Mercurial > repos > public > sbplib
annotate +scheme/Laplace1d.m @ 1042:8d73fcdb07a5 feature/getBoundaryOp
Add asserts to boundary identifier inputs
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Tue, 22 Jan 2019 16:47:34 +0100 |
| parents | 2b1b944deae1 |
| children | 5afc774fb7c4 |
| rev | line source |
|---|---|
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1 classdef Laplace1d < scheme.Scheme |
| 0 | 2 properties |
| 898 | 3 grid |
| 0 | 4 order % Order accuracy for the approximation |
| 5 | |
| 6 D % non-stabalized scheme operator | |
| 7 H % Discrete norm | |
| 8 M % Derivative norm | |
|
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9 a |
| 0 | 10 |
| 11 D2 | |
| 12 Hi | |
| 13 e_l | |
| 14 e_r | |
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15 d_l |
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16 d_r |
| 0 | 17 gamm |
| 18 end | |
| 19 | |
| 20 methods | |
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21 function obj = Laplace1d(grid, order, a) |
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22 default_arg('a', 1); |
| 0 | 23 |
| 898 | 24 assertType(grid, 'grid.Cartesian'); |
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25 |
| 898 | 26 ops = sbp.D2Standard(grid.size(), grid.lim{1}, order); |
| 0 | 27 |
| 898 | 28 obj.D2 = sparse(ops.D2); |
| 29 obj.H = sparse(ops.H); | |
| 30 obj.Hi = sparse(ops.HI); | |
| 31 obj.M = sparse(ops.M); | |
| 32 obj.e_l = sparse(ops.e_l); | |
| 33 obj.e_r = sparse(ops.e_r); | |
| 34 obj.d_l = -sparse(ops.d1_l); | |
| 35 obj.d_r = sparse(ops.d1_r); | |
| 0 | 36 |
| 37 | |
| 898 | 38 obj.grid = grid; |
| 0 | 39 obj.order = order; |
| 40 | |
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41 obj.a = a; |
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42 obj.D = a*obj.D2; |
| 0 | 43 |
| 898 | 44 obj.gamm = grid.h*ops.borrowing.M.S; |
| 0 | 45 end |
| 46 | |
| 47 | |
| 48 % Closure functions return the opertors applied to the own doamin to close the boundary | |
| 49 % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin. | |
| 50 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'. | |
| 51 % type is a string specifying the type of boundary condition if there are several. | |
| 52 % data is a function returning the data that should be applied at the boundary. | |
| 53 % neighbour_scheme is an instance of Scheme that should be interfaced to. | |
| 54 % neighbour_boundary is a string specifying which boundary to interface to. | |
| 55 function [closure, penalty] = boundary_condition(obj,boundary,type,data) | |
| 56 default_arg('type','neumann'); | |
| 57 default_arg('data',0); | |
| 58 | |
|
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59 [e, d] = obj.getBoundaryOperator({'e', 'd'}, boundary); |
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60 s = obj.getBoundarySign(boundary); |
| 0 | 61 |
| 62 switch type | |
| 63 % Dirichlet boundary condition | |
| 64 case {'D','dirichlet'} | |
| 65 tuning = 1.1; | |
| 898 | 66 tau1 = -tuning/obj.gamm; |
| 67 tau2 = 1; | |
| 0 | 68 |
| 898 | 69 tau = tau1*e + tau2*d; |
| 0 | 70 |
| 898 | 71 closure = obj.a*obj.Hi*tau*e'; |
| 72 penalty = obj.a*obj.Hi*tau; | |
| 0 | 73 |
| 74 % Neumann boundary condition | |
| 75 case {'N','neumann'} | |
| 898 | 76 tau = -e; |
| 0 | 77 |
| 898 | 78 closure = obj.a*obj.Hi*tau*d'; |
| 79 penalty = -obj.a*obj.Hi*tau; | |
| 0 | 80 |
| 81 % Unknown, boundary condition | |
| 82 otherwise | |
| 83 error('No such boundary condition: type = %s',type); | |
| 84 end | |
| 85 end | |
| 86 | |
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87 function [closure, penalty] = interface(obj, boundary, neighbour_scheme, neighbour_boundary, type) |
| 0 | 88 % u denotes the solution in the own domain |
| 89 % v denotes the solution in the neighbour domain | |
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90 [e_u, d_u] = obj.getBoundaryOperator({'e', 'd'}, boundary); |
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Martin Almquist <malmquist@stanford.edu>
parents:
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91 s_u = obj.getBoundarySign(boundary); |
| 898 | 92 |
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Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents:
950
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93 [e_v, d_v] = neighbour_scheme.getBoundaryOperator({'e', 'd'}, neighbour_boundary); |
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Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
Martin Almquist <malmquist@stanford.edu>
parents:
950
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changeset
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94 s_v = neighbour_scheme.getBoundarySign(neighbour_boundary); |
| 0 | 95 |
| 898 | 96 a_u = obj.a; |
| 97 a_v = neighbour_scheme.a; | |
| 0 | 98 |
| 99 gamm_u = obj.gamm; | |
| 100 gamm_v = neighbour_scheme.gamm; | |
| 101 | |
| 898 | 102 tuning = 1.1; |
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103 |
| 898 | 104 tau1 = -(a_u/gamm_u + a_v/gamm_v) * tuning; |
| 105 tau2 = 1/2*a_u; | |
| 106 sig1 = -1/2; | |
| 0 | 107 sig2 = 0; |
| 108 | |
| 109 tau = tau1*e_u + tau2*d_u; | |
| 110 sig = sig1*e_u + sig2*d_u; | |
| 111 | |
| 898 | 112 closure = obj.Hi*( tau*e_u' + sig*a_u*d_u'); |
| 113 penalty = obj.Hi*(-tau*e_v' + sig*a_v*d_v'); | |
| 0 | 114 end |
| 115 | |
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Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
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parents:
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116 % Returns the boundary operator op for the boundary specified by the string boundary. |
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Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
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parents:
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117 % op -- string or a cell array of strings |
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118 % boundary -- string |
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119 function varargout = getBoundaryOperator(obj, op, boundary) |
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120 assertIsMember(boundary, {'l', 'r'}) |
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121 |
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122 if ~iscell(op) |
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123 op = {op}; |
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124 end |
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125 |
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126 for i = 1:numel(op) |
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127 switch op{i} |
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128 case 'e' |
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129 switch boundary |
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130 case 'l' |
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131 e = obj.e_l; |
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132 case 'r' |
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133 e = obj.e_r; |
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134 end |
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135 varargout{i} = e; |
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136 |
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137 case 'd' |
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138 switch boundary |
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139 case 'l' |
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140 d = obj.d_l; |
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141 case 'r' |
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142 d = obj.d_r; |
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143 end |
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144 varargout{i} = d; |
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145 end |
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146 end |
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parents:
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147 end |
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Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
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parents:
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148 |
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Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
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parents:
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149 % Returns the boundary sign. The right boundary is considered the positive boundary |
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Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
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parents:
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150 % boundary -- string |
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Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
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parents:
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151 function s = getBoundarySign(obj, boundary) |
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parents:
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152 assertIsMember(boundary, {'l', 'r'}) |
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153 |
| 0 | 154 switch boundary |
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parents:
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155 case {'r'} |
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parents:
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156 s = 1; |
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Add getBoundaryOperator to all 1d schemes. Did not add getBoundaryQuadrature because it doesnt make sense in 1d (?)
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parents:
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157 case {'l'} |
| 0 | 158 s = -1; |
| 159 end | |
| 160 end | |
| 161 | |
| 162 function N = size(obj) | |
| 898 | 163 N = obj.grid.size(); |
| 0 | 164 end |
| 165 | |
| 166 end | |
| 167 | |
| 168 methods(Static) | |
| 169 % Calculates the matrcis need for the inteface coupling between boundary bound_u of scheme schm_u | |
| 170 % and bound_v of scheme schm_v. | |
| 171 % [uu, uv, vv, vu] = inteface_couplong(A,'r',B,'l') | |
| 172 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v) | |
| 173 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v); | |
| 174 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u); | |
| 175 end | |
| 176 end | |
| 177 end |