|
0
|
1 % Start with all matrix returns. When that works see how we should generalize to non-matrix stuff/nonlinear
|
|
|
2 classdef Scheme < handle
|
|
|
3 properties (Abstract)
|
|
|
4 order % Order accuracy for the approximation
|
|
|
5
|
|
|
6 % vectors u,v,w depending on dim that gives were gridpoints are in each dimension
|
|
|
7 % vectors x,y,z containing the x,y,z values corresponding to each grid point
|
|
|
8 % matrices X,Y,Z with point coordinates as multi dimensional vectors
|
|
|
9
|
|
|
10 D % non-stabalized scheme operator
|
|
|
11 H % Discrete norm
|
|
|
12
|
|
|
13 % Should also containg:
|
|
|
14 % the grid points used
|
|
|
15 % the grid spacing
|
|
|
16 end
|
|
|
17
|
|
|
18 methods (Abstract)
|
|
|
19 % Closure functions return the opertors applied to the own doamin to close the boundary
|
|
|
20 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin.
|
|
|
21 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
|
|
|
22 % type is a string specifying the type of boundary condition if there are several.
|
|
|
23 % data is a function returning the data that should be applied at the boundary.
|
|
|
24 % neighbour_scheme is an instance of Scheme that should be interfaced to.
|
|
|
25 % neighbour_boundary is a string specifying which boundary to interface to.
|
|
|
26 m = boundary_condition(obj,boundary,type,data)
|
|
|
27 m = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
|
|
|
28 N = size(obj) % Returns the number of degrees of freedom.
|
|
|
29
|
|
|
30 end
|
|
|
31
|
|
|
32 methods(Static)
|
|
|
33 % Calculates the matrcis need for the inteface coupling between boundary bound_u of scheme schm_u
|
|
|
34 % and bound_v of scheme schm_v.
|
|
|
35 % [uu, uv, vv, vu] = inteface_couplong(A,'r',B,'l')
|
|
|
36 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v)
|
|
|
37 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v);
|
|
|
38 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u);
|
|
|
39 end
|
|
|
40 end
|
|
|
41 end |
