Mercurial > repos > public > sbplib
changeset 1123:ff39d6692489 feature/poroelastic
Merge heads
| author | Martin Almquist <malmquist@stanford.edu> |
|---|---|
| date | Sat, 11 May 2019 16:36:33 -0700 |
| parents | b8bd54332763 (diff) dd25184e71ec (current diff) |
| children | c2d281633e14 |
| files | |
| diffstat | 1 files changed, 24 insertions(+), 24 deletions(-) [+] |
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--- a/+scheme/Elastic2dCurvilinear.m Sat May 11 15:11:04 2019 -0700 +++ b/+scheme/Elastic2dCurvilinear.m Sat May 11 16:36:33 2019 -0700 @@ -3,12 +3,12 @@ % Discretizes the elastic wave equation in curvilinear coordinates. % % Untransformed equation: -% rho u_{i,tt} = di lambda dj u_j + dj mu di u_j + dj mu dj u_i +% rho u_{i,tt} = di lambda dj u_j + dj mu di u_j + dj mu dj u_i % % Transformed equation: -% J*rho u_{i,tt} = dk J b_ik lambda b_jl dl u_j -% + dk J b_jk mu b_il dl u_j -% + dk J b_jk mu b_jl dl u_i +% J*rho u_{i,tt} = dk J b_ik lambda b_jl dl u_j +% + dk J b_jk mu b_il dl u_j +% + dk J b_jk mu b_jl dl u_i % opSet should be cell array of opSets, one per dimension. This % is useful if we have periodic BC in one direction. @@ -49,7 +49,7 @@ e_l, e_r d1_l, d1_r % Normal derivatives at the boundary E % E{i}^T picks out component i - + H_boundary_l, H_boundary_r % Boundary inner products % Kroneckered norms and coefficients @@ -145,7 +145,7 @@ opSetMetric{1} = sbp.D2Variable(m(1), {0, xmax}, order); opSetMetric{2} = sbp.D2Variable(m(2), {0, ymax}, order); D1Metric{1} = kron(opSetMetric{1}.D1, I{2}); - D1Metric{2} = kron(I{1}, opSetMetric{2}.D1); + D1Metric{2} = kron(I{1}, opSetMetric{2}.D1); x_xi = D1Metric{1}*x; x_eta = D1Metric{2}*x; @@ -156,8 +156,8 @@ b = cell(dim,dim); b{1,1} = y_eta./J; - b{1,2} = -x_eta./J; - b{2,1} = -y_xi./J; + b{2,1} = -x_eta./J; + b{1,2} = -y_xi./J; b{2,2} = x_xi./J; % Scale factors for boundary integrals @@ -327,12 +327,12 @@ for m = 1:dim for l = 1:dim - T_l{j}{i,k} = T_l{j}{i,k} + ... + T_l{j}{i,k} = T_l{j}{i,k} + ... -d(k,l)* J*b{i,j}*b{k,m}*LAMBDA*(d(m,j)*e_l{m}*d1_l{m}' + db(m,j)*D1{m}) ... -d(k,l)* J*b{k,j}*b{i,m}*MU*(d(m,j)*e_l{m}*d1_l{m}' + db(m,j)*D1{m}) ... -d(i,k)* J*b{l,j}*b{l,m}*MU*(d(m,j)*e_l{m}*d1_l{m}' + db(m,j)*D1{m}); - T_r{j}{i,k} = T_r{j}{i,k} + ... + T_r{j}{i,k} = T_r{j}{i,k} + ... d(k,l)* J*b{i,j}*b{k,m}*LAMBDA*(d(m,j)*e_r{m}*d1_r{m}' + db(m,j)*D1{m}) + ... d(k,l)* J*b{k,j}*b{i,m}*MU*(d(m,j)*e_r{m}*d1_r{m}' + db(m,j)*D1{m}) + ... d(i,k)* J*b{l,j}*b{l,m}*MU*(d(m,j)*e_r{m}*d1_r{m}' + db(m,j)*D1{m}); @@ -340,7 +340,7 @@ end T_l{j}{i,k} = inv(beta{j})*T_l{j}{i,k}; - T_r{j}{i,k} = inv(beta{j})*T_r{j}{i,k}; + T_r{j}{i,k} = inv(beta{j})*T_r{j}{i,k}; tau_l{j}{i} = tau_l{j}{i} + T_l{j}{i,k}*E{k}'; tau_r{j}{i} = tau_r{j}{i} + T_r{j}{i,k}*E{k}'; @@ -423,20 +423,20 @@ db = @(i,j) 1-d(i,j); % Logical not of Kronecker delta alpha = @(i,j) tuning*( d(i,j)* a_lambda*LAMBDA ... + d(i,j)* a_mu_i*MU ... - + db(i,j)*a_mu_ij*MU ); + + db(i,j)*a_mu_ij*MU ); % Loop over components that Dirichlet penalties end up on for i = 1:dim C = T{k,i}; A = -d(i,k)*alpha(i,j); B = A + C; - closure = closure + E{i}*RHOi*Hi*Ji*B'*e*H_gamma*(e'*E{k}' ); + closure = closure + E{i}*RHOi*Hi*Ji*B'*e*H_gamma*(e'*E{k}' ); penalty = penalty - E{i}*RHOi*Hi*Ji*B'*e*H_gamma; - end + end % Free boundary condition case {'F','f','Free','free','traction','Traction','t','T'} - closure = closure - E{k}*RHOi*Ji*Hi*e*H_gamma* (e'*tau{k} ); + closure = closure - E{k}*RHOi*Ji*Hi*e*H_gamma* (e'*tau{k} ); penalty = penalty + E{k}*RHOi*Ji*Hi*e*H_gamma; % Unknown boundary condition @@ -464,7 +464,7 @@ Hi = obj.Hi; RHOi = obj.RHOi; dim = obj.dim; - + %--- Other operators ---- m_tot_u = obj.grid.N(); E = obj.E; @@ -480,7 +480,7 @@ lambda_v = e_v'*LAMBDA_v*e_v; mu_v = e_v'*MU_v*e_v; %------------------------- - + % Borrowing constants phi_u = obj.phi{j}; h_u = obj.h(j); @@ -493,7 +493,7 @@ gamma_v = neighbour_scheme.gamma{j_v}; % E > sum_i 1/(2*alpha_ij)*(tau_i)^2 - function [alpha_ii, alpha_ij] = computeAlpha(phi,h,h11,gamma,lambda,mu) + function [alpha_ii, alpha_ij] = computeAlpha(phi,h,h11,gamma,lambda,mu) th1 = h11/(2*dim); th2 = h11*phi/2; th3 = h*gamma; @@ -505,7 +505,7 @@ end [alpha_ii_u, alpha_ij_u] = computeAlpha(phi_u,h_u,h11_u,gamma_u,lambda_u,mu_u); - [alpha_ii_v, alpha_ij_v] = computeAlpha(phi_v,h_v,h11_v,gamma_v,lambda_v,mu_v); + [alpha_ii_v, alpha_ij_v] = computeAlpha(phi_v,h_v,h11_v,gamma_v,lambda_v,mu_v); sigma_ii = tuning*(alpha_ii_u + alpha_ii_v)/4; sigma_ij = tuning*(alpha_ij_u + alpha_ij_v)/4; @@ -527,9 +527,9 @@ % Loop over components that we have interface conditions on for k = 1:dim - closure = closure + 1/2*E{i}*RHOi*Hi*T{k,i}'*e*H_gamma*e'*E{k}'; - penalty = penalty - 1/2*E{i}*RHOi*Hi*T{k,i}'*e*H_gamma*e_v'*E_v{k}'; - end + closure = closure + 1/2*E{i}*RHOi*Hi*T{k,i}'*e*H_gamma*e'*E{k}'; + penalty = penalty - 1/2*E{i}*RHOi*Hi*T{k,i}'*e*H_gamma*e_v'*E_v{k}'; + end end end @@ -587,7 +587,7 @@ varargout{i} = obj.d1_r{j}; end case 'H' - switch boundary + switch boundary case {'w','W','west','West','s','S','south','South'} varargout{i} = obj.H_boundary_l{j}; case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'} @@ -606,7 +606,7 @@ varargout{i} = obj.tau_l{j}; case {'e', 'E', 'east', 'East','n', 'N', 'north', 'North'} varargout{i} = obj.tau_r{j}; - end + end otherwise error(['No such operator: operator = ' op{i}]); end