_projection.jl index 2902e43..d7af575 100644 --- a/test/test_projection.jl +++ b/test/test_projection.jl @@ -3,6 +3,7 @@ using JuliaFEM using JuliaFEM.Testing +using JuliaFEM.Preprocess @testset "test projection" begin C = [ @@ -28,5 +29,66 @@ using JuliaFEM.Testing h_expected = [1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] @test isapprox(full(P), P_expected) @test isapprox(full(h), h_expected) + nz = [5, 6, 7, 8] + info("is P'P positive definite? ", isposdef(P[:,nz]'P[:,nz])) + @test isposdef(P[:,nz]'P[:,nz]) +end + +@testset "test creating projection matrix from invertible problem" begin + # simple 3 element poisson problem + k = [1.0 -1.0; -1.0 1.0] + K = zeros(4, 4) + K[1:2,1:2] += k + K[2:3,2:3] += k + K[3:4,3:4] += k + # first dof homogeneous bc, last dof u₄ = 1 + C = zeros(4, 4) + C[1,1] = 1.0 + C[4,4] = 1.0 + g = zeros(4) + g[1] = 0.0 + g[4] = 1.0 + P, h = create_projection(sparse(C), g, Val{:invertible}) + info("P = ") + dump(full(P)) + P_expected = zeros(4, 4) + P_expected[2,2] = P_expected[3,3] = 1.0 + @test isapprox(full(P), P_expected) + #h_expected = [0.5, 1.0] + #@test isapprox(h, h_expected) +end + +@testset "projection between surfaces" begin + # FIXME: creating mortar projection takes very long time. + meshfile = Pkg.dir("JuliaFEM") * "/test/testdata/joint.med" + isfile(meshfile) || return + mesh = aster_read_mesh(meshfile, "JOINT") + + # top + bc1 = Problem(Dirichlet, "fixed1", 3, "displacement") + bc1.elements = create_elements(mesh, "FIXED1") + update!(bc1.elements, "displacement 1", 0.0) + update!(bc1.elements, "displacement 2", 0.0) + update!(bc1.elements, "displacement 3", 0.0) + + # bottom + bc2 = Problem(Dirichlet, "fixed2", 3, "displacement") + bc2.elements = create_elements(mesh, "FIXED2") + update!(bc2.elements, "displacement 1", 0.0) + update!(bc2.elements, "displacement 2", 0.0) + update!(bc2.elements, "displacement 3", 0.0) + + # joint + contact = Problem(Mortar, "joint", 3, "displacement") + master_elements = create_elements(mesh, "BODY1_TO_BODY2") + slave_elements = create_elements(mesh, "BODY2_TO_BODY1") + update!(slave_elements, "master elements", master_elements) + contact.elements = [master_elements; slave_elements] + + solver = Solver(Modal) + push!(solver, bc1, bc2, contact) + assemble!(solver) + Kb, C1, C2, D, fb, g = get_boundary_assembly(solver) + P, h = create_projection(C1, g) end diff --git a/test/testdata/joint.med b/test/testdata/joint.med new file 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