Mercurial > repos > public > sbplib
diff +sbp/D1StaggeredUpwind.m @ 1259:99f92bfc1157 feature/poroelastic
Add staggered operators and 1D grids
author | Martin Almquist <malmquist@stanford.edu> |
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date | Tue, 14 Apr 2020 17:50:49 -0700 |
parents | |
children | a3f2c1781612 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/D1StaggeredUpwind.m Tue Apr 14 17:50:49 2020 -0700 @@ -0,0 +1,95 @@ +classdef D1StaggeredUpwind < sbp.OpSet + % Compatible staggered and upwind operators by Ken Mattsson and Ossian O'reilly + properties + % x_primal: "primal" grid with m points. Equidistant. Called Plus grid in Ossian's paper. + % x_dual: "dual" grid with m+1 points. Called Minus grid in Ossian's paper. + + % D1_primal takes FROM dual grid TO primal grid + % D1_dual takes FROM primal grid TO dual grid + + D1_primal % SBP operator approximating first derivative + D1_dual % SBP operator approximating first derivative + + Dplus_primal % Upwind operator on primal grid + Dminus_primal % Upwind operator on primal grid + Dplus_dual % Upwind operator on dual grid + Dminus_dual % Upwind operator on dual grid + + H_primal % Norm matrix + H_dual % Norm matrix + H_primalI % H^-1 + H_dualI % H^-1 + e_primal_l % Left boundary operator + e_dual_l % Left boundary operator + e_primal_r % Right boundary operator + e_dual_r % Right boundary operator + m % Number of grid points. + m_primal % Number of grid points. + m_dual % Number of grid points. + h % Step size + x_primal % grid + x_dual % grid + x + borrowing % Struct with borrowing limits for different norm matrices + end + + methods + function obj = D1StaggeredUpwind(m,lim,order) + + x_l = lim{1}; + x_r = lim{2}; + L = x_r-x_l; + + m_primal = m; + m_dual = m+1; + + switch order + case 2 + [obj.x_primal, obj.x_dual, obj.H_primal, obj.H_dual,... + obj.H_primalI, obj.H_dualI,... + obj.D1_primal, obj.D1_dual, obj.Dplus_primal, obj.Dminus_primal,... + obj.Dplus_dual, obj.Dminus_dual] = sbp.implementations.d1_staggered_upwind_2(m, L); + case 4 + [obj.x_primal, obj.x_dual, obj.H_primal, obj.H_dual,... + obj.H_primalI, obj.H_dualI,... + obj.D1_primal, obj.D1_dual, obj.Dplus_primal, obj.Dminus_primal,... + obj.Dplus_dual, obj.Dminus_dual] = sbp.implementations.d1_staggered_upwind_4(m, L); + case 6 + [obj.x_primal, obj.x_dual, obj.H_primal, obj.H_dual,... + obj.H_primalI, obj.H_dualI,... + obj.D1_primal, obj.D1_dual, obj.Dplus_primal, obj.Dminus_primal,... + obj.Dplus_dual, obj.Dminus_dual] = sbp.implementations.d1_staggered_upwind_6(m, L); + case 8 + [obj.x_primal, obj.x_dual, obj.H_primal, obj.H_dual,... + obj.H_primalI, obj.H_dualI,... + obj.D1_primal, obj.D1_dual, obj.Dplus_primal, obj.Dminus_primal,... + obj.Dplus_dual, obj.Dminus_dual] = sbp.implementations.d1_staggered_upwind_8(m, L); + otherwise + error('Invalid operator order %d.',order); + end + + obj.m = m; + obj.m_primal = m_primal; + obj.m_dual = m_dual; + obj.h = L/(m-1); + + obj.e_primal_l = sparse(m_primal,1); + obj.e_primal_r = sparse(m_primal,1); + obj.e_primal_l(1) = 1; + obj.e_primal_r(m_primal) = 1; + + obj.e_dual_l = sparse(m_dual,1); + obj.e_dual_r = sparse(m_dual,1); + obj.e_dual_l(1) = 1; + obj.e_dual_r(m_dual) = 1; + + obj.borrowing = []; + obj.x = []; + + end + + function str = string(obj) + str = [class(obj) '_' num2str(obj.order)]; + end + end +end