annotate +scheme/Scheme.m @ 180:001239c03eb2 feature/beams

Merge with feature/grids.
author Jonatan Werpers <jonatan@werpers.com>
date Mon, 29 Feb 2016 15:08:01 +0100
parents 8f22829b69d0 77e9f0a85862
children ef41fde95ac4
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1 % Start with all matrix returns. When that works see how we should generalize to non-matrix stuff/nonlinear
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2 classdef Scheme < handle
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3 properties (Abstract)
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4 order % Order accuracy for the approximation
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5
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6 % vectors u,v,w depending on dim that gives were gridpoints are in each dimension
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7 % vectors x,y,z containing the x,y,z values corresponding to each grid point
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8 % matrices X,Y,Z with point coordinates as multi dimensional vectors
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9
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10 D % non-stabalized scheme operator
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11 H % Discrete norm
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12
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13 % Should also containg:
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14 % the grid points used
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15 % the grid spacing
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16 end
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17
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18 methods (Abstract)
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19 % Closure functions return the opertors applied to the own doamin to close the boundary
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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.
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21 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
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22 % type is a string specifying the type of boundary condition if there are several.
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23 % neighbour_scheme is an instance of Scheme that should be interfaced to.
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24 % neighbour_boundary is a string specifying which boundary to interface to.
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25 [closure, penalty] = boundary_condition(obj,boundary,type)
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26 [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
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27 N = size(obj) % Returns the number of degrees of freedom.
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29 end
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31 methods(Static)
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32 % Calculates the matrcis need for the inteface coupling between boundary bound_u of scheme schm_u
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33 % and bound_v of scheme schm_v.
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34 % [uu, uv, vv, vu] = inteface_couplong(A,'r',B,'l')
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35 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v)
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36 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v);
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37 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u);
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38 end
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39 end
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