--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test/SbpOperators/volumeops/derivatives/dissipation_test.jl	Fri Feb 10 08:36:56 2023 +0100
@@ -0,0 +1,217 @@
+using Test
+
+using Sbplib.SbpOperators
+using Sbplib.Grids
+using Sbplib.LazyTensors
+
+using Sbplib.SbpOperators: Stencil
+
+using Sbplib.SbpOperators: dissipation_interior_weights
+using Sbplib.SbpOperators: dissipation_interior_stencil, dissipation_transpose_interior_stencil
+using Sbplib.SbpOperators: midpoint, midpoint_transpose
+using Sbplib.SbpOperators: dissipation_lower_closure_size, dissipation_upper_closure_size
+using Sbplib.SbpOperators: dissipation_lower_closure_stencils,dissipation_upper_closure_stencils
+using Sbplib.SbpOperators: dissipation_transpose_lower_closure_stencils, dissipation_transpose_upper_closure_stencils
+
+"""
+    monomial(x,k)
+
+Evaluates ``x^k/k!` with the convetion that it is ``0`` for all ``k<0``.
+Has the property that ``d/dx monomial(x,k) = monomial(x,k-1)``
+"""
+function monomial(x,k)
+    if k < 0
+        return zero(x)
+    end
+    x^k/factorial(k)
+end
+
+@testset "undivided_skewed04" begin
+    g = EquidistantGrid(20, 0., 11.)
+    D,Dᵀ = undivided_skewed04(g, 1)
+
+    @test D isa LazyTensor{Float64,1,1}
+    @test Dᵀ isa LazyTensor{Float64,1,1}
+
+     @testset "Accuracy conditions" begin
+        N = 20
+        g = EquidistantGrid(N, 0//1,2//1)
+        h = only(spacing(g))
+        @testset "D_$p" for p ∈ [1,2,3,4]
+            D,Dᵀ = undivided_skewed04(g, p)
+
+            @testset "x^$k" for k ∈ 0:p
+                v  = evalOn(g, x->monomial(x,k))
+                vₚₓ = evalOn(g, x->monomial(x,k-p))
+
+                @test D*v == h^p * vₚₓ
+            end
+        end
+    end
+
+    @testset "transpose equality" begin
+        function get_matrix(D)
+            N = only(range_size(D))
+            M = only(domain_size(D))
+
+            Dmat = zeros(N,M)
+            e = zeros(M)
+            for i ∈ 1:M
+                if i > 1
+                    e[i-1] = 0.
+                end
+                e[i] = 1.
+                Dmat[:,i] = D*e
+            end
+
+            return Dmat
+        end
+
+        g = EquidistantGrid(11, 0., 1.)
+        @testset "D_$p" for p ∈ [1,2,3,4]
+            D,Dᵀ = undivided_skewed04(g, p)
+
+            D̄  = get_matrix(D)
+            D̄ᵀ = get_matrix(Dᵀ)
+
+            @test D̄ == D̄ᵀ'
+        end
+    end
+end
+
+@testset "dissipation_interior_weights" begin
+    @test dissipation_interior_weights(1) == (-1, 1)
+    @test dissipation_interior_weights(2) == (1,-2, 1)
+    @test dissipation_interior_weights(3) == (-1, 3,-3, 1)
+    @test dissipation_interior_weights(4) == (1, -4, 6, -4, 1)
+end
+
+@testset "dissipation_interior_stencil" begin
+    @test dissipation_interior_stencil(dissipation_interior_weights(1)) == Stencil(-1, 1, center=2)
+    @test dissipation_interior_stencil(dissipation_interior_weights(2)) == Stencil( 1,-2, 1, center=2)
+    @test dissipation_interior_stencil(dissipation_interior_weights(3)) == Stencil(-1, 3,-3, 1, center=3)
+    @test dissipation_interior_stencil(dissipation_interior_weights(4)) == Stencil( 1,-4, 6,-4, 1, center=3)
+end
+
+@testset "dissipation_transpose_interior_stencil" begin
+    @test dissipation_transpose_interior_stencil(dissipation_interior_weights(1)) == Stencil(1,-1, center=1)
+    @test dissipation_transpose_interior_stencil(dissipation_interior_weights(2)) == Stencil(1,-2, 1, center=2)
+    @test dissipation_transpose_interior_stencil(dissipation_interior_weights(3)) == Stencil(1,-3, 3,-1, center=2)
+    @test dissipation_transpose_interior_stencil(dissipation_interior_weights(4)) == Stencil(1,-4, 6,-4, 1, center=3)
+end
+
+@testset "midpoint" begin
+    @test midpoint((1,1)) == 2
+    @test midpoint((1,1,1)) == 2
+    @test midpoint((1,1,1,1)) == 3
+    @test midpoint((1,1,1,1,1)) == 3
+end
+
+@testset "midpoint_transpose" begin
+    @test midpoint_transpose((1,1)) == 1
+    @test midpoint_transpose((1,1,1)) == 2
+    @test midpoint_transpose((1,1,1,1)) == 2
+    @test midpoint_transpose((1,1,1,1,1)) == 3
+end
+
+@testset "dissipation_lower_closure_size" begin
+    @test dissipation_lower_closure_size((1,1)) == 1
+    @test dissipation_lower_closure_size((1,1,1)) == 1
+    @test dissipation_lower_closure_size((1,1,1,1)) == 2
+    @test dissipation_lower_closure_size((1,1,1,1,1)) == 2
+end
+
+@testset "dissipation_upper_closure_size" begin
+    @test dissipation_upper_closure_size((1,1)) == 0
+    @test dissipation_upper_closure_size((1,1,1)) == 1
+    @test dissipation_upper_closure_size((1,1,1,1)) == 1
+    @test dissipation_upper_closure_size((1,1,1,1,1)) == 2
+end
+
+@testset "dissipation_lower_closure_stencils" begin
+    cases = (
+        (-1,1) => (
+            Stencil(-1, 1, center=1),
+        ),
+        (1,-2,1) => (
+            Stencil( 1,-2, 1, center=1),
+        ),
+        (-1,3,-3,1) => (
+            Stencil(-1,3,-3,1, center=1),
+            Stencil(-1,3,-3,1, center=2),
+        ),
+        (1, -4, 6, -4, 1) => (
+            Stencil(1, -4, 6, -4, 1, center=1),
+            Stencil(1, -4, 6, -4, 1, center=2),
+        )
+    )
+    @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
+        @test dissipation_lower_closure_stencils(w) == closure_stencils
+    end
+end
+
+@testset "dissipation_upper_closure_stencils" begin
+    cases = (
+        (-1,1) => (),
+        (1,-2,1) => (
+            Stencil( 1,-2, 1, center=3),
+        ),
+        (-1,3,-3,1) => (
+            Stencil(-1,3,-3,1, center=4),
+        ),
+        (1, -4, 6, -4, 1) => (
+            Stencil(1, -4, 6, -4, 1, center=4),
+            Stencil(1, -4, 6, -4, 1, center=5),
+        )
+    )
+    @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
+        @test dissipation_upper_closure_stencils(w) == closure_stencils
+    end
+end
+
+
+@testset "dissipation_transpose_lower_closure_stencils" begin
+    cases = (
+        (-1,1) => (
+            Stencil(-1,-1, 0, center=1),
+            Stencil( 1, 1,-1, center=2),
+        ),
+        (1,-2,1) => (
+            Stencil( 1, 1, 0, 0, center=1),
+            Stencil(-2,-2, 1, 0, center=2),
+            Stencil( 1, 1,-2, 1, center=3),
+        ),
+        (-1,3,-3,1) => (
+            Stencil(-1,-1,-1, 0, 0, 0, center=1),
+            Stencil( 3, 3, 3,-1, 0, 0, center=2),
+            Stencil(-3,-3,-3, 3,-1, 0, center=3),
+            Stencil( 1, 1, 1,-3, 3,-1, center=4),
+        ),
+    )
+    @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
+        @test dissipation_transpose_lower_closure_stencils(w) == closure_stencils
+    end
+end
+
+@testset "dissipation_transpose_upper_closure_stencils" begin
+    cases = (
+        (-1,1) => (
+            Stencil( 1,-1, center = 1),
+            Stencil( 0, 1, center = 2),
+        ),
+        (1,-2,1) => (
+            Stencil( 1,-2, 1, 1, center=2),
+            Stencil( 0, 1,-2,-2, center=3),
+            Stencil( 0, 0, 1, 1, center=4),
+        ),
+        (-1,3,-3,1) => (
+            Stencil( 1,-3, 3,-1,-1, center=2),
+            Stencil( 0, 1,-3, 3, 3, center=3),
+            Stencil( 0, 0, 1,-3,-3, center=4),
+            Stencil( 0, 0, 0, 1, 1, center=5),
+        ),
+    )
+    @testset "interior_weights = $w" for (w, closure_stencils) ∈ cases
+        @test dissipation_transpose_upper_closure_stencils(w) == closure_stencils
+    end
+end