view test/SbpOperators/boundaryops/boundary_restriction_test.jl @ 1652:65b2d2c72fbc feature/sbp_operators/laplace_curvilinear

Add boundary restriction operator for mapped grid
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 26 Jun 2024 12:54:29 +0200
parents 43aaf710463e
children f3d7e2d7a43f
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using Test

using Sbplib.SbpOperators
using Sbplib.Grids
using Sbplib.LazyTensors
using Sbplib.RegionIndices
using Sbplib.SbpOperators: BoundaryOperator, Stencil

using StaticArrays

@testset "boundary_restriction" begin
	stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order = 4)
	e_closure = parse_stencil(stencil_set["e"]["closure"])
    g_1D = equidistant_grid(0.0, 1.0, 11)
    g_2D = equidistant_grid((0.0, 0.0), (1.0,1.0), 11, 15)

    @testset "boundary_restriction" begin
        @testset "1D" begin
            e_l = boundary_restriction(g_1D,stencil_set,Lower())
            @test e_l == BoundaryOperator(g_1D,Stencil{Float64}(e_closure),Lower())
            @test e_l isa BoundaryOperator{T,Lower} where T
            @test e_l isa LazyTensor{T,0,1} where T

            e_r = boundary_restriction(g_1D,stencil_set,Upper())
            @test e_r == BoundaryOperator(g_1D,Stencil{Float64}(e_closure),Upper())
            @test e_r isa BoundaryOperator{T,Upper} where T
            @test e_r isa LazyTensor{T,0,1} where T
        end

        @testset "2D" begin
            e_w = boundary_restriction(g_2D,stencil_set,CartesianBoundary{1,Upper}())
            @test e_w isa InflatedTensor
            @test e_w isa LazyTensor{T,1,2} where T
        end
    end

    @testset "Application" begin
        @testset "EquidistantGrid" begin
            e_l, e_r = boundary_restriction.(Ref(g_1D), Ref(stencil_set), boundary_identifiers(g_1D))
            v = eval_on(g_1D,x->1+x^2)
            u = fill(3.124)

            @test (e_l*v)[] == v[1]
            @test (e_r*v)[] == v[end]
            @test (e_r*v)[1] == v[end]
        end

        @testset "TensorGrid" begin
            e_w, e_e, e_s, e_n = boundary_restriction.(Ref(g_2D), Ref(stencil_set), boundary_identifiers(g_2D))
            v = rand(11, 15)
            u = fill(3.124)

            @test e_w*v == v[1,:]
            @test e_e*v == v[end,:]
            @test e_s*v == v[:,1]
            @test e_n*v == v[:,end]
       end

       @testset "MappedGrid" begin
            c = Chart(unitsquare()) do (ξ,η)
                @SVector[2ξ + η*(1-η), 3η+(1+η/2)*ξ^2]
            end
            Grids.jacobian(c::typeof(c), (ξ,η)) = @SMatrix[2 1-2η; (2+η)*ξ 3+ξ^2/2]

            mg = equidistant_grid(c, 10,13)

            e_w, e_e, e_s, e_n = boundary_restriction.(Ref(mg), Ref(stencil_set), boundary_identifiers(mg))
            v = rand(10, 13)

            @test e_w*v == v[1,:]
            @test e_e*v == v[end,:]
            @test e_s*v == v[:,1]
            @test e_n*v == v[:,end]
       end
    end
end