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>
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;