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comparison src/SbpOperators/volumeops/derivatives/second_derivative_variable.jl @ 2096:5af7534e5b3c feature/sbp_operators/laplace_curvilinear tip

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Merge default
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 02 Mar 2026 15:58:27 +0100
parents 3684db043add e21c295fb2da
children
comparison
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2082:87157cfca640 2096:5af7534e5b3c
1 """ 1 """
2 second_derivative_variable(g, coeff ..., [direction]) 2 second_derivative_variable(g, coeff, ..., [dim])
3 3
4 The variable second derivative operator as a `LazyTensor` on the given grid. 4 The variable second derivative operator as a `LazyTensor` on the given grid.
5 `coeff` is a grid function of the variable coefficient. 5 `coeff` is a grid function of the variable coefficient.
6 6
7 Approximates the d/dξ c d/dξ on `g` along the coordinate dimension specified 7 Approximates the d/dξ c d/dξ on `g` along the coordinate dimension specified
8 by `direction`. 8 by `dim`.
9 """ 9 """
10 function second_derivative_variable end 10 function second_derivative_variable end
11 11
12 function second_derivative_variable(g::TensorGrid, coeff, stencil_set, dir::Int) 12 function second_derivative_variable(g::TensorGrid, coeff, stencil_set, dim::Int)
13 if dim ∉ 1:ndims(g)
14 throw(DomainError(dim, "Derivative direction must be in 1:$(ndims(g))."))
15 end
13 inner_stencil = parse_nested_stencil(eltype(coeff), stencil_set["D2variable"]["inner_stencil"]) 16 inner_stencil = parse_nested_stencil(eltype(coeff), stencil_set["D2variable"]["inner_stencil"])
14 closure_stencils = parse_nested_stencil.(eltype(coeff), stencil_set["D2variable"]["closure_stencils"]) 17 closure_stencils = parse_nested_stencil.(eltype(coeff), stencil_set["D2variable"]["closure_stencils"])
15 18
16 return second_derivative_variable(g, coeff, inner_stencil, closure_stencils, dir) 19 return second_derivative_variable(g, coeff, inner_stencil, closure_stencils, dim)
17 end 20 end
18 21
19 function second_derivative_variable(g::EquidistantGrid, coeff, stencil_set) 22 function second_derivative_variable(g::EquidistantGrid, coeff, stencil_set)
20 return second_derivative_variable(TensorGrid(g), coeff, stencil_set, 1) 23 return second_derivative_variable(TensorGrid(g), coeff, stencil_set, 1)
21 end 24 end
22 25
23 function second_derivative_variable(g::TensorGrid, coeff, inner_stencil::NestedStencil, closure_stencils, dir) 26 function second_derivative_variable(g::EquidistantGrid, coeff, stencil_set, dim)
27 if dim != 1
28 throw(DomainError(dim, "Derivative direction must be 1."))
29 end
30 return second_derivative_variable(g, coeff, stencil_set)
31 end
32
33 function second_derivative_variable(g::TensorGrid, coeff, inner_stencil::NestedStencil, closure_stencils, dim)
24 check_coefficient(g, coeff) 34 check_coefficient(g, coeff)
25 35
26 Δxᵢ = spacing(g.grids[dir]) 36 Δxᵢ = spacing(g.grids[dim])
27 scaled_inner_stencil = scale(inner_stencil, 1/Δxᵢ^2) 37 scaled_inner_stencil = scale(inner_stencil, 1/Δxᵢ^2)
28 scaled_closure_stencils = scale.(Tuple(closure_stencils), 1/Δxᵢ^2) 38 scaled_closure_stencils = scale.(Tuple(closure_stencils), 1/Δxᵢ^2)
29 return SecondDerivativeVariable(coeff, scaled_inner_stencil, scaled_closure_stencils, dir) 39 return SecondDerivativeVariable(coeff, scaled_inner_stencil, scaled_closure_stencils, dim)
30 end 40 end
31 41
32 function check_coefficient(g, coeff) 42 function check_coefficient(g, coeff)
33 if ndims(g) != ndims(coeff) 43 if ndims(g) != ndims(coeff)
34 throw(ArgumentError("The coefficient has dimension $(ndims(coeff)) while the grid is dimension $(ndims(g))")) 44 throw(ArgumentError("The coefficient has dimension $(ndims(coeff)) while the grid is dimension $(ndims(g))"))