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annotate +scheme/Utux.m @ 290:d32f674bcbe5 feature/hypsyst
A first attempt to make a general scheme fo hyperbolic systems
| author | Ylva Rydin <ylva.rydin@telia.com> |
|---|---|
| date | Fri, 16 Sep 2016 14:51:17 +0200 |
| parents | d755816aa0fa |
| children | 9b3d7fc61a36 |
| rev | line source |
|---|---|
| 270 | 1 classdef Utux < scheme.Scheme |
| 2 properties | |
| 3 m % Number of points in each direction, possibly a vector | |
| 4 h % Grid spacing | |
| 5 x % Grid | |
| 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 | |
| 19 methods | |
| 20 function obj = Utux(m,xlim,order) | |
| 21 default_arg('a',1); | |
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A first attempt to make a general scheme fo hyperbolic systems
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22 |
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A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
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23 %Old operators |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
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24 % [x, h] = util.get_grid(xlim{:},m); |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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25 %ops = sbp.Ordinary(m,h,order); |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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26 |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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27 ops = sbp.D1Nonequidistant(m,xlim,order); |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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28 % ops = sbp.D2Standard(m,xlim,order); |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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29 |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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30 obj.x=ops.x; |
| 270 | 31 |
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A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
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changeset
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32 obj.D1 = ops.D1; |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
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diff
changeset
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33 obj.H = ops.H; |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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34 obj.Hi = ops.HI; |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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35 |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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36 obj.e_l = ops.e_l; |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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37 obj.e_r = ops.e_r; |
| 270 | 38 obj.D=obj.D1; |
| 39 | |
| 40 obj.m = m; | |
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A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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41 obj.h = ops.h; |
| 270 | 42 obj.order = order; |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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43 obj.x = ops.x; |
| 270 | 44 |
| 45 end | |
| 46 % Closure functions return the opertors applied to the own doamin to close the boundary | |
| 47 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin. | |
| 48 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'. | |
| 49 % type is a string specifying the type of boundary condition if there are several. | |
| 50 % data is a function returning the data that should be applied at the boundary. | |
| 51 % neighbour_scheme is an instance of Scheme that should be interfaced to. | |
| 52 % neighbour_boundary is a string specifying which boundary to interface to. | |
| 53 function [closure, penalty] = boundary_condition(obj,boundary,type,data) | |
| 54 default_arg('type','neumann'); | |
| 55 default_arg('data',0); | |
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d32f674bcbe5
A first attempt to make a general scheme fo hyperbolic systems
Ylva Rydin <ylva.rydin@telia.com>
parents:
270
diff
changeset
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56 tau =-1*obj.e_l; |
| 270 | 57 closure = obj.Hi*tau*obj.e_l'; |
| 58 penalty = 0*obj.e_l; | |
| 59 | |
| 60 end | |
| 61 | |
| 62 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary) | |
| 63 error('An interface function does not exist yet'); | |
| 64 end | |
| 65 | |
| 66 function N = size(obj) | |
| 67 N = obj.m; | |
| 68 end | |
| 69 | |
| 70 end | |
| 71 | |
| 72 methods(Static) | |
| 73 % Calculates the matrcis need for the inteface coupling between boundary bound_u of scheme schm_u | |
| 74 % and bound_v of scheme schm_v. | |
| 75 % [uu, uv, vv, vu] = inteface_couplong(A,'r',B,'l') | |
| 76 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v) | |
| 77 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v); | |
| 78 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u); | |
| 79 end | |
| 80 end | |
| 81 end |