annotate +scheme/LaplaceCurvilinear.m @ 1342:d1dad4fbfe22 feature/D2_boundary_opt

Add support for glue interpolation operators, and separate wave speeds across interfaces
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Fri, 26 Aug 2022 14:19:29 +0200
parents 84200bbae101
children
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rev   line source
450
8d455e49364f Copy Wave2dCurve to new scheme LaplaceCurvilinear
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1 classdef LaplaceCurvilinear < scheme.Scheme
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2 properties
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3 m % Number of points in each direction, possibly a vector
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4 h % Grid spacing
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5
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6 grid
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7
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8 order % Order accuracy for the approximation
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9
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10 a,b % Parameters of the operator
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11
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12
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13 % Inner products and operators for physical coordinates
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14 D % Laplace operator
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15 H, Hi % Inner product
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16 e_w, e_e, e_s, e_n
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17 d_w, d_e, d_s, d_n % Normal derivatives at the boundary
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18 H_w, H_e, H_s, H_n % Boundary inner products
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19 Dx, Dy % Physical derivatives
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20 M % Gradient inner product
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21
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22 % Metric coefficients
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23 J, Ji
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24 a11, a12, a22
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25 x_u
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26 x_v
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27 y_u
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28 y_v
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29
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30 % Inner product and operators for logical coordinates
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31 H_u, H_v % Norms in the x and y directions
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32 Hi_u, Hi_v
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33 Hu,Hv % Kroneckerd norms. 1'*Hx*v corresponds to integration in the x dir.
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34 Hiu, Hiv
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35 du_w, dv_w
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36 du_e, dv_e
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37 du_s, dv_s
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38 du_n, dv_n
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39 gamm_u, gamm_v
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97a638f91fb8 Added function spdiag(). Fixed a bunch of bugs in the Wave2dCurve scheme.
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40 lambda
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41
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42 end
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43
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44 methods
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45 % Implements a*div(b*grad(u)) as a SBP scheme
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46 % TODO: Implement proper H, it should be the real physical quadrature, the logic quadrature may be but in a separate variable (H_logic?)
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47
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48 function obj = LaplaceCurvilinear(g ,order, a, b, opSet)
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49 default_arg('opSet',@sbp.D2Variable);
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50 default_arg('a', 1);
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51 default_arg('b', 1);
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52
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53 if b ~=1
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54 error('Not implemented yet')
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55 end
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56
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57 % assert(isa(g, 'grid.Curvilinear'))
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58 if isa(a, 'function_handle')
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59 a = grid.evalOn(g, a);
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60 a = spdiag(a);
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61 end
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63 m = g.size();
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64 m_u = m(1);
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65 m_v = m(2);
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66 m_tot = g.N();
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67
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68 h = g.scaling();
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69 h_u = h(1);
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70 h_v = h(2);
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71
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72
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73 % 1D operators
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74 ops_u = opSet(m_u, {0, 1}, order);
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75 ops_v = opSet(m_v, {0, 1}, order);
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76
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77 I_u = speye(m_u);
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78 I_v = speye(m_v);
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79
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80 D1_u = ops_u.D1;
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81 D2_u = ops_u.D2;
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82 H_u = ops_u.H;
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83 Hi_u = ops_u.HI;
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84 e_l_u = ops_u.e_l;
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85 e_r_u = ops_u.e_r;
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86 d1_l_u = ops_u.d1_l;
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87 d1_r_u = ops_u.d1_r;
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88
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89 D1_v = ops_v.D1;
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90 D2_v = ops_v.D2;
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91 H_v = ops_v.H;
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92 Hi_v = ops_v.HI;
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93 e_l_v = ops_v.e_l;
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94 e_r_v = ops_v.e_r;
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95 d1_l_v = ops_v.d1_l;
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96 d1_r_v = ops_v.d1_r;
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97
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98
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99 % Logical operators
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100 Du = kr(D1_u,I_v);
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101 Dv = kr(I_u,D1_v);
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102 obj.Hu = kr(H_u,I_v);
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103 obj.Hv = kr(I_u,H_v);
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104 obj.Hiu = kr(Hi_u,I_v);
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105 obj.Hiv = kr(I_u,Hi_v);
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106 obj.H_u = H_u;
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107 obj.H_v = H_v;
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108
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109 e_w = kr(e_l_u,I_v);
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110 e_e = kr(e_r_u,I_v);
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111 e_s = kr(I_u,e_l_v);
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112 e_n = kr(I_u,e_r_v);
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113 obj.du_w = kr(d1_l_u,I_v);
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114 obj.dv_w = (e_w'*Dv)';
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115 obj.du_e = kr(d1_r_u,I_v);
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116 obj.dv_e = (e_e'*Dv)';
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117 obj.du_s = (e_s'*Du)';
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118 obj.dv_s = kr(I_u,d1_l_v);
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119 obj.du_n = (e_n'*Du)';
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120 obj.dv_n = kr(I_u,d1_r_v);
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121
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122
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123 % Metric coefficients
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124 coords = g.points();
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125 x = coords(:,1);
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126 y = coords(:,2);
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127
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128 x_u = Du*x;
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129 x_v = Dv*x;
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130 y_u = Du*y;
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131 y_v = Dv*y;
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132
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133 J = x_u.*y_v - x_v.*y_u;
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134 a11 = 1./J .* (x_v.^2 + y_v.^2);
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135 a12 = -1./J .* (x_u.*x_v + y_u.*y_v);
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136 a22 = 1./J .* (x_u.^2 + y_u.^2);
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137 lambda = 1/2 * (a11 + a22 - sqrt((a11-a22).^2 + 4*a12.^2));
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138
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139 obj.x_u = x_u;
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140 obj.x_v = x_v;
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141 obj.y_u = y_u;
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142 obj.y_v = y_v;
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143
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144
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145 % Assemble full operators
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146 L_12 = spdiag(a12);
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147 Duv = Du*L_12*Dv;
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148 Dvu = Dv*L_12*Du;
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149
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150 Duu = sparse(m_tot);
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151 Dvv = sparse(m_tot);
337
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parents: 303
diff changeset
152 ind = grid.funcToMatrix(g, 1:m_tot);
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153
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154 for i = 1:m_v
337
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diff changeset
155 D = D2_u(a11(ind(:,i)));
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156 p = ind(:,i);
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157 Duu(p,p) = D;
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158 end
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159
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160 for i = 1:m_u
337
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161 D = D2_v(a22(ind(i,:)));
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162 p = ind(i,:);
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163 Dvv(p,p) = D;
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164 end
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165
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166
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167 % Physical operators
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168 obj.J = spdiag(J);
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169 obj.Ji = spdiag(1./J);
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170
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171 obj.D = obj.Ji*a*(Duu + Duv + Dvu + Dvv);
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172 obj.H = obj.J*kr(H_u,H_v);
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173 obj.Hi = obj.Ji*kr(Hi_u,Hi_v);
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174
553
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175 obj.e_w = e_w;
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176 obj.e_e = e_e;
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177 obj.e_s = e_s;
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178 obj.e_n = e_n;
376
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179
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180 %% normal derivatives
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181 I_w = ind(1,:);
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182 I_e = ind(end,:);
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183 I_s = ind(:,1);
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184 I_n = ind(:,end);
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185
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186 a11_w = spdiag(a11(I_w));
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187 a12_w = spdiag(a12(I_w));
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188 a11_e = spdiag(a11(I_e));
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189 a12_e = spdiag(a12(I_e));
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190 a22_s = spdiag(a22(I_s));
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191 a12_s = spdiag(a12(I_s));
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192 a22_n = spdiag(a22(I_n));
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193 a12_n = spdiag(a12(I_n));
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194
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195 s_w = sqrt((e_w'*x_v).^2 + (e_w'*y_v).^2);
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196 s_e = sqrt((e_e'*x_v).^2 + (e_e'*y_v).^2);
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197 s_s = sqrt((e_s'*x_u).^2 + (e_s'*y_u).^2);
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198 s_n = sqrt((e_n'*x_u).^2 + (e_n'*y_u).^2);
562
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199
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200 obj.d_w = -1*(spdiag(1./s_w)*(a11_w*obj.du_w' + a12_w*obj.dv_w'))';
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201 obj.d_e = (spdiag(1./s_e)*(a11_e*obj.du_e' + a12_e*obj.dv_e'))';
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202 obj.d_s = -1*(spdiag(1./s_s)*(a22_s*obj.dv_s' + a12_s*obj.du_s'))';
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203 obj.d_n = (spdiag(1./s_n)*(a22_n*obj.dv_n' + a12_n*obj.du_n'))';
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204
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205 obj.Dx = spdiag( y_v./J)*Du + spdiag(-y_u./J)*Dv;
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206 obj.Dy = spdiag(-x_v./J)*Du + spdiag( x_u./J)*Dv;
384
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207
562
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208 %% Boundary inner products
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209 obj.H_w = H_v*spdiag(s_w);
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210 obj.H_e = H_v*spdiag(s_e);
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211 obj.H_s = H_u*spdiag(s_s);
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212 obj.H_n = H_u*spdiag(s_n);
553
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213
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214 % Misc.
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215 obj.m = m;
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216 obj.h = [h_u h_v];
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217 obj.order = order;
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218 obj.grid = g;
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219
452
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220 obj.a = a;
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221 obj.b = b;
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222 obj.a11 = a11;
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223 obj.a12 = a12;
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224 obj.a22 = a22;
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225 obj.lambda = lambda;
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226
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227 obj.gamm_u = h_u*ops_u.borrowing.M.d1;
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228 obj.gamm_v = h_v*ops_v.borrowing.M.d1;
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229 end
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230
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231
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232 % Closure functions return the opertors applied to the own doamin to close the boundary
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233 % 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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234 % boundary is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
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235 % type is a string specifying the type of boundary condition if there are several.
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236 % data is a function returning the data that should be applied at the boundary.
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237 % neighbour_scheme is an instance of Scheme that should be interfaced to.
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238 % neighbour_boundary is a string specifying which boundary to interface to.
347
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239 function [closure, penalty] = boundary_condition(obj, boundary, type, parameter)
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240 default_arg('type','neumann');
347
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241 default_arg('parameter', []);
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242
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243 e = obj.getBoundaryOperator('e', boundary);
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244 d = obj.getBoundaryOperator('d', boundary);
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245 H_b = obj.getBoundaryQuadrature(boundary);
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246 gamm = obj.getBoundaryBorrowing(boundary);
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247 switch type
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248 % Dirichlet boundary condition
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249 case {'D','d','dirichlet'}
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250 tuning = 1.2;
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251 % tuning = 20.2;
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252
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253 b1 = gamm*obj.lambda./obj.a11.^2;
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254 b2 = gamm*obj.lambda./obj.a22.^2;
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255
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256 tau1 = tuning * spdiag(-1./b1 - 1./b2);
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257 tau2 = 1;
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258
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diff changeset
259 tau = (tau1*e + tau2*d)*H_b;
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260
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261 closure = obj.a*obj.Hi*tau*e';
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262 penalty = -obj.a*obj.Hi*tau;
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263
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264
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265 % Neumann boundary condition
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266 case {'N','n','neumann'}
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267 tau1 = -1;
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268 tau2 = 0;
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269 tau = (tau1*e + tau2*d)*H_b;
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270
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271 closure = obj.a*obj.Hi*tau*d';
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272 penalty = -obj.a*obj.Hi*tau;
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273
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274
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275 % Unknown, boundary condition
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276 otherwise
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277 error('No such boundary condition: type = %s',type);
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278 end
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279 end
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280
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281 % type Struct that specifies the interface coupling.
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282 % Fields:
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283 % -- tuning: penalty strength, defaults to 1.2
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284 % -- interpolation: type of interpolation, default 'none'
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parents: 927
diff changeset
285 function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary,type)
927
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parents: 925
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286
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parents: 925
diff changeset
287 defaultType.tuning = 1.2;
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diff changeset
288 defaultType.interpolation = 'none';
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parents: 927
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289 default_struct('type', defaultType);
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parents: 925
diff changeset
290
928
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Martin Almquist <malmquist@stanford.edu>
parents: 927
diff changeset
291 switch type.interpolation
927
4291731570bb Rename AWW OP. Make Interpolation operator classes take grid points as arguments. Remove LaplCurv.interpolationOperators. Introduce default struct in LaplCurv.interface.
Martin Almquist <malmquist@stanford.edu>
parents: 925
diff changeset
292 case {'none', ''}
940
31186559236d Add forgotten type argument in call to interfaceStandard in Schrodinger2d and LaplCurv.
Martin Almquist <malmquist@stanford.edu>
parents: 938
diff changeset
293 [closure, penalty] = interfaceStandard(obj,boundary,neighbour_scheme,neighbour_boundary,type);
1342
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
294 case {'op','OP','glue'}
928
1c61d8fa9903 Replace opts by type everywhere
Martin Almquist <malmquist@stanford.edu>
parents: 927
diff changeset
295 [closure, penalty] = interfaceNonConforming(obj,boundary,neighbour_scheme,neighbour_boundary,type);
927
4291731570bb Rename AWW OP. Make Interpolation operator classes take grid points as arguments. Remove LaplCurv.interpolationOperators. Introduce default struct in LaplCurv.interface.
Martin Almquist <malmquist@stanford.edu>
parents: 925
diff changeset
296 otherwise
4291731570bb Rename AWW OP. Make Interpolation operator classes take grid points as arguments. Remove LaplCurv.interpolationOperators. Introduce default struct in LaplCurv.interface.
Martin Almquist <malmquist@stanford.edu>
parents: 925
diff changeset
297 error('Unknown type of interpolation: %s ', type.interpolation);
904
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
298 end
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
299 end
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
300
928
1c61d8fa9903 Replace opts by type everywhere
Martin Almquist <malmquist@stanford.edu>
parents: 927
diff changeset
301 function [closure, penalty] = interfaceStandard(obj,boundary,neighbour_scheme,neighbour_boundary,type)
1c61d8fa9903 Replace opts by type everywhere
Martin Almquist <malmquist@stanford.edu>
parents: 927
diff changeset
302 tuning = type.tuning;
904
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
303
906
0499239496cf Remove property interpolation_type in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 904
diff changeset
304 % u denotes the solution in the own domain
0499239496cf Remove property interpolation_type in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 904
diff changeset
305 % v denotes the solution in the neighbour domain
1047
6bc55a773e7c Fix some mistakes from dc1bcbef2a86
Jonatan Werpers <jonatan@werpers.com>
parents: 1046
diff changeset
306 e_u = obj.getBoundaryOperator('e', boundary);
6bc55a773e7c Fix some mistakes from dc1bcbef2a86
Jonatan Werpers <jonatan@werpers.com>
parents: 1046
diff changeset
307 d_u = obj.getBoundaryOperator('d', boundary);
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
308 H_b_u = obj.getBoundaryQuadrature(boundary);
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
309 I_u = obj.getBoundaryIndices(boundary);
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
310 gamm_u = obj.getBoundaryBorrowing(boundary);
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
311
1047
6bc55a773e7c Fix some mistakes from dc1bcbef2a86
Jonatan Werpers <jonatan@werpers.com>
parents: 1046
diff changeset
312 e_v = neighbour_scheme.getBoundaryOperator('e', neighbour_boundary);
6bc55a773e7c Fix some mistakes from dc1bcbef2a86
Jonatan Werpers <jonatan@werpers.com>
parents: 1046
diff changeset
313 d_v = neighbour_scheme.getBoundaryOperator('d', neighbour_boundary);
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
314 H_b_v = neighbour_scheme.getBoundaryQuadrature(neighbour_boundary);
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
315 I_v = neighbour_scheme.getBoundaryIndices(neighbour_boundary);
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
316 gamm_v = neighbour_scheme.getBoundaryBorrowing(neighbour_boundary);
904
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
317
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
318 u = obj;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
319 v = neighbour_scheme;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
320
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
321 b1_u = gamm_u*u.lambda(I_u)./u.a11(I_u).^2;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
322 b2_u = gamm_u*u.lambda(I_u)./u.a22(I_u).^2;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
323 b1_v = gamm_v*v.lambda(I_v)./v.a11(I_v).^2;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
324 b2_v = gamm_v*v.lambda(I_v)./v.a22(I_v).^2;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
325
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
326 tau1 = -1./(4*b1_u) -1./(4*b1_v) -1./(4*b2_u) -1./(4*b2_v);
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
327 tau1 = tuning * spdiag(tau1);
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
328 tau2 = 1/2;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
329
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
330 sig1 = -1/2;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
331 sig2 = 0;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
332
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
333 tau = (e_u*tau1 + tau2*d_u)*H_b_u;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
334 sig = (sig1*e_u + sig2*d_u)*H_b_u;
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
335
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
336 closure = obj.a*obj.Hi*( tau*e_u' + sig*d_u');
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
337 penalty = obj.a*obj.Hi*(-tau*e_v' + sig*d_v');
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
338 end
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
339
928
1c61d8fa9903 Replace opts by type everywhere
Martin Almquist <malmquist@stanford.edu>
parents: 927
diff changeset
340 function [closure, penalty] = interfaceNonConforming(obj,boundary,neighbour_scheme,neighbour_boundary,type)
904
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
341
921
19c05eefc8c6 Add warning that interfaceNonConforming in LaplaceCurve only works for Cartesian grids.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
342 % TODO: Make this work for curvilinear grids
19c05eefc8c6 Add warning that interfaceNonConforming in LaplaceCurve only works for Cartesian grids.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
343 warning('LaplaceCurvilinear: Non-conforming grid interpolation only works for Cartesian grids.');
19c05eefc8c6 Add warning that interfaceNonConforming in LaplaceCurve only works for Cartesian grids.
Martin Almquist <malmquist@stanford.edu>
parents: 910
diff changeset
344
927
4291731570bb Rename AWW OP. Make Interpolation operator classes take grid points as arguments. Remove LaplCurv.interpolationOperators. Introduce default struct in LaplCurv.interface.
Martin Almquist <malmquist@stanford.edu>
parents: 925
diff changeset
345 % User can request special interpolation operators by specifying type.interpOpSet
928
1c61d8fa9903 Replace opts by type everywhere
Martin Almquist <malmquist@stanford.edu>
parents: 927
diff changeset
346 default_field(type, 'interpOpSet', @sbp.InterpOpsOP);
1c61d8fa9903 Replace opts by type everywhere
Martin Almquist <malmquist@stanford.edu>
parents: 927
diff changeset
347 interpOpSet = type.interpOpSet;
1c61d8fa9903 Replace opts by type everywhere
Martin Almquist <malmquist@stanford.edu>
parents: 927
diff changeset
348 tuning = type.tuning;
904
14b093a344eb Outline new interface method in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 743
diff changeset
349
927
4291731570bb Rename AWW OP. Make Interpolation operator classes take grid points as arguments. Remove LaplCurv.interpolationOperators. Introduce default struct in LaplCurv.interface.
Martin Almquist <malmquist@stanford.edu>
parents: 925
diff changeset
350
906
0499239496cf Remove property interpolation_type in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 904
diff changeset
351 % u denotes the solution in the own domain
0499239496cf Remove property interpolation_type in LaplaceCurvilinear
Martin Almquist <malmquist@stanford.edu>
parents: 904
diff changeset
352 % v denotes the solution in the neighbour domain
1045
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
353 e_u = obj.getBoundaryOperator('e', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
354 d_u = obj.getBoundaryOperator('d', boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
355 H_b_u = obj.getBoundaryQuadrature(boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
356 I_u = obj.getBoundaryIndices(boundary);
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
357 gamm_u = obj.getBoundaryBorrowing(boundary);
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
358
1045
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
359 e_v = neighbour_scheme.getBoundaryOperator('e', neighbour_boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
360 d_v = neighbour_scheme.getBoundaryOperator('d', neighbour_boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
361 H_b_v = neighbour_scheme.getBoundaryQuadrature(neighbour_boundary);
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
362 I_v = neighbour_scheme.getBoundaryIndices(neighbour_boundary);
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
363 gamm_v = neighbour_scheme.getBoundaryBorrowing(neighbour_boundary);
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
364
720
07f8311374c6 Add interpolation to LaplaceCurveilinear.
Martin Almquist <malmquist@stanford.edu>
parents: 567
diff changeset
365
938
97291e1bd57c Make LaplCurv send only number of grid points to InterpOpsXX. Remove coordinates from get_boundary_ops method.
Martin Almquist <malmquist@stanford.edu>
parents: 936
diff changeset
366 % Find the number of grid points along the interface
97291e1bd57c Make LaplCurv send only number of grid points to InterpOpsXX. Remove coordinates from get_boundary_ops method.
Martin Almquist <malmquist@stanford.edu>
parents: 936
diff changeset
367 m_u = size(e_u, 2);
97291e1bd57c Make LaplCurv send only number of grid points to InterpOpsXX. Remove coordinates from get_boundary_ops method.
Martin Almquist <malmquist@stanford.edu>
parents: 936
diff changeset
368 m_v = size(e_v, 2);
922
1d91c2a8aada Refactor LaplCurv.interfaceNonConf. Add method for interpolation operator generation in LaplCurv
Martin Almquist <malmquist@stanford.edu>
parents: 921
diff changeset
369
720
07f8311374c6 Add interpolation to LaplaceCurveilinear.
Martin Almquist <malmquist@stanford.edu>
parents: 567
diff changeset
370 Hi = obj.Hi;
07f8311374c6 Add interpolation to LaplaceCurveilinear.
Martin Almquist <malmquist@stanford.edu>
parents: 567
diff changeset
371
5
5f6b0b6a012b First try at interface implementation in WaveCurve2s
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
372 u = obj;
5f6b0b6a012b First try at interface implementation in WaveCurve2s
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
373 v = neighbour_scheme;
5f6b0b6a012b First try at interface implementation in WaveCurve2s
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
374
1342
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
375 a_u = u.a;
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
376 a_v = v.a;
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
377
85
643bc513b8b8 Wave2DCurve: Fixed error in tau. Also made random guess at fixing theory from paper.
Jonatan Werpers <jonatan@werpers.com>
parents: 83
diff changeset
378 b1_u = gamm_u*u.lambda(I_u)./u.a11(I_u).^2;
643bc513b8b8 Wave2DCurve: Fixed error in tau. Also made random guess at fixing theory from paper.
Jonatan Werpers <jonatan@werpers.com>
parents: 83
diff changeset
379 b2_u = gamm_u*u.lambda(I_u)./u.a22(I_u).^2;
643bc513b8b8 Wave2DCurve: Fixed error in tau. Also made random guess at fixing theory from paper.
Jonatan Werpers <jonatan@werpers.com>
parents: 83
diff changeset
380 b1_v = gamm_v*v.lambda(I_v)./v.a11(I_v).^2;
643bc513b8b8 Wave2DCurve: Fixed error in tau. Also made random guess at fixing theory from paper.
Jonatan Werpers <jonatan@werpers.com>
parents: 83
diff changeset
381 b2_v = gamm_v*v.lambda(I_v)./v.a22(I_v).^2;
5
5f6b0b6a012b First try at interface implementation in WaveCurve2s
Jonatan Werpers <jonatan@werpers.com>
parents: 0
diff changeset
382
720
07f8311374c6 Add interpolation to LaplaceCurveilinear.
Martin Almquist <malmquist@stanford.edu>
parents: 567
diff changeset
383 tau_u = -1./(4*b1_u) -1./(4*b2_u);
07f8311374c6 Add interpolation to LaplaceCurveilinear.
Martin Almquist <malmquist@stanford.edu>
parents: 567
diff changeset
384 tau_v = -1./(4*b1_v) -1./(4*b2_v);
07f8311374c6 Add interpolation to LaplaceCurveilinear.
Martin Almquist <malmquist@stanford.edu>
parents: 567
diff changeset
385
07f8311374c6 Add interpolation to LaplaceCurveilinear.
Martin Almquist <malmquist@stanford.edu>
parents: 567
diff changeset
386 tau_u = tuning * spdiag(tau_u);
07f8311374c6 Add interpolation to LaplaceCurveilinear.
Martin Almquist <malmquist@stanford.edu>
parents: 567
diff changeset
387 tau_v = tuning * spdiag(tau_v);
07f8311374c6 Add interpolation to LaplaceCurveilinear.
Martin Almquist <malmquist@stanford.edu>
parents: 567
diff changeset
388 beta_u = tau_v;
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
389
922
1d91c2a8aada Refactor LaplCurv.interfaceNonConf. Add method for interpolation operator generation in LaplCurv
Martin Almquist <malmquist@stanford.edu>
parents: 921
diff changeset
390 % Build interpolation operators
1342
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
391 switch type.interpolation
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
392 case {'op','OP','MC','mc'}
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
393 intOps = interpOpSet(m_u, m_v, obj.order, neighbour_scheme.order);
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
394 Iu2v = intOps.Iu2v;
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
395 Iv2u = intOps.Iv2u;
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
396 case 'glue'
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
397 optype = type.optype; % TODO: Should be stored by the scheme?
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
398 xu = obj.getBoundaryGrid(boundary);
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
399 xv = neighbour_scheme.getBoundaryGrid(neighbour_boundary);
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
400 hu = obj.getBoundaryGridSpacing(boundary);
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
401 hv = neighbour_scheme.getBoundaryGridSpacing(neighbour_boundary);
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
402 glueOps = interpOpSet(xu, xv, hu, hv, obj.order, neighbour_scheme.order, optype, optype);
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
403 Iu2v = glueOps.Iu2v;
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
404 Iv2u = glueOps.Iv2u;
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
405 otherwise
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
406 error();
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
407 end
922
1d91c2a8aada Refactor LaplCurv.interfaceNonConf. Add method for interpolation operator generation in LaplCurv
Martin Almquist <malmquist@stanford.edu>
parents: 921
diff changeset
408
1342
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
409 closure = a_u*Hi*e_u*tau_u*H_b_u*e_u' + ...
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
410 a_v*Hi*e_u*H_b_u*Iv2u.bad*beta_u*Iu2v.good*e_u' + ...
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
411 a_u*1/2*Hi*d_u*H_b_u*e_u' + ...
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
412 -a_u*1/2*Hi*e_u*H_b_u*d_u';
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
413
1342
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
414 penalty = -a_u*Hi*e_u*tau_u*H_b_u*Iv2u.good*e_v' + ...
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
415 -a_v*Hi*e_u*H_b_u*Iv2u.bad*beta_u*e_v' + ...
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
416 -a_u*1/2*Hi*d_u*H_b_u*Iv2u.good*e_v' + ...
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
417 -a_v*1/2*Hi*e_u*H_b_u*Iv2u.bad*d_v';
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
418
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
419 end
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
420
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
421 % Returns the boundary operator op for the boundary specified by the string boundary.
1045
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
422 % op -- string
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
423 % boundary -- string
1045
dc1bcbef2a86 Remove ability to get several boundary ops at the same time from a few of the schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1042
diff changeset
424 function o = getBoundaryOperator(obj, op, boundary)
1046
19ed046aec52 Clean up getBoundaryOps for a few schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1045
diff changeset
425 assertIsMember(op, {'e', 'd'})
1042
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 997
diff changeset
426 assertIsMember(boundary, {'w', 'e', 's', 'n'})
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
427
1046
19ed046aec52 Clean up getBoundaryOps for a few schemes
Jonatan Werpers <jonatan@werpers.com>
parents: 1045
diff changeset
428 o = obj.([op, '_', boundary]);
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
429 end
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
430
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
431 % Returns square boundary quadrature matrix, of dimension
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
432 % corresponding to the number of boundary points
85
643bc513b8b8 Wave2DCurve: Fixed error in tau. Also made random guess at fixing theory from paper.
Jonatan Werpers <jonatan@werpers.com>
parents: 83
diff changeset
433 %
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
434 % boundary -- string
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
435 function H_b = getBoundaryQuadrature(obj, boundary)
1042
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 997
diff changeset
436 assertIsMember(boundary, {'w', 'e', 's', 'n'})
85
643bc513b8b8 Wave2DCurve: Fixed error in tau. Also made random guess at fixing theory from paper.
Jonatan Werpers <jonatan@werpers.com>
parents: 83
diff changeset
437
1051
84200bbae101 Bugfix: add missing brackets in getBoundaryQuadrature in LaplCurv and Utux2d
Martin Almquist <malmquist@stanford.edu>
parents: 1047
diff changeset
438 H_b = obj.(['H_', boundary]);
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
439 end
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
440
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
441 % Returns the indices of the boundary points in the grid matrix
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
442 % boundary -- string
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
443 function I = getBoundaryIndices(obj, boundary)
1042
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 997
diff changeset
444 assertIsMember(boundary, {'w', 'e', 's', 'n'})
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 997
diff changeset
445
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
446 ind = grid.funcToMatrix(obj.grid, 1:prod(obj.m));
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
447 switch boundary
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
448 case 'w'
337
e070ebd94d9d Updated Wave2dCurve to use the new grid classes.
Jonatan Werpers <jonatan@werpers.com>
parents: 303
diff changeset
449 I = ind(1,:);
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
450 case 'e'
337
e070ebd94d9d Updated Wave2dCurve to use the new grid classes.
Jonatan Werpers <jonatan@werpers.com>
parents: 303
diff changeset
451 I = ind(end,:);
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
452 case 's'
337
e070ebd94d9d Updated Wave2dCurve to use the new grid classes.
Jonatan Werpers <jonatan@werpers.com>
parents: 303
diff changeset
453 I = ind(:,1)';
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
454 case 'n'
337
e070ebd94d9d Updated Wave2dCurve to use the new grid classes.
Jonatan Werpers <jonatan@werpers.com>
parents: 303
diff changeset
455 I = ind(:,end)';
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
456 end
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
457 end
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
458
982
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
459 % Returns borrowing constant gamma
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
460 % boundary -- string
a0b3161e44f3 Add the following methods in LaplaceCurvilinear: getBoundaryOperator, getBoundaryQuadrature, getBoundaryBorrowing. Remove get_boundary_ops. Make interface and boundary_condition methods use the new methods.
Martin Almquist <malmquist@stanford.edu>
parents: 946
diff changeset
461 function gamm = getBoundaryBorrowing(obj, boundary)
1042
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 997
diff changeset
462 assertIsMember(boundary, {'w', 'e', 's', 'n'})
8d73fcdb07a5 Add asserts to boundary identifier inputs
Jonatan Werpers <jonatan@werpers.com>
parents: 997
diff changeset
463
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
464 switch boundary
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
465 case {'w','e'}
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
466 gamm = obj.gamm_u;
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
467 case {'s','n'}
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
468 gamm = obj.gamm_v;
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
469 end
922
1d91c2a8aada Refactor LaplCurv.interfaceNonConf. Add method for interpolation operator generation in LaplCurv
Martin Almquist <malmquist@stanford.edu>
parents: 921
diff changeset
470 end
1d91c2a8aada Refactor LaplCurv.interfaceNonConf. Add method for interpolation operator generation in LaplCurv
Martin Almquist <malmquist@stanford.edu>
parents: 921
diff changeset
471
1342
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
472 function xb = getBoundaryGrid(obj, boundary)
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
473 assertIsMember(boundary, {'w', 'e', 's', 'n'})
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
474 if isa(obj.grid,'grid.Cartesian')
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
475 lg = obj.grid;
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
476 elseif isa(obj.grid,'grid.Curvilinear')
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
477 lg = obj.grid.logicalGrid();
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
478 else
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
479 error('Grid type not supported');
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
480 end
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
481 switch boundary
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
482 case {'w','e'}
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
483 xb = lg.x{2};
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
484 case {'s','n'}
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
485 xb = lg.x{1};
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
486 end
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
487 end
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
488
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
489 function hb = getBoundaryGridSpacing(obj, boundary)
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
490 h = obj.grid.scaling();
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
491 switch boundary
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
492 case {'w','e'}
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
493 hb = h(2);
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
494 case {'s','n'}
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
495 hb = h(1);
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
496 end
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
497 end
d1dad4fbfe22 Add support for glue interpolation operators, and separate wave speeds across interfaces
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 1051
diff changeset
498
0
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
499 function N = size(obj)
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
500 N = prod(obj.m);
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
501 end
48b6fb693025 Initial commit.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
502 end
566
9c98a0526afc Switch implementation of boundary and interface to SBP notation
Jonatan Werpers <jonatan@werpers.com>
parents: 565
diff changeset
503 end