Mercurial > repos > public > sbplib
view +sbp/+implementations/intOpOP_orders_8to8_ratio2to1.m @ 1037:2d7ba44340d0 feature/burgers1d
Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Fri, 18 Jan 2019 09:02:02 +0100 |
parents | 4291731570bb |
children |
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function [IC2F,IF2C,Hc,Hf] = IntOpOP_orders_8to8_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_8to8_ratio_2to1_accC2F4_accF2C5; case 'C2F' [stencil_F2C,BC_F2C,HcU,HfU] = ... sbp.implementations.intOpOP_orders_8to8_ratio_2to1_accC2F5_accF2C4; 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;