Mercurial > repos > public > sbplib
view +sbp/+implementations/intOpOP_orders_6to6_ratio2to1.m @ 1198:2924b3a9b921 feature/d2_compatible
Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author | Martin Almquist <malmquist@stanford.edu> |
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date | Fri, 16 Aug 2019 14:30:28 -0700 |
parents | 4291731570bb |
children |
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function [IC2F,IF2C,Hc,Hf] = IntOpOP_orders_6to6_ratio2to1(mc,hc,ACC) % ACC is a string. % ACC = 'C2F' creates IC2F with one order of accuracy higher than IF2C. % ACC = 'F2C' creates IF2C with one order of accuracy higher than IC2F. ratio = 2; mf = ratio*mc-1; hf = hc/ratio; switch ACC case 'F2C' [stencil_F2C,BC_F2C,HcU,HfU] = ... sbp.implementations.intOpOP_orders_6to6_ratio_2to1_accC2F3_accF2C4; case 'C2F' [stencil_F2C,BC_F2C,HcU,HfU] = ... sbp.implementations.intOpOP_orders_6to6_ratio_2to1_accC2F4_accF2C3; end stencil_width = length(stencil_F2C); stencil_hw = (stencil_width-1)/2; [BC_rows,BC_cols] = size(BC_F2C); %%% Norm matrices %%% Hc = speye(mc,mc); HcUm = length(HcU); Hc(1:HcUm,1:HcUm) = spdiags(HcU',0,HcUm,HcUm); Hc(mc-HcUm+1:mc,mc-HcUm+1:mc) = spdiags(rot90(HcU',2),0,HcUm,HcUm); Hc = Hc*hc; Hf = speye(mf,mf); HfUm = length(HfU); Hf(1:HfUm,1:HfUm) = spdiags(HfU',0,HfUm,HfUm); Hf(mf-length(HfU)+1:mf,mf-length(HfU)+1:mf) = spdiags(rot90(HfU',2),0,HfUm,HfUm); Hf = Hf*hf; %%%%%%%%%%%%%%%%%%%%%% %%% Create IF2C from stencil and BC IF2C = sparse(mc,mf); for i = BC_rows+1 : mc-BC_rows IF2C(i,ratio*i-1+(-stencil_hw:stencil_hw)) = stencil_F2C; %#ok<SPRIX> end IF2C(1:BC_rows,1:BC_cols) = BC_F2C; IF2C(end-BC_rows+1:end,end-BC_cols+1:end) = rot90(BC_F2C,2); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%% Create IC2F using symmetry condition %%%% IC2F = Hf\IF2C.'*Hc;