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annotate test/SbpOperators/volumeops/derivatives/first_derivative_test.jl @ 978:1a05009e731b feature/first_derivative

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Add tests for constructors
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 15 Mar 2022 21:17:58 +0100
parents ba023fc09961
children b90446eb5f27
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1 using Test
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978
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4 using Sbplib.SbpOperators
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5 using Sbplib.Grids
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6 using Sbplib.LazyTensors
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8 using Sbplib.SbpOperators: closure_size, Stencil
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9
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10 """
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11 monomial(x,k)
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12
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13 Evaluates ``x^k/k!` with the convetion that it is ``0`` for all ``k<0``.
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14 Has the property that ``d/dx monomial(x,k) = monomial(x,k-1)``
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15 """
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16 function monomial(x,k)
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17 if k < 0
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18 return zero(x)
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19 end
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20 x^k/factorial(k)
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21 end
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22
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23 @testset "first_derivative" begin
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24 @testset "Constructors" begin
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25 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2)
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26
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27 g₁ = EquidistantGrid(11, 0., 1.)
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28 g₂ = EquidistantGrid((11,14), (0.,1.), (1.,3.))
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29
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30 @test first_derivative(g₁, stencil_set, 1) isa TensorMapping{Float64,1,1}
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31 @test first_derivative(g₂, stencil_set, 2) isa TensorMapping{Float64,2,2}
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32
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33 interior_stencil = CenteredStencil(-1,0,1)
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34 closure_stencils = [Stencil(-1,1, center=1)]
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35
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36 @test first_derivative(g₁, interior_stencil, closure_stencils, 1) isa TensorMapping{Float64,1,1}
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37 @test first_derivative(g₂, interior_stencil, closure_stencils, 2) isa TensorMapping{Float64,2,2}
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38 end
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40 @testset "Accuracy" begin
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41 N = 20
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42 g = EquidistantGrid(N, 0//1,2//1)
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43 @testset for order ∈ [2,4]
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44 stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order)
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45 D₁ = first_derivative(g, stencil_set, 1)
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46
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47 @testset "boundary x^$k" for k ∈ 0:order÷2
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48 v = evalOn(g, x->monomial(x,k))
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49
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50 @testset for i ∈ 1:closure_size(D₁)
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51 x, = points(g)[i]
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52 @test (D₁*v)[i] == monomial(x,k-1)
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53 end
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55 @testset for i ∈ (N-closure_size(D₁)+1):N
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56 x, = points(g)[i]
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57 @test (D₁*v)[i] == monomial(x,k-1)
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58 end
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59 end
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60
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61 @testset "interior x^$k" for k ∈ 0:order
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62 v = evalOn(g, x->monomial(x,k))
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63
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64 x, = points(g)[10]
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65 @test (D₁*v)[10] == monomial(x,k-1)
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66 end
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67 end
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68 end
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69 end
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