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comparison +scheme/Scheme.m @ 185:fad5e81389c1 feature/grids

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Updated comments and definition to use introduced grid types.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 03 Mar 2016 20:01:09 +0100
parents 77e9f0a85862
children ef41fde95ac4
comparison
equal deleted inserted replaced
184:d90f540f4137 185:fad5e81389c1
1 % Start with all matrix returns. When that works see how we should generalize to non-matrix stuff/nonlinear 1 % Start with all matrix returns. When that works see how we should generalize
2 % to non-matrix stuff/nonlinear
2 classdef Scheme < handle 3 classdef Scheme < handle
3 properties (Abstract) 4 properties (Abstract)
4 order % Order accuracy for the approximation 5 order % Order accuracy for the approximation
5 6
6 % vectors u,v,w depending on dim that gives were gridpoints are in each dimension 7 grid
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 8
10 D % non-stabalized scheme operator 9 D % non-stabalized scheme operator
11 H % Discrete norm 10 H % Discrete norm
12
13 % Should also containg:
14 % the grid points used
15 % the grid spacing
16 end 11 end
17 12
18 methods (Abstract) 13 methods (Abstract)
19 % Closure functions return the opertors applied to the own doamin to close the boundary 14 % Closure functions return the opertors applied to the own doamin to
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. 15 % close the boundary Penalty functions return the opertors to force
21 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'. 16 % the solution. In the case of an interface it returns the operator
22 % type is a string specifying the type of boundary condition if there are several. 17 % applied to the other doamin. In some cases the penalty return value
23 % data is a function returning the data that should be applied at the boundary. 18 % can be ommited and the closure function take care of both parts.
24 % neighbour_scheme is an instance of Scheme that should be interfaced to. 19 % boundary is a string specifying the boundary e.g.
25 % neighbour_boundary is a string specifying which boundary to interface to. 20 % 'l','r' or 'e','w','n','s'.
26 m = boundary_condition(obj,boundary,type,data) 21 % type is a string specifying the type of
27 m = interface(obj,boundary,neighbour_scheme,neighbour_boundary) 22 % boundary condition if there are several.
28 N = size(obj) % Returns the number of degrees of freedom. 23 % data is a function returning the data that
24 % should be applied at the boundary.
25 % neighbour_scheme is an instance of Scheme that should be
26 % interfaced to.
27 % neighbour_boundary is a string specifying which boundary to
28 % interface to.
29 [closure, penalty] = boundary_condition(obj,boundary,type,data)
30 [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
29 31
32 % Returns the number of degrees of freedom.
33 N = size(obj)
30 end 34 end
31 35
32 methods(Static) 36 methods(Static)
33 % Calculates the matrcis need for the inteface coupling between boundary bound_u of scheme schm_u 37 % Calculates the matrcis need for the inteface coupling between
34 % and bound_v of scheme schm_v. 38 % boundary bound_u of scheme schm_u and bound_v of scheme schm_v.
35 % [uu, uv, vv, vu] = inteface_couplong(A,'r',B,'l') 39 % [uu, uv, vv, vu] = inteface_coupling(A,'r',B,'l')
36 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v) 40 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); 41 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v);
38 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u); 42 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u);
39 end 43 end
40 end 44 end