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annotate test/SbpOperators/volumeops/derivatives/first_derivative_test.jl @ 974:ba023fc09961 feature/first_derivative

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Add stencil_set method and accuracy tests
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 15 Mar 2022 07:29:41 +0100
parents 803f60f461c1
children 1a05009e731b
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1 using Test
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2
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3 using Sbplib.SbpOperators
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4 using Sbplib.Grids
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5
974
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6 using Sbplib.SbpOperators: closure_size
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7
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8 """
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9 monomial(x,k)
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10
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11 Evaluates ``x^k/k!` with the convetion that it is ``0`` for all ``k<0``.
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12 Has the property that ``d/dx monomial(x,k) = monomial(x,k-1)``
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13 """
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14 function monomial(x,k)
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15 if k < 0
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16 return zero(x)
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17 end
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18 x^k/factorial(k)
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19 end
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20
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21 @testset "first_derivative" begin
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22 @testset "accuracy" begin
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23 N = 20
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24 g = EquidistantGrid(N, 0//1,2//1)
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25 @testset for order ∈ [2,4]
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26 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
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27 D₁ = first_derivative(g, stencil_set, 1)
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28
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29 @testset "boundary accuracy $k" for k ∈ 0:order÷2
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30 v = evalOn(g, x->monomial(x,k))
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31
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32 @testset for i ∈ 1:closure_size(D₁)
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33 x, = points(g)[i]
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34 @test (D₁*v)[i] == monomial(x,k-1)
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35 end
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37 @testset for i ∈ (N-closure_size(D₁)+1):N
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38 x, = points(g)[i]
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39 @test (D₁*v)[i] == monomial(x,k-1)
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40 end
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41 end
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42
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43 @testset "interior accuracy $k" for k ∈ 0:order
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44 v = evalOn(g, x->monomial(x,k))
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45
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46 x, = points(g)[10]
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47 @test (D₁*v)[10] == monomial(x,k-1)
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48 end
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49 end
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50 end
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51 end
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