Mercurial > repos > public > sbplib

annotate +scheme/Utux2d.m @ 1019:f029b97dbc72 feature/advectionRV

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Support upwind opSet in Utux2d
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 14 Dec 2018 18:30:27 +0100
parents cab047de7f5d
children cc61dde120cd
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
950
cab047de7f5d Rename *2D schemes to *2d
Jonatan Werpers <jonatan@werpers.com>
parents: 948
diff changeset
1 classdef Utux2d < scheme.Scheme
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
2 properties
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
3 m % Number of points in each direction, possibly a vector
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
4 h % Grid spacing
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
5 grid % Grid
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
6 order % Order accuracy for the approximation
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
7 v0 % Initial data
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
8
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
9 a % Wave speed a = [a1, a2];
743
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
10 % Can either be a constant vector or a cell array of function handles.
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
11
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
12 H % Discrete norm
595
2a2f34778ded Make Utux2D work
Martin Almquist <malmquist@stanford.edu>
parents: 591
diff changeset
13 H_x, H_y % Norms in the x and y directions
2a2f34778ded Make Utux2D work
Martin Almquist <malmquist@stanford.edu>
parents: 591
diff changeset
14 Hi, Hx, Hy, Hxi, Hyi % Kroneckered norms
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
15
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
16 % Derivatives
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
17 Dx, Dy
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
18
1019
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
19 % Dissipation Operators
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
20 DissOpx, DissOpy
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
21
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
22 % Boundary operators
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
23 e_w, e_e, e_s, e_n
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
24
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
25 D % Total discrete operator
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
26 end
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
27
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
28
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
29 methods
950
cab047de7f5d Rename *2D schemes to *2d
Jonatan Werpers <jonatan@werpers.com>
parents: 948
diff changeset
30 function obj = Utux2d(g ,order, opSet, a)
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
31
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
32 default_arg('a',1/sqrt(2)*[1, 1]);
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
33 default_arg('opSet',@sbp.D2Standard);
743
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
34
948
3dd7f87c9a1b Use assertType(...) instead of assert(isa(...))
Jonatan Werpers <jonatan@werpers.com>
parents: 942
diff changeset
35 assertType(g, 'grid.Cartesian');
743
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
36 if iscell(a)
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
37 a1 = grid.evalOn(g, a{1});
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
38 a2 = grid.evalOn(g, a{2});
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
39 a = {spdiag(a1), spdiag(a2)};
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
40 else
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
41 a = {a(1), a(2)};
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
42 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
43
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
44 m = g.size();
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
45 m_x = m(1);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
46 m_y = m(2);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
47 m_tot = g.N();
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
48
595
2a2f34778ded Make Utux2D work
Martin Almquist <malmquist@stanford.edu>
parents: 591
diff changeset
49 xlim = {g.x{1}(1), g.x{1}(end)};
2a2f34778ded Make Utux2D work
Martin Almquist <malmquist@stanford.edu>
parents: 591
diff changeset
50 ylim = {g.x{2}(1), g.x{2}(end)};
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
51 obj.grid = g;
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
52
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
53 % Operator sets
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
54 ops_x = opSet(m_x, xlim, order);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
55 ops_y = opSet(m_y, ylim, order);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
56 Ix = speye(m_x);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
57 Iy = speye(m_y);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
58
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
59 % Norms
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
60 Hx = ops_x.H;
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
61 Hy = ops_y.H;
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
62 Hxi = ops_x.HI;
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
63 Hyi = ops_y.HI;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
64
595
2a2f34778ded Make Utux2D work
Martin Almquist <malmquist@stanford.edu>
parents: 591
diff changeset
65 obj.H_x = Hx;
2a2f34778ded Make Utux2D work
Martin Almquist <malmquist@stanford.edu>
parents: 591
diff changeset
66 obj.H_y = Hy;
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
67 obj.H = kron(Hx,Hy);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
68 obj.Hi = kron(Hxi,Hyi);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
69 obj.Hx = kron(Hx,Iy);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
70 obj.Hy = kron(Ix,Hy);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
71 obj.Hxi = kron(Hxi,Iy);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
72 obj.Hyi = kron(Ix,Hyi);
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
73
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
74 % Derivatives
1019
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
75 if (isequal(opSet,@sbp.D1Upwind))
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
76 Dx = (ops_x.Dp + ops_x.Dm)/2;
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
77 Dy = (ops_y.Dp + ops_y.Dm)/2;
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
78 DissOpx = (ops_x.Dm - ops_x.Dp)/2;
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
79 DissOpy = (ops_y.Dm - ops_y.Dp)/2;
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
80 obj.Dx = kron(Dx,Iy);
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
81 obj.Dy = kron(Ix,Dy);
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
82 obj.DissOpx = kron(DissOpx,Iy);
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
83 obj.DissOpy = kron(Ix,DissOpy);
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
84 else
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
85 Dx = ops_x.D1;
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
86 Dy = ops_y.D1;
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
87 obj.Dx = kron(Dx,Iy);
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
88 obj.Dy = kron(Ix,Dy);
f029b97dbc72 Support upwind opSet in Utux2d
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 950
diff changeset
89 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
90
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
91 % Boundary operators
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
92 obj.e_w = kr(ops_x.e_l, Iy);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
93 obj.e_e = kr(ops_x.e_r, Iy);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
94 obj.e_s = kr(Ix, ops_y.e_l);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
95 obj.e_n = kr(Ix, ops_y.e_r);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
96
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
97 obj.m = m;
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
98 obj.h = [ops_x.h ops_y.h];
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
99 obj.order = order;
595
2a2f34778ded Make Utux2D work
Martin Almquist <malmquist@stanford.edu>
parents: 591
diff changeset
100 obj.a = a;
743
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
101 obj.D = -(a{1}*obj.Dx + a{2}*obj.Dy);
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
102 end
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
103 % Closure functions return the opertors applied to the own domain to close the boundary
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
104 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin.
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
105 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
106 % type is a string specifying the type of boundary condition if there are several.
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
107 % data is a function returning the data that should be applied at the boundary.
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
108 % neighbour_scheme is an instance of Scheme that should be interfaced to.
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
109 % neighbour_boundary is a string specifying which boundary to interface to.
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
110 function [closure, penalty] = boundary_condition(obj,boundary,type)
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
111 default_arg('type','dirichlet');
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
112
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
113 sigma = -1; % Scalar penalty parameter
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
114 switch boundary
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
115 case {'w','W','west','West'}
743
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
116 tau = sigma*obj.a{1}*obj.e_w*obj.H_y;
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
117 closure = obj.Hi*tau*obj.e_w';
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
118
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
119 case {'s','S','south','South'}
743
f4595f14d696 Change schemes to work for special coefficients.
Martin Almquist <malmquist@stanford.edu>
parents: 666
diff changeset
120 tau = sigma*obj.a{2}*obj.e_s*obj.H_x;
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
121 closure = obj.Hi*tau*obj.e_s';
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
122 end
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
123 penalty = -obj.Hi*tau;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
124
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
125 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
126
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
127 % type Struct that specifies the interface coupling.
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
128 % Fields:
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
129 % -- couplingType String, type of interface coupling
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
130 % % Default: 'upwind'. Other: 'centered'
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
131 % -- interpolation: type of interpolation, default 'none'
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
132 % -- interpolationDamping: damping on upstream and downstream sides, when using interpolation.
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
133 % Default {0,0} gives zero damping.
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
134 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary,type)
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
135
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
136 defaultType.couplingType = 'upwind';
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
137 defaultType.interpolation = 'none';
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
138 defaultType.interpolationDamping = {0,0};
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
139 default_struct('type', defaultType);
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
140
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
141 switch type.interpolation
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
142 case {'none', ''}
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
143 [closure, penalty] = interfaceStandard(obj,boundary,neighbour_scheme,neighbour_boundary,type);
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
144 case {'op','OP'}
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
145 [closure, penalty] = interfaceNonConforming(obj,boundary,neighbour_scheme,neighbour_boundary,type);
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
146 otherwise
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
147 error('Unknown type of interpolation: %s ', type.interpolation);
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
148 end
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
149 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
150
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
151 function [closure, penalty] = interfaceStandard(obj,boundary,neighbour_scheme,neighbour_boundary,type)
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
152 couplingType = type.couplingType;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
153
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
154 % Get neighbour boundary operator
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
155 switch neighbour_boundary
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
156 case {'e','E','east','East'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
157 e_neighbour = neighbour_scheme.e_e;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
158 case {'w','W','west','West'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
159 e_neighbour = neighbour_scheme.e_w;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
160 case {'n','N','north','North'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
161 e_neighbour = neighbour_scheme.e_n;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
162 case {'s','S','south','South'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
163 e_neighbour = neighbour_scheme.e_s;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
164 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
165
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
166 switch couplingType
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
167
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
168 % Upwind coupling (energy dissipation)
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
169 case 'upwind'
605
0f9d20dbb7ce Add centered interface coupling in addition to upwind
Martin Almquist <malmquist@stanford.edu>
parents: 595
diff changeset
170 sigma_ds = -1; %"Downstream" penalty
0f9d20dbb7ce Add centered interface coupling in addition to upwind
Martin Almquist <malmquist@stanford.edu>
parents: 595
diff changeset
171 sigma_us = 0; %"Upstream" penalty
0f9d20dbb7ce Add centered interface coupling in addition to upwind
Martin Almquist <malmquist@stanford.edu>
parents: 595
diff changeset
172
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
173 % Energy-preserving coupling (no energy dissipation)
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
174 case 'centered'
605
0f9d20dbb7ce Add centered interface coupling in addition to upwind
Martin Almquist <malmquist@stanford.edu>
parents: 595
diff changeset
175 sigma_ds = -1/2; %"Downstream" penalty
0f9d20dbb7ce Add centered interface coupling in addition to upwind
Martin Almquist <malmquist@stanford.edu>
parents: 595
diff changeset
176 sigma_us = 1/2; %"Upstream" penalty
0f9d20dbb7ce Add centered interface coupling in addition to upwind
Martin Almquist <malmquist@stanford.edu>
parents: 595
diff changeset
177
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
178 otherwise
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
179 error(['Interface coupling type ' couplingType ' is not available.'])
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
180 end
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
181
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
182 switch boundary
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
183 case {'w','W','west','West'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
184 tau = sigma_ds*obj.a{1}*obj.e_w*obj.H_y;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
185 closure = obj.Hi*tau*obj.e_w';
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
186 penalty = -obj.Hi*tau*e_neighbour';
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
187 case {'e','E','east','East'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
188 tau = sigma_us*obj.a{1}*obj.e_e*obj.H_y;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
189 closure = obj.Hi*tau*obj.e_e';
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
190 penalty = -obj.Hi*tau*e_neighbour';
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
191 case {'s','S','south','South'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
192 tau = sigma_ds*obj.a{2}*obj.e_s*obj.H_x;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
193 closure = obj.Hi*tau*obj.e_s';
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
194 penalty = -obj.Hi*tau*e_neighbour';
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
195 case {'n','N','north','North'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
196 tau = sigma_us*obj.a{2}*obj.e_n*obj.H_x;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
197 closure = obj.Hi*tau*obj.e_n';
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
198 penalty = -obj.Hi*tau*e_neighbour';
605
0f9d20dbb7ce Add centered interface coupling in addition to upwind
Martin Almquist <malmquist@stanford.edu>
parents: 595
diff changeset
199 end
610
b7b3c11fab4d Add interpolation to scheme
Martin Almquist <malmquist@stanford.edu>
parents: 605
diff changeset
200
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
201 end
610
b7b3c11fab4d Add interpolation to scheme
Martin Almquist <malmquist@stanford.edu>
parents: 605
diff changeset
202
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
203 function [closure, penalty] = interfaceNonConforming(obj,boundary,neighbour_scheme,neighbour_boundary,type)
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
204
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
205 % User can request special interpolation operators by specifying type.interpOpSet
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
206 default_field(type, 'interpOpSet', @sbp.InterpOpsOP);
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
207
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
208 interpOpSet = type.interpOpSet;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
209 couplingType = type.couplingType;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
210 interpolationDamping = type.interpolationDamping;
610
b7b3c11fab4d Add interpolation to scheme
Martin Almquist <malmquist@stanford.edu>
parents: 605
diff changeset
211
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
212 % Get neighbour boundary operator
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
213 switch neighbour_boundary
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
214 case {'e','E','east','East'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
215 e_neighbour = neighbour_scheme.e_e;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
216 case {'w','W','west','West'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
217 e_neighbour = neighbour_scheme.e_w;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
218 case {'n','N','north','North'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
219 e_neighbour = neighbour_scheme.e_n;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
220 case {'s','S','south','South'}
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
221 e_neighbour = neighbour_scheme.e_s;
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
222 end
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
223
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
224 switch couplingType
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
225
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
226 % Upwind coupling (energy dissipation)
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
227 case 'upwind'
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
228 sigma_ds = -1; %"Downstream" penalty
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
229 sigma_us = 0; %"Upstream" penalty
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
230
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
231 % Energy-preserving coupling (no energy dissipation)
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
232 case 'centered'
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
233 sigma_ds = -1/2; %"Downstream" penalty
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
234 sigma_us = 1/2; %"Upstream" penalty
666
2d85f17a8aec Add possibility for damping terms at interpolation interface.
Martin Almquist <malmquist@stanford.edu>
parents: 610
diff changeset
235
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
236 otherwise
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
237 error(['Interface coupling type ' couplingType ' is not available.'])
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
238 end
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
239
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
240 int_damp_us = interpolationDamping{1};
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
241 int_damp_ds = interpolationDamping{2};
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
242
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
243 % u denotes the solution in the own domain
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
244 % v denotes the solution in the neighbour domain
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
245 % Find the number of grid points along the interface
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
246 switch boundary
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
247 case {'w','e'}
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
248 m_u = obj.m(2);
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
249 case {'s','n'}
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
250 m_u = obj.m(1);
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
251 end
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
252 m_v = size(e_neighbour, 2);
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
253
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
254 % Build interpolation operators
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
255 intOps = interpOpSet(m_u, m_v, obj.order, neighbour_scheme.order);
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
256 Iu2v = intOps.Iu2v;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
257 Iv2u = intOps.Iv2u;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
258
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
259 I_local2neighbour_ds = intOps.Iu2v.bad;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
260 I_local2neighbour_us = intOps.Iu2v.good;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
261 I_neighbour2local_ds = intOps.Iv2u.good;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
262 I_neighbour2local_us = intOps.Iv2u.bad;
914
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
263
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
264 I_back_forth_us = I_neighbour2local_us*I_local2neighbour_us;
50cafc4b9e40 Make default_field overwrite if field exists but is empty. Refactor interface method in Utux2d.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
265 I_back_forth_ds = I_neighbour2local_ds*I_local2neighbour_ds;
666
2d85f17a8aec Add possibility for damping terms at interpolation interface.
Martin Almquist <malmquist@stanford.edu>
parents: 610
diff changeset
266
2d85f17a8aec Add possibility for damping terms at interpolation interface.
Martin Almquist <malmquist@stanford.edu>
parents: 610
diff changeset
267
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
268 switch boundary
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
269 case {'w','W','west','West'}
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
270 tau = sigma_ds*obj.a{1}*obj.e_w*obj.H_y;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
271 closure = obj.Hi*tau*obj.e_w';
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
272 penalty = -obj.Hi*tau*I_neighbour2local_ds*e_neighbour';
666
2d85f17a8aec Add possibility for damping terms at interpolation interface.
Martin Almquist <malmquist@stanford.edu>
parents: 610
diff changeset
273
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
274 beta = int_damp_ds*obj.a{1}...
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
275 *obj.e_w*obj.H_y;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
276 closure = closure + obj.Hi*beta*I_back_forth_ds*obj.e_w' - obj.Hi*beta*obj.e_w';
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
277 case {'e','E','east','East'}
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
278 tau = sigma_us*obj.a{1}*obj.e_e*obj.H_y;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
279 closure = obj.Hi*tau*obj.e_e';
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
280 penalty = -obj.Hi*tau*I_neighbour2local_us*e_neighbour';
666
2d85f17a8aec Add possibility for damping terms at interpolation interface.
Martin Almquist <malmquist@stanford.edu>
parents: 610
diff changeset
281
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
282 beta = int_damp_us*obj.a{1}...
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
283 *obj.e_e*obj.H_y;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
284 closure = closure + obj.Hi*beta*I_back_forth_us*obj.e_e' - obj.Hi*beta*obj.e_e';
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
285 case {'s','S','south','South'}
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
286 tau = sigma_ds*obj.a{2}*obj.e_s*obj.H_x;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
287 closure = obj.Hi*tau*obj.e_s';
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
288 penalty = -obj.Hi*tau*I_neighbour2local_ds*e_neighbour';
666
2d85f17a8aec Add possibility for damping terms at interpolation interface.
Martin Almquist <malmquist@stanford.edu>
parents: 610
diff changeset
289
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
290 beta = int_damp_ds*obj.a{2}...
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
291 *obj.e_s*obj.H_x;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
292 closure = closure + obj.Hi*beta*I_back_forth_ds*obj.e_s' - obj.Hi*beta*obj.e_s';
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
293 case {'n','N','north','North'}
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
294 tau = sigma_us*obj.a{2}*obj.e_n*obj.H_x;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
295 closure = obj.Hi*tau*obj.e_n';
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
296 penalty = -obj.Hi*tau*I_neighbour2local_us*e_neighbour';
666
2d85f17a8aec Add possibility for damping terms at interpolation interface.
Martin Almquist <malmquist@stanford.edu>
parents: 610
diff changeset
297
942
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
298 beta = int_damp_us*obj.a{2}...
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
299 *obj.e_n*obj.H_x;
35701c85e356 Make Utux2D work with new interface type etc.
Martin Almquist <malmquist@stanford.edu>
parents: 914
diff changeset
300 closure = closure + obj.Hi*beta*I_back_forth_us*obj.e_n' - obj.Hi*beta*obj.e_n';
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
301 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
302
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
303
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
304 end
905
459eeb99130f Include type as (optional) input parameter in the interface method of all schemes.
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
305
591
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
306 function N = size(obj)
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
307 N = obj.m;
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
308 end
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
309
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
310 end
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
311
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
312 methods(Static)
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
313 % Calculates the matrices needed for the inteface coupling between boundary bound_u of scheme schm_u
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
314 % and bound_v of scheme schm_v.
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
315 % [uu, uv, vv, vu] = inteface_coupling(A,'r',B,'l')
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
316 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v)
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
317 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
318 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u);
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
319 end
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
320 end
39554f2de783 Add Utux2D scheme
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
321 end