Mercurial > repos > public > sbplib_julia

annotate src/SbpOperators/volumeops/derivatives/first_derivative.jl @ 1099:05a25a5063bb refactor/sbpoperators/inflation

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Try to remove volume_operator and boundary_operator methods
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 21 Mar 2022 12:51:39 +0100
parents 1ba8a398af9c
children 157a78959e5d
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
1 """
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2 first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
3
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
4 Creates the first-derivative operator `D1` as a `LazyTensor`
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
6 `D1` approximates the first-derivative d/dξ on `grid` along the coordinate dimension specified by
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
7 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
8 for the points in the closure regions.
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
9
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
10 On a one-dimensional `grid`, `D1` is a `VolumeOperator`. On a multi-dimensional `grid`, `D1` is the outer product of the
995
1ba8a398af9c Rename types
Jonatan Werpers <jonatan@werpers.com>
parents: 974
diff changeset
11 one-dimensional operator with the `IdentityTensor`s in orthogonal coordinate dirrections.
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
12
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
13 See also: [`volume_operator`](@ref).
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
14 """
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
15 function first_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
16 h_inv = inverse_spacing(grid)[direction]
1099
05a25a5063bb Try to remove volume_operator and boundary_operator methods
Jonatan Werpers <jonatan@werpers.com>
parents: 995
diff changeset
17
05a25a5063bb Try to remove volume_operator and boundary_operator methods
Jonatan Werpers <jonatan@werpers.com>
parents: 995
diff changeset
18 D₁ = VolumeOperator(restrict(grid, direction), scale(inner_stencil,h_inv), scale.(closure_stencils,h_inv), odd)
05a25a5063bb Try to remove volume_operator and boundary_operator methods
Jonatan Werpers <jonatan@werpers.com>
parents: 995
diff changeset
19 return LazyTensors.inflate(D₁, size(grid), direction)
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
20 end
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
21 first_derivative(grid::EquidistantGrid{1}, inner_stencil::Stencil, closure_stencils) = first_derivative(grid,inner_stencil,closure_stencils,1)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
22
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
23 """
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
24 first_derivative(grid, stencil_set, direction)
972
803f60f461c1 Start adding the first derivative
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
25
974
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
26 Creates a `first_derivative` operator on `grid` along coordinate dimension `direction` given a parsed TOML
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
27 `stencil_set`.
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
28 """
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
29 function first_derivative(grid::EquidistantGrid, stencil_set, direction)
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
30 inner_stencil = parse_stencil(stencil_set["D1"]["inner_stencil"])
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
31 closure_stencils = parse_stencil.(stencil_set["D1"]["closure_stencils"])
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
32 first_derivative(grid,inner_stencil,closure_stencils,direction);
ba023fc09961 Add stencil_set method and accuracy tests
Jonatan Werpers <jonatan@werpers.com>
parents: 972
diff changeset
33 end