diff src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 986:3bceb4031753 feature/tensormapping_application_promotion

Merge default
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 16 Mar 2022 18:38:19 +0100
parents ba023fc09961
children 7bf3121c6864 1ba8a398af9c
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/SbpOperators/volumeops/derivatives/first_derivative.jl	Wed Mar 16 18:38:19 2022 +0100
@@ -0,0 +1,31 @@
+"""
+    first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
+
+Creates the first-derivative operator `D1` as a `TensorMapping`
+
+`D1` approximates the first-derivative d/dξ on `grid` along the coordinate dimension specified by
+`direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
+for the points in the closure regions.
+
+On a one-dimensional `grid`, `D1` is a `VolumeOperator`. On a multi-dimensional `grid`, `D1` is the outer product of the
+one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
+
+See also: [`volume_operator`](@ref).
+"""
+function first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
+    h_inv = inverse_spacing(grid)[direction]
+    return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv), scale.(closure_stencils,h_inv), odd, direction)
+end
+first_derivative(grid::EquidistantGrid{1}, inner_stencil::Stencil, closure_stencils) = first_derivative(grid,inner_stencil,closure_stencils,1)
+
+"""
+    first_derivative(grid, stencil_set, direction)
+
+Creates a `first_derivative` operator on `grid` along coordinate dimension `direction` given a parsed TOML
+`stencil_set`.
+"""
+function first_derivative(grid::EquidistantGrid, stencil_set, direction)
+    inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"])
+    closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"])
+    first_derivative(grid,inner_stencil,closure_stencils,direction);
+end