From bd474f89c468a5e59aa8b33f0e273fae31ef9314 Mon Sep 17 00:00:00 2001 From: "Z J Wegert (Workstation)" Date: Mon, 9 Dec 2024 16:53:14 +1000 Subject: [PATCH] Update with general element size field --- .gitignore | 2 +- docs/src/reference/utilities.md | 3 +- ...Brinkmann_stokes_P1-P1_Ersatz_elast_fsi.jl | 199 + ...Brinkmann_stokes_P2-P1_Ersatz_elast_fsi.jl | 39 +- scripts/Embedded/Examples/fsi/gmsh/mesh.geo | 1 + scripts/Embedded/Examples/fsi/gmsh/mesh.msh | 66785 ++++++++-------- src/GridapTopOpt.jl | 2 + .../UnfittedEvolution/CutFEMEvolve.jl | 18 +- .../UnfittedEvolution/StabilisedReinit.jl | 1 + .../UnfittedEvolution/UnfittedEvolution.jl | 36 +- src/Optimisers/AugmentedLagrangian.jl | 17 +- src/Utilities.jl | 54 +- 12 files changed, 33708 insertions(+), 33449 deletions(-) create mode 100644 scripts/Embedded/Examples/fsi/gmsh/GMSH_TO-5-Brinkmann_stokes_P1-P1_Ersatz_elast_fsi.jl diff --git a/.gitignore b/.gitignore index 066a23f..6db01e3 100644 --- a/.gitignore +++ b/.gitignore @@ -24,7 +24,7 @@ docs/site/ # It records a fixed state of all packages used by the project. As such, it should not be # committed for packages, but should be committed for applications that require a static # environment. -Manifest.toml +Manifest*.toml LocalPreferences.toml GridapTopOpt.so diff --git a/docs/src/reference/utilities.md b/docs/src/reference/utilities.md index 6fc92a5..53b1f46 100644 --- a/docs/src/reference/utilities.md +++ b/docs/src/reference/utilities.md @@ -15,5 +15,6 @@ GridapTopOpt.update_labels! ```@docs GridapTopOpt.initial_lsf GridapTopOpt.isotropic_elast_tensor -GridapTopOpt.get_el_Δ +GridapTopOpt.get_cartesian_element_sizes +GridapTopOpt.get_element_sizes ``` \ No newline at end of file diff --git a/scripts/Embedded/Examples/fsi/gmsh/GMSH_TO-5-Brinkmann_stokes_P1-P1_Ersatz_elast_fsi.jl b/scripts/Embedded/Examples/fsi/gmsh/GMSH_TO-5-Brinkmann_stokes_P1-P1_Ersatz_elast_fsi.jl new file mode 100644 index 0000000..e49af1a --- /dev/null +++ b/scripts/Embedded/Examples/fsi/gmsh/GMSH_TO-5-Brinkmann_stokes_P1-P1_Ersatz_elast_fsi.jl @@ -0,0 +1,199 @@ +using Gridap, Gridap.Geometry, Gridap.Adaptivity +using GridapEmbedded, GridapEmbedded.LevelSetCutters +using GridapGmsh +using GridapTopOpt + +############# + +path = "./results/GMSH-TO-5-Brinkmann_stokes_P1-P1_Ersatz_elast_fsi/results/" +mkpath(path) + +γ_evo = 0.2 +max_steps = 20 +vf = 0.025 +α_coeff = 2 +iter_mod = 1 +D = 2 + +# Load gmsh mesh (Currently need to update mesh.geo and these values concurrently) +L = 2.0; +H = 0.5; +x0 = 0.5; +l = 0.4; +w = 0.025; +a = 0.3; +b = 0.01; + +model = GmshDiscreteModel((@__DIR__)*"/mesh.msh") +writevtk(model,path*"model") + +Ω_act = Triangulation(model) +hₕ = CellField(get_element_sizes(model),Ω_act) + +# Cut the background model +reffe_scalar = ReferenceFE(lagrangian,Float64,1) +V_φ = TestFESpace(model,reffe_scalar) +V_reg = TestFESpace(model,reffe_scalar;dirichlet_tags=["Omega_NonDesign","Gamma_s_D"]) +U_reg = TrialFESpace(V_reg) + +_e = 1e-3 +f0((x,y),W,H) = max(2/W*abs(x-x0),1/(H/2+1)*abs(y-H/2+1))-1 +f1((x,y),q,r) = - cos(q*π*x)*cos(q*π*y)/q - r/q +fin(x) = f0(x,l*(1+5_e),a*(1+5_e)) +fsolid(x) = min(f0(x,l*(1+_e),b*(1+_e)),f0(x,w*(1+_e),a*(1+_e))) +fholes((x,y),q,r) = max(f1((x,y),q,r),f1((x-1/q,y),q,r)) +φf(x) = min(max(fin(x),fholes(x,22,0.6)),fsolid(x)) +φh = interpolate(φf,V_φ) +writevtk(get_triangulation(φh),path*"initial_lsf",cellfields=["φ"=>φh,"h"=>hₕ]) + +# Setup integration meshes and measures +order = 1 +degree = 2*order + +# Ω_act = Triangulation(model) +dΩ_act = Measure(Ω_act,degree) +vol_D = L*H + +Γf_D = BoundaryTriangulation(model,tags="Gamma_f_D") +Γf_N = BoundaryTriangulation(model,tags="Gamma_f_N") +dΓf_D = Measure(Γf_D,degree) +dΓf_N = Measure(Γf_N,degree) +Ω = EmbeddedCollection(model,φh) do cutgeo,_ + Ωs = DifferentiableTriangulation(Triangulation(cutgeo,PHYSICAL),V_φ) + Ωf = DifferentiableTriangulation(Triangulation(cutgeo,PHYSICAL_OUT),V_φ) + Γ = DifferentiableTriangulation(EmbeddedBoundary(cutgeo),V_φ) + Γg = GhostSkeleton(cutgeo) + Ωact = Triangulation(cutgeo,ACTIVE) + (; + :Ωs => Ωs, + :dΩs => Measure(Ωs,degree), + :Ωf => Ωf, + :dΩf => Measure(Ωf,degree), + :Γg => Γg, + :dΓg => Measure(Γg,degree), + :n_Γg => get_normal_vector(Γg), + :Γ => Γ, + :dΓ => Measure(Γ,degree), + :n_Γ => get_normal_vector(Γ.trian), + :Ωact => Ωact + ) +end + +# Setup FESpace +uin(x) = VectorValue(16x[2]*(H-x[2]),0.0) + +reffe_u = ReferenceFE(lagrangian,VectorValue{D,Float64},order,space=:P) +reffe_p = ReferenceFE(lagrangian,Float64,order,space=:P) +reffe_d = ReferenceFE(lagrangian,VectorValue{D,Float64},order) + +V = TestFESpace(Ω_act,reffe_u,conformity=:H1, + dirichlet_tags=["Gamma_f_D","Gamma_NoSlipTop","Gamma_NoSlipBottom","Gamma_s_D"]) +Q = TestFESpace(Ω_act,reffe_p,conformity=:C0) +T = TestFESpace(Ω_act ,reffe_d,conformity=:H1,dirichlet_tags=["Gamma_s_D"]) + +U = TrialFESpace(V,[uin,VectorValue(0.0,0.0),VectorValue(0.0,0.0),VectorValue(0.0,0.0)]) +P = TrialFESpace(Q) +R = TrialFESpace(T) + +X = MultiFieldFESpace([U,P,R]) +Y = MultiFieldFESpace([V,Q,T]) + +# Weak form +## Fluid +# Properties +Re = 60 # Reynolds number +ρ = 1.0 # Density +cl = H # Characteristic length +u0_max = maximum(abs,get_dirichlet_dof_values(U)) +μ = ρ*cl*u0_max/Re # Viscosity +# Stabilization parameters +γ(h) = 100.0*μ/h +β1(h) = 1/3*(h^2/4μ) + +# Terms +σf_n(u,p,n) = μ*∇(u) ⋅ n - p*n +a_Ω(u,v) = μ*(∇(u) ⊙ ∇(v)) +b_Ω(v,p) = - (∇⋅v)*p +c_Ω(p,q) = (β1 ∘ hₕ)*∇(p)⋅∇(q) + +a_fluid((u,p),(v,q)) = + ∫( a_Ω(u,v)+b_Ω(u,q)+b_Ω(v,p)-c_Ω(p,q)) * Ω.dΩf + + ∫( a_Ω(u,v)+b_Ω(u,q)+b_Ω(v,p)-c_Ω(p,q)+γ*u⋅v ) * Ω.dΩs + +## Structure +# Stabilization and material parameters +function lame_parameters(E,ν) + λ = (E*ν)/((1+ν)*(1-2*ν)) + μ = E/(2*(1+ν)) + (λ, μ) +end +λs, μs = lame_parameters(0.1,0.05) +ϵ = (λs + 2μs)*1e-3 +# Terms +σ(ε) = λs*tr(ε)*one(ε) + 2*μs*ε +a_solid(d,s) = ∫(ε(s) ⊙ (σ ∘ ε(d)))Ω.dΩs + + ∫(ϵ*(ε(s) ⊙ (σ ∘ ε(d))))Ω.dΩf # Ersatz + +## Full problem +vec0 = VectorValue(0.0,0.0) +# minus sign because of the normal direction +function a_coupled((u,p,d),(v,q,s),φ) + n_AD = get_normal_vector(Ω.Γ) + return a_fluid((u,p),(v,q)) + a_solid(d,s) + + ∫(-σf_n(u,p,n_AD) ⋅ s)Ω.dΓ + ∫((-σf_n(u,p,vec0) ⋅ s))dΩ_act +end +l_coupled((v,q,s),φ) = ∫(0.0q)dΩ_act + +## Optimisation functionals +J_pres((u,p,d),φ) = ∫(p)dΓf_D - ∫(p)dΓf_N +J_comp((u,p,d),φ) = ∫(ε(d) ⊙ (σ ∘ ε(d)))Ω.dΩs +Vol((u,p,d),φ) = ∫(vol_D)Ω.dΩs - ∫(vf/vol_D)dΩ_act + +## Setup solver and FE operators +state_map = AffineFEStateMap(a_coupled,l_coupled,X,Y,V_φ,U_reg,φh) +pcfs = PDEConstrainedFunctionals(J_comp,[Vol],state_map) + +## Evolution Method +evo = CutFEMEvolve(V_φ,Ω,dΩ_act,hₕ;max_steps) +reinit = StabilisedReinit(V_φ,Ω,dΩ_act,hₕ;stabilisation_method=ArtificialViscosity(3.0)) +ls_evo = UnfittedFEEvolution(evo,reinit) + +## Hilbertian extension-regularisation problems +_α(hₕ) = (α_coeff*hₕ)^2 +a_hilb(p,q) =∫((_α ∘ hₕ)*∇(p)⋅∇(q) + p*q)dΩ_act; +vel_ext = VelocityExtension(a_hilb,U_reg,V_reg) + +## Optimiser +converged(m) = GridapTopOpt.default_al_converged( + m; + L_tol = 0.5h, + C_tol = 0.01vf +) +function has_oscillations(m,os_it) + history = GridapTopOpt.get_history(m) + it = GridapTopOpt.get_last_iteration(history) + all(@.(abs(history[:C,it]) < 0.05vf)) && GridapTopOpt.default_has_oscillations(m,os_it) +end +optimiser = AugmentedLagrangian(pcfs,ls_evo,vel_ext,φh; + γ=γ_evo,verbose=true,constraint_names=[:Vol],converged,has_oscillations,Λ_update_tol=0) +for (it,(uh,ph,dh),φh) in optimiser + GC.gc() + if iszero(it % iter_mod) + writevtk(Ω_act,path*"Omega_act_$it", + cellfields=["φ"=>φh,"|∇(φ)|"=>(norm ∘ ∇(φh)),"uh"=>uh,"ph"=>ph,"dh"=>dh]) + writevtk(Ω.Ωf,path*"Omega_f_$it", + cellfields=["uh"=>uh,"ph"=>ph,"dh"=>dh]) + writevtk(Ω.Ωs,path*"Omega_s_$it", + cellfields=["uh"=>uh,"ph"=>ph,"dh"=>dh]) + writevtk(Ω.Γ,path*"Gamma_$it",cellfields=["σ⋅n"=>(σ ∘ ε(dh))⋅Ω.n_Γ,"σf_n"=>σf_n(uh,ph,φh)]) + end + write_history(path*"/history.txt",optimiser.history) +end +it = get_history(optimiser).niter; uh,ph,dh = get_state(pcfs) +writevtk(Ω_act,path*"Omega_act_$it", + cellfields=["φ"=>φh,"|∇(φ)|"=>(norm ∘ ∇(φh)),"uh"=>uh,"ph"=>ph,"dh"=>dh]) +writevtk(Ω.Ωf,path*"Omega_f_$it", + cellfields=["uh"=>uh,"ph"=>ph,"dh"=>dh]) +writevtk(Ω.Ωs,path*"Omega_s_$it", + cellfields=["uh"=>uh,"ph"=>ph,"dh"=>dh]) +writevtk(Ω.Γ,path*"Gamma_$it",cellfields=["σ⋅n"=>(σ ∘ ε(dh))⋅Ω.n_Γ,"σf_n"=>σf_n(uh,ph,φh)]) \ No newline at end of file diff --git a/scripts/Embedded/Examples/fsi/gmsh/GMSH_TO-6-Brinkmann_stokes_P2-P1_Ersatz_elast_fsi.jl b/scripts/Embedded/Examples/fsi/gmsh/GMSH_TO-6-Brinkmann_stokes_P2-P1_Ersatz_elast_fsi.jl index 6452a72..f369798 100644 --- a/scripts/Embedded/Examples/fsi/gmsh/GMSH_TO-6-Brinkmann_stokes_P2-P1_Ersatz_elast_fsi.jl +++ b/scripts/Embedded/Examples/fsi/gmsh/GMSH_TO-6-Brinkmann_stokes_P2-P1_Ersatz_elast_fsi.jl @@ -3,31 +3,8 @@ using GridapEmbedded, GridapEmbedded.LevelSetCutters using GridapGmsh using GridapTopOpt -function get_element_sizes(model,f=min) - coords = get_cell_coordinates(model) - polys = get_polytopes(model) - @assert length(polys) == 1 "Only one cell type is currently supported" - return _get_element_sizes(f,coords,first(polys)) -end - -function _get_element_sizes(f,coords,::Polytope{2}) - function _get_tri_side_lengths(cell_coords) - p1 = cell_coords[1] - p2 = cell_coords[2] - p3 = cell_coords[3] - return norm(p1-p2), norm(p1-p3), norm(p2-p3) - end - side_lengths = lazy_map(_get_tri_side_lengths,coords) - return lazy_map(t->f(t...),side_lengths) -end - ############# -# TODO: -# 1. Update UnfittedEvolution to allow CellField h -# 2. Check Line 212 of AugmentedLagrangian.jl -# 3. Check Dirichlet values of shape derivative β in CutFEMEvolve.jl - path = "./results/GMSH-TO-6-Brinkmann_stokes_P2-P1_Ersatz_elast_fsi/results/" mkpath(path) @@ -50,9 +27,8 @@ b = 0.01; model = GmshDiscreteModel((@__DIR__)*"/mesh.msh") writevtk(model,path*"model") -h = minimum(get_element_sizes(model)) Ω_act = Triangulation(model) -hₕ = CellField(get_element_sizes(model),Ω_act) # TODO: Line 83 - UnfittedEvolution.jl +hₕ = CellField(get_element_sizes(model),Ω_act) # Cut the background model reffe_scalar = ReferenceFE(lagrangian,Float64,1) @@ -60,10 +36,11 @@ V_φ = TestFESpace(model,reffe_scalar) V_reg = TestFESpace(model,reffe_scalar;dirichlet_tags=["Omega_NonDesign","Gamma_s_D"]) U_reg = TrialFESpace(V_reg) +_e = 1e-3 f0((x,y),W,H) = max(2/W*abs(x-x0),1/(H/2+1)*abs(y-H/2+1))-1 f1((x,y),q,r) = - cos(q*π*x)*cos(q*π*y)/q - r/q -fin(x) = f0(x,l,a) -fsolid(x) = min(f0(x,l,b),f0(x,w,a)) +fin(x) = f0(x,l*(1+5_e),a*(1+5_e)) +fsolid(x) = min(f0(x,l*(1+_e),b*(1+_e)),f0(x,w*(1+_e),a*(1+_e))) fholes((x,y),q,r) = max(f1((x,y),q,r),f1((x-1/q,y),q,r)) φf(x) = min(max(fin(x),fholes(x,22,0.6)),fsolid(x)) φh = interpolate(φf,V_φ) @@ -139,7 +116,7 @@ b_Ω(v,p) = - (∇⋅v)*p a_fluid((u,p),(v,q)) = ∫( a_Ω(u,v)+b_Ω(u,q)+b_Ω(v,p)) * Ω.dΩf + - ∫( a_Ω(u,v)+b_Ω(u,q)+b_Ω(v,p) + (γ/h)*u⋅v ) * Ω.dΩs + ∫( a_Ω(u,v)+b_Ω(u,q)+b_Ω(v,p) + (γ/hₕ)*u⋅v ) * Ω.dΩs ## Structure # Stabilization and material parameters @@ -175,8 +152,8 @@ state_map = AffineFEStateMap(a_coupled,l_coupled,X,Y,V_φ,U_reg,φh) pcfs = PDEConstrainedFunctionals(J_comp,[Vol],state_map) ## Evolution Method -evo = CutFEMEvolve(V_φ,Ω,dΩ_act,h;max_steps) -reinit = StabilisedReinit(V_φ,Ω,dΩ_act,h;stabilisation_method=ArtificialViscosity(3.0)) +evo = CutFEMEvolve(V_φ,Ω,dΩ_act,hₕ;max_steps) +reinit = StabilisedReinit(V_φ,Ω,dΩ_act,hₕ;stabilisation_method=ArtificialViscosity(3.0)) ls_evo = UnfittedFEEvolution(evo,reinit) ## Hilbertian extension-regularisation problems @@ -196,7 +173,7 @@ function has_oscillations(m,os_it) all(@.(abs(history[:C,it]) < 0.05vf)) && GridapTopOpt.default_has_oscillations(m,os_it) end optimiser = AugmentedLagrangian(pcfs,ls_evo,vel_ext,φh; - γ=γ_evo,verbose=true,constraint_names=[:Vol],converged,has_oscillations) + γ=γ_evo,verbose=true,constraint_names=[:Vol],converged,has_oscillations,Λ_update_tol=0) for (it,(uh,ph,dh),φh) in optimiser GC.gc() if iszero(it % iter_mod) diff --git a/scripts/Embedded/Examples/fsi/gmsh/mesh.geo b/scripts/Embedded/Examples/fsi/gmsh/mesh.geo index 9e62cff..8233c14 100644 --- a/scripts/Embedded/Examples/fsi/gmsh/mesh.geo +++ b/scripts/Embedded/Examples/fsi/gmsh/mesh.geo @@ -109,3 +109,4 @@ Physical Point("Gamma_s_D", 30) = {2, 3}; //+ Physical Surface("Omega_NonDesign", 31) = {6}; Physical Curve("Omega_NonDesign", 32) = {17, 18, 19, 20, 16, 15, 21}; +Physical Point("Omega_NonDesign", 33) = {11, 12, 13, 14, 15, 16}; diff --git a/scripts/Embedded/Examples/fsi/gmsh/mesh.msh b/scripts/Embedded/Examples/fsi/gmsh/mesh.msh index 9aa5c3d..5f6ac0f 100644 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8089 8175 7923 +16825 7923 8175 8120 +16826 7888 8160 8157 +16827 8155 8160 7846 +16828 8089 8192 7791 +16829 8120 8175 7841 +16830 8156 8161 73 +16831 8157 8168 7887 +16832 440 8198 8159 +16833 8158 8197 633 +$EndElements diff --git a/src/GridapTopOpt.jl b/src/GridapTopOpt.jl index 55ef75a..e4899dc 100644 --- a/src/GridapTopOpt.jl +++ b/src/GridapTopOpt.jl @@ -65,6 +65,8 @@ export SmoothErsatzMaterialInterpolation export update_labels! export initial_lsf export get_el_Δ +export get_cartesian_element_sizes +export get_element_sizes export isotropic_elast_tensor include("LevelSetEvolution/LevelSetEvolution.jl") diff --git a/src/LevelSetEvolution/UnfittedEvolution/CutFEMEvolve.jl b/src/LevelSetEvolution/UnfittedEvolution/CutFEMEvolve.jl index b85ca7b..4be4e1f 100644 --- a/src/LevelSetEvolution/UnfittedEvolution/CutFEMEvolve.jl +++ b/src/LevelSetEvolution/UnfittedEvolution/CutFEMEvolve.jl @@ -10,7 +10,7 @@ Burman et al. (2017). DOI: `10.1016/j.cma.2017.09.005`. - `dΩ_bg::C`: Measure for integration - `space::B`: Level-set FE space - `assembler::Assembler`: FE assembler -- `params::D`: Tuple of stabilisation parameter `γg`, mesh size `h`, and +- `params::D`: Tuple of stabilisation parameter `γg`, mesh sizes `h`, and max steps `max_steps`, and background mesh skeleton parameters - `cache`: Cache for evolver, initially `nothing`. @@ -36,7 +36,8 @@ mutable struct CutFEMEvolve{A,B,C} <: Evolver Γg = SkeletonTriangulation(get_triangulation(V_φ)) dΓg = Measure(Γg,2get_order(V_φ)) n_Γg = get_normal_vector(Γg) - params = (;γg,h,max_steps,dΓg,n_Γg) + hmin = _get_minimum_element_diameter(h) + params = (;γg,h,hmin,max_steps,dΓg,n_Γg) new{A,B,typeof(params)}(ode_solver,Ωs,dΩ_bg,V_φ,assembler,params,nothing) end end @@ -46,6 +47,7 @@ get_assembler(s::CutFEMEvolve) = s.assembler get_space(s::CutFEMEvolve) = s.space get_measure(s::CutFEMEvolve) = s.dΩ_bg get_params(s::CutFEMEvolve) = s.params +get_element_sizes(s::CutFEMEvolve) = s.params.h get_cache(s::CutFEMEvolve) = s.cache function get_transient_operator(φh,velh,s::CutFEMEvolve) @@ -54,9 +56,9 @@ function get_transient_operator(φh,velh,s::CutFEMEvolve) ϵ = 1e-20 v_norm = maximum(abs,get_free_dof_values(velh)) - β = velh/(ϵ + v_norm) * ∇(φh)/(ϵ + norm ∘ ∇(φh)) + β(vh,∇φ) = vh/(ϵ + v_norm) * ∇φ/(ϵ + norm(∇φ)) - stiffness(t,u,v) = ∫((β ⋅ ∇(u)) * v)dΩ_bg + ∫(γg*h^2*jump(∇(u) ⋅ n_Γg)*jump(∇(v) ⋅ n_Γg))dΓg + stiffness(t,u,v) = ∫(((β ∘ (velh,∇(φh))) ⋅ ∇(u)) * v)dΩ_bg + ∫(γg*h^2*jump(∇(u) ⋅ n_Γg)*jump(∇(v) ⋅ n_Γg))dΓg mass(t, ∂ₜu, v) = ∫(∂ₜu * v)dΩ_bg forcing(t,v) = ∫(0v)dΩ_bg + ∫(0*jump(∇(v) ⋅ n_Γg))dΓg # Second term is added to address the following issue: @@ -90,10 +92,10 @@ end function solve!(s::CutFEMEvolve,φh,velh,γ,cache::Nothing) ode_solver = get_ode_solver(s) params = get_params(s) - h, max_steps = params.h, params.max_steps + hmin, max_steps = params.hmin, params.max_steps # Setup FE operator and solver - ode_solver.dt = γ*h + ode_solver.dt = γ*hmin ode_op = get_transient_operator(φh,velh,s) ode_sol = solve(ode_solver,ode_op,0.0,ode_solver.dt*max_steps,φh) @@ -118,14 +120,14 @@ end function solve!(s::CutFEMEvolve,φh,velh,γ,cache) ode_solver = get_ode_solver(s) params = get_params(s) - h, max_steps = params.h, params.max_steps + hmin, max_steps = params.hmin, params.max_steps ## Update state # `get_transient_operator` re-creates the entire TransientLinearFEOperator wrapper. # We do this so that the first iterate of ODESolution always recomputes the # stiffness matrix and associated the Jacboian, numerical setups, etc via # `constant_forms = (false,true)`. - ode_solver.dt = γ*h + ode_solver.dt = γ*hmin ode_op = get_transient_operator(φh,velh,s) # Between the first iterate and subsequent iterates we use the function # `update_reuse!` to update the iterator state so that we re-use diff --git a/src/LevelSetEvolution/UnfittedEvolution/StabilisedReinit.jl b/src/LevelSetEvolution/UnfittedEvolution/StabilisedReinit.jl index 34d05b2..6185d2d 100644 --- a/src/LevelSetEvolution/UnfittedEvolution/StabilisedReinit.jl +++ b/src/LevelSetEvolution/UnfittedEvolution/StabilisedReinit.jl @@ -64,6 +64,7 @@ get_space(s::StabilisedReinit) = s.space get_embedded_collection(s::StabilisedReinit) = s.Ωs get_measure(s::StabilisedReinit) = s.dΩ_bg get_params(s::StabilisedReinit) = s.params +get_element_sizes(s::StabilisedReinit) = s.params.h get_cache(s::StabilisedReinit) = s.cache function solve!(s::StabilisedReinit,φh,nls_cache::Nothing) diff --git a/src/LevelSetEvolution/UnfittedEvolution/UnfittedEvolution.jl b/src/LevelSetEvolution/UnfittedEvolution/UnfittedEvolution.jl index 31315a1..db8c4af 100644 --- a/src/LevelSetEvolution/UnfittedEvolution/UnfittedEvolution.jl +++ b/src/LevelSetEvolution/UnfittedEvolution/UnfittedEvolution.jl @@ -37,9 +37,17 @@ end Wrapper for unfitted evolution and reinitialisation methods. """ -struct UnfittedFEEvolution{A<:Evolver,B<:Reinitialiser} <: LevelSetEvolution +struct UnfittedFEEvolution{A<:Evolver,B<:Reinitialiser,C<:Real} <: LevelSetEvolution evolver::A reinitialiser::B + min_element_diameter::C + function UnfittedFEEvolution(evolver::A,reinitialiser::B) where {A,B} + h_evo = get_element_sizes(evolver) + h_reinit = get_element_sizes(reinitialiser) + @assert h_evo === h_reinit "Element sizes for evolution and reinitialisation should be the same." + min_element_diameter = _get_minimum_element_diameter(h_evo) + new{A,B,typeof(min_element_diameter)}(evolver,reinitialiser,min_element_diameter) + end end function evolve!(s::UnfittedFEEvolution,φ::T,vel::M,γ,args...) where @@ -80,13 +88,33 @@ function reinit!(s::UnfittedFEEvolution,φh,args...) return get_free_dof_values(φh) end -# TODO: Allow for CellField hₕ, we would then rename get_dof_Δ to get_minimum_dof_Δ, and leave get_dof_Δ as deprecated function get_dof_Δ(s::UnfittedFEEvolution) V_φ = get_space(s.evolver) - _,h,_ = get_params(s.evolver) - return h/get_order(V_φ) + hmin = s.min_element_diameter + return hmin/get_order(V_φ) end +## Helpers +function _get_minimum_element_diameter(h::CellField) + h_data = lazy_map(_get_value,get_data(h)) + return minimum(h_data) +end + +_get_minimum_element_diameter(h::Real) = h + +function _get_minimum_element_diameter(h) + @notimplemented +end + +function _get_value(t::Gridap.CellData.ConstantField) + return t.value +end + +function _get_value(::Gridap.Fields.Field) + Gridap.Helpers.@notimplemented "Only ConstantField is currently supported" +end + +## include("CutFEMEvolve.jl") include("StabilisedReinit.jl") include("MutableRungeKutta.jl") \ No newline at end of file diff --git a/src/Optimisers/AugmentedLagrangian.jl b/src/Optimisers/AugmentedLagrangian.jl index d971256..d7d5832 100644 --- a/src/Optimisers/AugmentedLagrangian.jl +++ b/src/Optimisers/AugmentedLagrangian.jl @@ -38,7 +38,7 @@ struct AugmentedLagrangian <: Optimiser vel_ext :: VelocityExtension, φ0; Λ_max = 10^10, ζ = 1.1, update_mod = 5, γ = 0.1, γ_reinit = 0.5, os_γ_mult = 0.75, - maxiter = 1000, verbose=false, constraint_names = map(i -> Symbol("C_\$i"),1:N), + Λ_update_tol = 0.01,maxiter = 1000, verbose=false, constraint_names = map(i -> Symbol("C_\$i"),1:N), converged::Function = default_al_converged, debug = false, has_oscillations::Function = default_has_oscillations ) where {N,O} @@ -58,7 +58,7 @@ struct AugmentedLagrangian <: Optimiser - `γ = 0.1`: Initial coeffient on the time step size for solving the Hamilton-Jacobi evolution equation. - `γ_reinit = 0.5`: Coeffient on the time step size for solving the reinitisation equation. - `ζ = 1.1`: Increase multiplier on Λ every `update_mod` iterations. - - `Λ_max = 5.0`: Maximum value on any entry in Λ. + - `Λ_max = 10^10`: Maximum value on any entry in Λ. - `update_mod = 5`: Number of iterations before increasing `Λ`. - `reinit_mod = 1`: How often we solve reinitialisation equation. - `maxiter = 1000`: Maximum number of algorithm iterations. @@ -69,6 +69,9 @@ struct AugmentedLagrangian <: Optimiser - `initial_parameters::Function = default_al_init_params`: Function to generate initial λ, Λ. This can be replaced to inject different λ and Λ, for example. - `os_γ_mult = 0.75`: Decrease multiplier for `γ` when `has_oscillations` returns true + - `Λ_update_tol = 0.01`: Tolerance of constraint satisfaction for updating Λ. In our testing, this + is usually set to 0.01. Some problems, may perform better with a stricter tolerance (e.g., + 0.001 or 0.0 to always update). - `converged::Function = default_hp_converged`: Convergence criteria. - `debug = false`: Debug flag. """ @@ -78,7 +81,7 @@ struct AugmentedLagrangian <: Optimiser vel_ext :: VelocityExtension, φ0; Λ_max = 10^10, ζ = 1.1, update_mod = 5, reinit_mod = 1, γ = 0.1, γ_reinit = 0.5, - os_γ_mult = 0.75, maxiter = 1000, verbose=false, constraint_names = map(i -> Symbol("C_$i"),1:N), + os_γ_mult = 0.75, Λ_update_tol = 0.01, maxiter = 1000, verbose=false, constraint_names = map(i -> Symbol("C_$i"),1:N), converged::Function = default_al_converged, debug = false, has_oscillations::Function = default_has_oscillations, initial_parameters::Function = default_al_init_params @@ -91,7 +94,7 @@ struct AugmentedLagrangian <: Optimiser al_bundles = Dict(:C => constraint_names, :λ => λ_names, :Λ => Λ_names) history = OptimiserHistory(Float64,al_keys,al_bundles,maxiter,verbose) - params = (;Λ_max,ζ,update_mod,reinit_mod,γ,γ_reinit,os_γ_mult,debug,initial_parameters) + params = (;Λ_max,ζ,update_mod,reinit_mod,γ,γ_reinit,os_γ_mult,Λ_update_tol,debug,initial_parameters) new(problem,ls_evolver,vel_ext,history,converged,has_oscillations,params,φ0) end end @@ -174,7 +177,7 @@ end function Base.iterate(m::AugmentedLagrangian,state) it, L, J, C, dL, dJ, dC, uh, φh, vel, λ, Λ, γ, os_it = state params, history = m.params, m.history - Λ_max,ζ,update_mod,reinit_mod,_,γ_reinit,os_γ_mult,_,_ = params + Λ_max,ζ,update_mod,reinit_mod,_,γ_reinit,os_γ_mult,Λ_update_tol,_,_ = params ## Periodicially call GC iszero(it % 50) && GC.gc(); @@ -209,9 +212,9 @@ function Base.iterate(m::AugmentedLagrangian,state) λ .= λ .- Λ .* C if iszero(it % update_mod) for i = 1:length(C) - # if abs(C[i])>0.01 # TODO: This is an algorithmic change that requires us to re-run all jobs + if abs(C[i])>Λ_update_tol Λ[i] = min(Λ[i]*ζ,Λ_max) - # end + end end end diff --git a/src/Utilities.jl b/src/Utilities.jl index 1528eb8..4fa14c9 100644 --- a/src/Utilities.jl +++ b/src/Utilities.jl @@ -69,7 +69,7 @@ end """ update_labels!(e::Int,model,f_Γ::Function,name::String) -Given a tag number `e`, a `DiscreteModel` model, an indicator function `f_Γ`, +Given a tag number `e`, a `DiscreteModel` model, an indicator function `f_Γ`, and a string `name`, label the corresponding vertices, edges, and faces as `name`. @@ -162,22 +162,24 @@ where x is a vector with components xᵢ. initial_lsf(ξ,a;b=0) = x::VectorValue -> -1/4*prod(cos.(get_array(@.(ξ*pi*(x-b))))) - a/4 """ - get_el_Δ(model) + get_cartesian_element_sizes(model) Given a CartesianDiscreteModel return the element size as a tuple. """ -function get_el_Δ(model::CartesianDiscreteModel) +function get_cartesian_element_sizes(model::CartesianDiscreteModel) desc = get_cartesian_descriptor(model) return desc.sizes end -function get_el_Δ(model::DistributedDiscreteModel) +function get_cartesian_element_sizes(model::DistributedDiscreteModel) local_Δ = map(local_views(model)) do model - get_el_Δ(model) + get_cartesian_element_sizes(model) end return getany(local_Δ) end +const get_el_Δ = get_cartesian_element_sizes + """ isotropic_elast_tensor(D::Int,E::M,v::M) @@ -240,4 +242,46 @@ end function get_order(space::DistributedFESpace) order = map(get_order,local_views(space)) return getany(order) +end + +# Element size for general model + +""" + get_element_sizes(model) + +Given a general model return the element size as a lazy map of minimum (by default) +side length sizes. +""" +function get_element_sizes(model,f=min) + coords = get_cell_coordinates(model) + polys = get_polytopes(model) + @assert length(polys) == 1 "Only one cell type is currently supported" + return _get_element_sizes(f,coords,first(polys)) +end + +function _get_tri_side_lengths(cell_coords) + p1 = cell_coords[1] + p2 = cell_coords[2] + p3 = cell_coords[3] + return norm(p1-p2), norm(p1-p3), norm(p2-p3) +end + +function _get_tet_side_lengths(cell_coords) + p1 = cell_coords[1] + p2 = cell_coords[2] + p3 = cell_coords[3] + p4 = cell_coords[4] + return norm(p1-p2), norm(p1-p3), norm(p2-p3), + norm(p1-p4), norm(p2-p4), norm(p3-p4) +end + +function _get_element_sizes(f,coords,poly::Polytope) + if poly == TRI + side_lengths = lazy_map(_get_tri_side_lengths,coords) + elseif poly == TET + side_lengths = lazy_map(_get_tet_side_lengths,coords) + else + @notimplemented "Only triangles and tetrahedra are currently supported" + end + return lazy_map(t->f(t...),side_lengths) end \ No newline at end of file