Mercurial > repos > public > sbplib
comparison +scheme/Scheme.m @ 0:48b6fb693025
Initial commit.
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Thu, 17 Sep 2015 10:12:50 +0200 |
| parents | |
| children | 16bad7c459da |
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| -1:000000000000 | 0:48b6fb693025 |
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| 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 m % Number of points in each direction, possibly a vector | |
| 5 order % Order accuracy for the approximation | |
| 6 | |
| 7 % vectors u,v,w depending on dim that gives were gridpoints are in each dimension | |
| 8 % vectors x,y,z containing the x,y,z values corresponding to each grid point | |
| 9 % matrices X,Y,Z with point coordinates as multi dimensional vectors | |
| 10 | |
| 11 D % non-stabalized scheme operator | |
| 12 H % Discrete norm | |
| 13 | |
| 14 % Should also containg: | |
| 15 % the grid points used | |
| 16 % the grid spacing | |
| 17 end | |
| 18 | |
| 19 methods (Abstract) | |
| 20 % Closure functions return the opertors applied to the own doamin to close the boundary | |
| 21 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin. | |
| 22 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'. | |
| 23 % type is a string specifying the type of boundary condition if there are several. | |
| 24 % data is a function returning the data that should be applied at the boundary. | |
| 25 % neighbour_scheme is an instance of Scheme that should be interfaced to. | |
| 26 % neighbour_boundary is a string specifying which boundary to interface to. | |
| 27 m = boundary_condition(obj,boundary,type,data) | |
| 28 m = interface(obj,boundary,neighbour_scheme,neighbour_boundary) | |
| 29 N = size(obj) % Returns the number of degrees of freedom. | |
| 30 | |
| 31 | |
| 32 | |
| 33 % Static function to calculate the coupling of two domains with an interface ??? | |
| 34 end | |
| 35 | |
| 36 methods(Static) | |
| 37 % Calculates the matrcis need for the inteface coupling between boundary bound_u of scheme schm_u | |
| 38 % and bound_v of scheme schm_v. | |
| 39 % [uu, uv, vv, vu] = inteface_couplong(A,'r',B,'l') | |
| 40 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v) | |
| 41 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v); | |
| 42 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u); | |
| 43 end | |
| 44 end | |
| 45 end |