Mercurial > repos > public > sbplib_julia
annotate diffOp.jl @ 9:aafc4bdbe675
Add h in stencil application
author | Jonatan Werpers <jonatan@werpers.com> |
---|---|
date | Mon, 17 Dec 2018 14:44:17 +0100 |
parents | 433008d3b7d3 |
children | 10a5e7c77fb8 |
rev | line source |
---|---|
2
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
1 abstract type DiffOp end |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
2 |
6
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
3 function apply(D::DiffOp, v::AbstractVector) |
2
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
4 error("not implemented") |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
5 end |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
6 |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
7 function innerProduct(D::DiffOp, u::AbstractVector, v::AbstractVector)::Real |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
8 error("not implemented") |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
9 end |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
10 |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
11 function matrixRepresentation(D::DiffOp) |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
12 error("not implemented") |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
13 end |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
14 |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
15 function boundaryCondition(D::DiffOp) |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
16 error("not implemented") |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
17 end |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
18 |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
19 function interface(Du::DiffOp, Dv::DiffOp, b::BoundaryID; type) |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
20 error("not implemented") |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
21 end |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
22 |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
23 |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
24 # Differential operator for a*d^2/dx^2 |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
25 struct Laplace1D <: DiffOp |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
26 grid |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
27 a |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
28 op |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
29 end |
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
30 |
6
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
31 # u = L*v |
9
aafc4bdbe675
Add h in stencil application
Jonatan Werpers <jonatan@werpers.com>
parents:
8
diff
changeset
|
32 function apply(L::Laplace1D, u::AbstractVector, v::AbstractVector) |
6
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
33 N = closureSize(L.op) |
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
34 M = length(v) |
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
35 |
9
aafc4bdbe675
Add h in stencil application
Jonatan Werpers <jonatan@werpers.com>
parents:
8
diff
changeset
|
36 h = scaling(L.grid) |
aafc4bdbe675
Add h in stencil application
Jonatan Werpers <jonatan@werpers.com>
parents:
8
diff
changeset
|
37 |
6
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
38 for i ∈ 1:N |
9
aafc4bdbe675
Add h in stencil application
Jonatan Werpers <jonatan@werpers.com>
parents:
8
diff
changeset
|
39 u[i] = apply(L.op.closureStencils[i], v, i)/h^2 |
6
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
40 end |
2
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
41 |
6
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
42 for i ∈ N+1:M-N |
9
aafc4bdbe675
Add h in stencil application
Jonatan Werpers <jonatan@werpers.com>
parents:
8
diff
changeset
|
43 u[i] = apply(L.op.innerStencil, i)/h^2 |
6
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
44 end |
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
45 |
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
46 for i ∈ M:-1:M-N+1 |
9
aafc4bdbe675
Add h in stencil application
Jonatan Werpers <jonatan@werpers.com>
parents:
8
diff
changeset
|
47 u[i] = apply(flip(L.op.closureStencils[M-i+1]), v, i)/h^2 |
6
cb8e50ca9e15
Add attempt att apply methods for Laplace
Jonatan Werpers <jonatan@werpers.com>
parents:
2
diff
changeset
|
48 end |
9
aafc4bdbe675
Add h in stencil application
Jonatan Werpers <jonatan@werpers.com>
parents:
8
diff
changeset
|
49 |
aafc4bdbe675
Add h in stencil application
Jonatan Werpers <jonatan@werpers.com>
parents:
8
diff
changeset
|
50 return nothing |
2
43be32298ae2
Add function to get closure size
Jonatan Werpers <jonatan@werpers.com>
parents:
0
diff
changeset
|
51 end |