Mercurial > repos > public > sbplib
annotate +scheme/Utux.m @ 945:af397cc35239 feature/utux2D
Update abstract scheme class
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Wed, 05 Dec 2018 10:55:50 +0100 |
parents | b9c98661ff5d |
children | 706d1c2b4199 |
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270 | 1 classdef Utux < scheme.Scheme |
2 properties | |
3 m % Number of points in each direction, possibly a vector | |
4 h % Grid spacing | |
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5 grid % Grid |
270 | 6 order % Order accuracy for the approximation |
7 | |
8 H % Discrete norm | |
9 D | |
10 | |
11 D1 | |
12 Hi | |
13 e_l | |
14 e_r | |
15 v0 | |
16 end | |
17 | |
18 | |
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19 methods |
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20 function obj = Utux(g ,order, operator) |
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21 default_arg('operator','Standard'); |
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22 |
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23 m = g.size(); |
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24 xl = g.getBoundary('l'); |
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25 xr = g.getBoundary('r'); |
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26 xlim = {xl, xr}; |
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27 |
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28 switch operator |
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29 % case 'NonEquidistant' |
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30 % ops = sbp.D1Nonequidistant(m,xlim,order); |
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31 % obj.D1 = ops.D1; |
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32 case 'Standard' |
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33 ops = sbp.D2Standard(m,xlim,order); |
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34 obj.D1 = ops.D1; |
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35 % case 'Upwind' |
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36 % ops = sbp.D1Upwind(m,xlim,order); |
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37 % obj.D1 = ops.Dm; |
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38 otherwise |
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39 error('Unvalid operator') |
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40 end |
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41 |
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42 obj.grid = g; |
270 | 43 |
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44 obj.H = ops.H; |
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45 obj.Hi = ops.HI; |
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46 |
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47 obj.e_l = ops.e_l; |
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48 obj.e_r = ops.e_r; |
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49 obj.D = -obj.D1; |
270 | 50 |
51 obj.m = m; | |
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52 obj.h = ops.h; |
270 | 53 obj.order = order; |
54 | |
55 end | |
56 % Closure functions return the opertors applied to the own doamin to close the boundary | |
57 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin. | |
58 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'. | |
59 % type is a string specifying the type of boundary condition if there are several. | |
60 % data is a function returning the data that should be applied at the boundary. | |
61 % neighbour_scheme is an instance of Scheme that should be interfaced to. | |
62 % neighbour_boundary is a string specifying which boundary to interface to. | |
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63 function [closure, penalty] = boundary_condition(obj,boundary,type) |
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64 default_arg('type','dirichlet'); |
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65 tau =-1*obj.e_l; |
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66 closure = obj.Hi*tau*obj.e_l'; |
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67 penalty = -obj.Hi*tau; |
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68 |
270 | 69 end |
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70 |
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71 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary,opts) |
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72 switch boundary |
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73 % Upwind coupling |
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74 case {'l','left'} |
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75 tau = -1*obj.e_l; |
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76 closure = obj.Hi*tau*obj.e_l'; |
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77 penalty = -obj.Hi*tau*neighbour_scheme.e_r'; |
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78 case {'r','right'} |
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79 tau = 0*obj.e_r; |
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80 closure = obj.Hi*tau*obj.e_r'; |
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81 penalty = -obj.Hi*tau*neighbour_scheme.e_l'; |
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82 end |
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83 |
270 | 84 end |
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85 |
270 | 86 function N = size(obj) |
87 N = obj.m; | |
88 end | |
89 | |
90 end | |
91 | |
92 methods(Static) | |
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93 % Calculates the matrices needed for the inteface coupling between boundary bound_u of scheme schm_u |
270 | 94 % and bound_v of scheme schm_v. |
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95 % [uu, uv, vv, vu] = inteface_coupling(A,'r',B,'l') |
270 | 96 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v) |
97 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v); | |
98 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u); | |
99 end | |
100 end | |
101 end |