Mercurial > repos > public > sbplib
diff +sbp/D1Staggered.m @ 636:476b7e411ce3 feature/d1_staggered
Add staggered operators
author | Martin Almquist <malmquist@stanford.edu> |
---|---|
date | Tue, 07 Nov 2017 20:44:13 -0800 |
parents | |
children | eead18a8964d |
line wrap: on
line diff
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/D1Staggered.m Tue Nov 07 20:44:13 2017 -0800 @@ -0,0 +1,83 @@ +classdef D1Staggered < sbp.OpSet + properties + % xp: "plus" grid with m points + % xm: "minus" grid with m+1 points + + D1p % SBP operator approximating first derivative + D1m % SBP operator approximating first derivative + Hp % Norm matrix + Hm % Norm matrix + HpI % H^-1 + HmI % H^-1 + ep_l % Left boundary operator + em_l % Left boundary operator + ep_r % Right boundary operator + em_r % Right boundary operator + m % Number of grid points. + mp % Number of grid points. + mm % Number of grid points. + h % Step size + xp % grid + xm % grid + x + borrowing % Struct with borrowing limits for different norm matrices + end + + methods + function obj = D1Staggered(m,lim,order) + + x_l = lim{1}; + x_r = lim{2}; + L = x_r-x_l; + + mp = m; + mm = m+1; + + switch order + case 2 + [xp, xm, Pp, Pm, Qp, Qm] = sbp.implementations.d1_staggered_2(m, L); + case 4 + [xp, xm, Pp, Pm, Qp, Qm] = sbp.implementations.d1_staggered_4(m, L); + case 6 + [xp, xm, Pp, Pm, Qp, Qm] = sbp.implementations.d1_staggered_6(m, L); + otherwise + error('Invalid operator order %d.',order); + end + + obj.m = m; + obj.mp = mp; + obj.mm = mm; + obj.xp = x_l + xp'; + obj.xm = x_l + xm'; + + D1p = Pp\Qp; + D1m = Pm\Qm; + + obj.D1p = D1p; + obj.D1m = D1m; + pbj.Hp = Pp; + obj.Hm = Pm; + + obj.ep_l = sparse(mp,1); + obj.ep_r = sparse(mp,1); + obj.ep_l(1) = 1; + obj.ep_r(mp) = 1; + + obj.em_l = sparse(mm,1); + obj.em_r = sparse(mm,1); + obj.em_l(1) = 1; + obj.em_r(mm) = 1; + + obj.HpI = inv(obj.Hp); + obj.HmI = inv(obj.Hm); + + obj.borrowing = []; + obj.x = []; + + end + + function str = string(obj) + str = [class(obj) '_' num2str(obj.order)]; + end + end +end