Mercurial > repos > public > sbplib_julia

annotate src/SbpOperators/volumeops/laplace/laplace.jl @ 924:12e8e431b43c feature/laplace_opset

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Start restructuring Laplace making it more minimal.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Mon, 21 Feb 2022 13:12:47 +0100
parents 0bf5952c240d
children 47425442bbc5
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
624
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
diff changeset
1 """
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
2 Laplace{T, DiffOp} <: TensorMapping{T,Dim,Dim}
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
3 Laplace(grid::Equidistant, stencil_set)
667
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
4
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
5 Implements the Laplace operator, approximating ∑d²/xᵢ² , i = 1,...,`Dim` as a
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
6 `TensorMapping`. Additionally `Laplace` stores the stencil set (parsed from TOML)
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
7 used to construct the `TensorMapping`.
667
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
8 """
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
9 struct Laplace{T, DiffOp<:TensorMapping{T,Dim,Dim}} <: TensorMapping{T,Dim,Dim}
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
10 D::DiffOp# Differential operator
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
11 stencil_set # Stencil set of the operator
667
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
12 end
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
13
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
14 """
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
15 `Laplace(grid::Equidistant, stencil_set)`
667
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
16
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
17 Creates the `Laplace`` operator `Δ` on `grid` given a parsed TOML
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
18 `stencil_set`. See also [`laplace`](@ref).
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
19 """
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
20 function Laplace(grid::Equidistant, stencil_set)
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
21 inner_stencil = parse_stencil(stencil_set["D2"]["inner_stencil"])
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
22 closure_stencils = parse_stencil.(stencil_set["D2"]["closure_stencils"])
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
23 Δ = laplace(grid, inner_stencil,closure_stencils)
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
24 return Laplace(Δ,stencil_set)
667
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
25 end
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
26
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
27 LazyTensors.range_size(L::Laplace) = LazyTensors.range_size(L.D)
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
28 LazyTensors.domain_size(L::Laplace) = LazyTensors.domain_size(L.D)
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
29 LazyTensors.apply(L::Laplace, v::AbstractArray, I...) = LazyTensors.apply(L.D,v,I...)
f3a0d1f7d842 Make Laplace a type storing relevant operators used when writing a scheme, e.g. quadratures, normal derivatives etc.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
30
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
31 # TODO: Implement pretty printing of Laplace once pretty printing of TensorMappings is implemented.
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
32 # Base.show(io::IO, L::Laplace) = ...
755
36adc15d3935 Reduce the number of type perameters used by Laplace.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 754
diff changeset
33
36adc15d3935 Reduce the number of type perameters used by Laplace.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 754
diff changeset
34 """
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
35 laplace(grid::EquidistantGrid, inner_stencil, closure_stencils)
624
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
diff changeset
36
648
d6edde60909b Fix typo in documentation and remove obsolete out-commented code.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 624
diff changeset
37 Creates the Laplace operator operator `Δ` as a `TensorMapping`
624
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
diff changeset
38
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
diff changeset
39 `Δ` approximates the Laplace operator ∑d²/xᵢ² , i = 1,...,`Dim` on `grid`, using
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
diff changeset
40 the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
diff changeset
41 for the points in the closure regions.
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
diff changeset
42
690
1accc3e051d0 Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
43 On a one-dimensional `grid`, `Δ` is equivalent to `second_derivative`. On a
1accc3e051d0 Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
44 multi-dimensional `grid`, `Δ` is the sum of multi-dimensional `second_derivative`s
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
45 where the sum is carried out lazily. See also [`second_derivative`](@ref).
624
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
diff changeset
46 """
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
47 function laplace(grid::Equidistant, inner_stencil, closure_stencils)
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
48 second_derivative(grid, inner_stencil, closure_stencils, 1)
820
b4acd25943f4 Remove some more types and type parameters
Jonatan Werpers <jonatan@werpers.com>
parents: 690
diff changeset
49 for d = 2:dimension(grid)
690
1accc3e051d0 Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
diff changeset
50 Δ += second_derivative(grid, inner_stencil, closure_stencils, d)
356
0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
parents: 333
diff changeset
51 end
611
e71f2f81b5f8 NOT WORKING: Draft implementation of VolumeOperator and make SecondDerivative specialize it. Reformulate Laplace for the new SecondDerivative.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 542
diff changeset
52 return Δ
924
12e8e431b43c Start restructuring Laplace making it more minimal.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 922
diff changeset
53 end