Mercurial > repos > public > sbplib
changeset 781:69ab0e69f972 feature/interpolation
Merge with feature/grids
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Tue, 24 Jul 2018 20:14:29 -0700 |
| parents | 005a8d071da3 (diff) e7a6744499fa (current diff) |
| children | 3c3280ebabb3 |
| files | +multiblock/Def.m diffSymfun.m |
| diffstat | 19 files changed, 741 insertions(+), 0 deletions(-) [+] |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_2to2_ratio2to1.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,47 @@ +function [IC2F,IF2C,Hc,Hf] = IntOp_orders_2to2_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.intOpAWW_orders_2to2_ratio_2to1_accC2F1_accF2C2; + case 'C2F' + [stencil_F2C,BC_F2C,HcU,HfU] = ... + sbp.implementations.intOpAWW_orders_2to2_ratio_2to1_accC2F2_accF2C1; +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; \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_2to2_ratio_2to1_accC2F1_accF2C2.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,17 @@ +function [stencil_F2C,BC_F2C,HcU,HfU] = intOpAWW_orders_2to2_ratio_2to1_accC2F1_accF2C2 +%INT_ORDERS_2TO2_RATIO_2TO1_ACCC2F1_ACCF2C2_STENCIL_5_BC_2_5 +% [STENCIL_F2C,BC_F2C,HCU,HFU] = INT_ORDERS_2TO2_RATIO_2TO1_ACCC2F1_ACCF2C2_STENCIL_5_BC_2_5 + +% This function was generated by the Symbolic Math Toolbox version 8.0. +% 21-May-2018 15:36:07 + +stencil_F2C = [-1.0./8.0,1.0./4.0,3.0./4.0,1.0./4.0,-1.0./8.0]; +if nargout > 1 + BC_F2C = reshape([6.288191560529559e-1,-6.440957802647795e-2,6.855471317807184e-1,1.572264341096408e-1,-2.438028498638558e-1,7.469014249319279e-1,-8.431231982626708e-2,2.921561599131335e-1,1.374888185644862e-2,-1.318744409282243e-1],[2,5]); +end +if nargout > 2 + HcU = 1.0./2.0; +end +if nargout > 3 + HfU = 1.0./2.0; +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_2to2_ratio_2to1_accC2F2_accF2C1.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,17 @@ +function [stencil_F2C,BC_F2C,HcU,HfU] = intOpAWW_orders_2to2_ratio_2to1_accC2F2_accF2C1 +%INT_ORDERS_2TO2_RATIO_2TO1_ACCC2F2_ACCF2C1_STENCIL_5_BC_1_3 +% [STENCIL_F2C,BC_F2C,HCU,HFU] = INT_ORDERS_2TO2_RATIO_2TO1_ACCC2F2_ACCF2C1_STENCIL_5_BC_1_3 + +% This function was generated by the Symbolic Math Toolbox version 8.0. +% 21-May-2018 15:36:08 + +stencil_F2C = [1.0./4.0,1.0./2.0,1.0./4.0]; +if nargout > 1 + BC_F2C = [1.0./2.0,1.0./2.0]; +end +if nargout > 2 + HcU = 1.0./2.0; +end +if nargout > 3 + HfU = 1.0./2.0; +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_4to4_ratio2to1.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,47 @@ +function [IC2F,IF2C,Hc,Hf] = IntOp_orders_4to4_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.intOpAWW_orders_4to4_ratio_2to1_accC2F2_accF2C3; + case 'C2F' + [stencil_F2C,BC_F2C,HcU,HfU] = ... + sbp.implementations.intOpAWW_orders_4to4_ratio_2to1_accC2F3_accF2C2; +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; \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_4to4_ratio_2to1_accC2F2_accF2C3.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,18 @@ +function [stencil_F2C,BC_F2C,HcU,HfU] = intOpAWW_orders_4to4_ratio_2to1_accC2F2_accF2C3 +%INT_ORDERS_4TO4_RATIO_2TO1_ACCC2F2_ACCF2C3_STENCIL_9_BC_3_11 +% [STENCIL_F2C,BC_F2C,HCU,HFU] = INT_ORDERS_4TO4_RATIO_2TO1_ACCC2F2_ACCF2C3_STENCIL_9_BC_3_11 + +% This function was generated by the Symbolic Math Toolbox version 8.0. +% 21-May-2018 15:36:01 + +stencil_F2C = [7.0./2.56e2,-1.0./3.2e1,-7.0./6.4e1,9.0./3.2e1,8.5e1./1.28e2,9.0./3.2e1,-7.0./6.4e1,-1.0./3.2e1,7.0./2.56e2]; +if nargout > 1 + BC_F2C = reshape([7.523257802630956e-2,2.447812262221267e-1,-1.679313063616916e-1,1.290510950666589,6.315723344677289e-3,1.67178747937954e-1,1.982667903557025,-7.554383893379468e-1,7.215271362899867e-1,-2.820478831383137,1.807034411305536,-7.589683751979843e-1,-7.685973268458095e-1,3.965751544535173e-1,4.119789638051451e-1,1.574000556785898e-1,-1.113618964927466e-1,3.631000220124657e-1,1.639694219982991,-9.114074742274862e-1,4.952715520862987e-1,-4.524162151353456e-1,2.65481378213589e-1,-2.268273408674622e-1,3.455365956773523e-1,-2.009765975089827e-1,1.722179564305811e-1,-5.52933488235368e-1,3.18109976271229e-1,-2.171481232558432e-1,1.033835580108027e-1,-5.911351224351343e-2,3.960076712054991e-2],[3,11]); +end +if nargout > 2 + t2 = [1.7e1./4.8e1,5.9e1./4.8e1,4.3e1./4.8e1,4.9e1./4.8e1]; + HcU = t2; +end +if nargout > 3 + HfU = t2; +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_4to4_ratio_2to1_accC2F3_accF2C2.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,18 @@ +function [stencil_F2C,BC_F2C,HcU,HfU] = intOpAWW_orders_4to4_ratio_2to1_accC2F3_accF2C2 +%INT_ORDERS_4TO4_RATIO_2TO1_ACCC2F3_ACCF2C2_STENCIL_9_BC_3_11 +% [STENCIL_F2C,BC_F2C,HCU,HFU] = INT_ORDERS_4TO4_RATIO_2TO1_ACCC2F3_ACCF2C2_STENCIL_9_BC_3_11 + +% This function was generated by the Symbolic Math Toolbox version 8.0. +% 21-May-2018 15:36:05 + +stencil_F2C = [-1.0./2.56e2,-1.0./3.2e1,1.0./6.4e1,9.0./3.2e1,6.1e1./1.28e2,9.0./3.2e1,1.0./6.4e1,-1.0./3.2e1,-1.0./2.56e2]; +if nargout > 1 + BC_F2C = reshape([1.0./2.0,0.0,0.0,1.77e2./2.72e2,3.0./8.0,-5.9e1./6.88e2,1.125919117647059e-2,3.546742584745763e-1,1.335392441860465e-2,-4.9e1./5.44e2,2.335805084745763e-1,3.204941860465116e-1,-1.194852941176471e-2,1.350635593220339e-2,5.308866279069767e-1,-9.0./5.44e2,-1.11228813559322e-2,2.943313953488372e-1,-2.803308823529412e-2,2.105402542372881e-2,-1.580668604651163e-2,-9.0./5.44e2,1.430084745762712e-2,-5.450581395348837e-2,-9.191176470588235e-4,7.944915254237288e-4,-5.450581395348837e-3,1.0./5.44e2,-1.588983050847458e-3,2.180232558139535e-3,2.297794117647059e-4,-1.986228813559322e-4,2.725290697674419e-4],[3,11]); +end +if nargout > 2 + t2 = [1.7e1./4.8e1,5.9e1./4.8e1,4.3e1./4.8e1,4.9e1./4.8e1]; + HcU = t2; +end +if nargout > 3 + HfU = t2; +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_6to6_ratio2to1.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,47 @@ +function [IC2F,IF2C,Hc,Hf] = IntOp_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.intOpAWW_orders_6to6_ratio_2to1_accC2F3_accF2C4; + case 'C2F' + [stencil_F2C,BC_F2C,HcU,HfU] = ... + sbp.implementations.intOpAWW_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; \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_6to6_ratio_2to1_accC2F3_accF2C4.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,18 @@ +function [stencil_F2C,BC_F2C,HcU,HfU] = intOpAWW_orders_6to6_ratio_2to1_accC2F3_accF2C4 +%INT_ORDERS_6TO6_RATIO_2TO1_ACCC2F3_ACCF2C4_STENCIL_13_BC_3_17 +% [STENCIL_F2C,BC_F2C,HCU,HFU] = INT_ORDERS_6TO6_RATIO_2TO1_ACCC2F3_ACCF2C4_STENCIL_13_BC_3_17 + +% This function was generated by the Symbolic Math Toolbox version 8.0. +% 21-May-2018 15:35:47 + +stencil_F2C = [-5.95703125e-3,3.0./5.12e2,3.57421875e-2,-2.5e1./5.12e2,-8.935546875e-2,7.5e1./2.56e2,3.17e2./5.12e2,7.5e1./2.56e2,-8.935546875e-2,-2.5e1./5.12e2,3.57421875e-2,3.0./5.12e2,-5.95703125e-3]; +if nargout > 1 + BC_F2C = reshape([5.233890618131365e-1,-1.594459192645467e-2,3.532688727637403e-2,8.021234957689208e-1,3.90683205173562e-1,-1.73222951632239e-1,-8.87662686483442e-2,2.90091235796637e-1,-1.600356115709148e-1,-1.044025375027475e-1,2.346179009198368e-1,6.091329306528956e-1,1.561275522703128e-1,-1.168382445709856e-1,1.040987887887311,-2.387061036980731e-1,1.363504965974361e-1,1.082611928255256e-1,-5.745310654054326e-1,3.977694249198785e-1,-9.376217911402619e-1,3.554518646054656e-2,5.609157787396987e-5,-1.564625311232018e-1,6.107907974027401e-1,-3.786608696698368e-1,7.02265869951125e-1,2.054294270642538e-1,-1.302300112378257e-1,2.478941407690889e-1,-2.657085326191479e-1,1.568761445933572e-1,-2.632906518005349e-1,-1.228047556139644e-1,7.182193248980271e-2,-1.1291238242346e-1,5.811258780405158e-2,-3.466364400805378e-2,5.683680203338252e-2,1.781337575097077e-2,-1.030572999042704e-2,1.577197067502767e-2,-1.443802115768554e-2,8.391316308374261e-3,-1.29534117369052e-2,-1.548018627738296e-3,8.794183904936319e-4,-1.298961407229805e-3,1.573818938200601e-3,-8.940753636685258e-4,1.320610764016968e-3],[3,17]); +end +if nargout > 2 + t2 = [3.159490740740741e-1,1.390393518518519,6.275462962962963e-1,1.240509259259259,9.116898148148148e-1,1.013912037037037]; + HcU = t2; +end +if nargout > 3 + HfU = t2; +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_6to6_ratio_2to1_accC2F4_accF2C3.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,18 @@ +function [stencil_F2C,BC_F2C,HcU,HfU] = intOpAWW_orders_6to6_ratio_2to1_accC2F4_accF2C3 +%INT_ORDERS_6TO6_RATIO_2TO1_ACCC2F4_ACCF2C3_STENCIL_13_BC_4_17 +% [STENCIL_F2C,BC_F2C,HCU,HFU] = INT_ORDERS_6TO6_RATIO_2TO1_ACCC2F4_ACCF2C3_STENCIL_13_BC_4_17 + +% This function was generated by the Symbolic Math Toolbox version 8.0. +% 21-May-2018 15:35:56 + +stencil_F2C = [1.07421875e-3,3.0./5.12e2,-6.4453125e-3,-2.5e1./5.12e2,1.611328125e-2,7.5e1./2.56e2,2.45e2./5.12e2,7.5e1./2.56e2,1.611328125e-2,-2.5e1./5.12e2,-6.4453125e-3,3.0./5.12e2,1.07421875e-3]; +if nargout > 1 + BC_F2C = reshape([1.0./2.0,0.0,0.0,0.0,6.876076086160158e-1,1.5e1./3.2e1,-3.461879841386942e-1,3.502577439820862e-2,3.099721991995751e-3,2.228547003766753e-1,9.363652999354482e-3,-3.15791046603844e-3,-1.05789143206462e-1,2.35563165945226e-1,6.070385985337514e-1,-4.847496617839149e-2,-4.809232246867902e-3,5.154694068405061e-3,7.049223649022501e-1,1.016749349808733e-2,3.460117842882262e-2,-4.996621498584866e-2,5.210650763094799e-1,2.233592875303228e-1,-2.239024779745769e-3,4.254668119953384e-4,9.213872590833641e-3,3.910524351558127e-1,-9.048711215107334e-2,8.597375629526346e-2,-3.468219752858724e-1,3.250682992395969e-1,-1.309107466664224e-1,1.199249722306043e-1,-4.071552384959425e-1,1.474417123938701e-1,-3.02863877390285e-2,3.046016554982103e-2,-1.081315128181483e-1,1.120705238850532e-2,7.977722870036266e-2,-6.772545887788229e-2,2.00270418837606e-1,-5.427183680490763e-2,6.524845570188292e-2,-5.637610037043203e-2,1.711235764016968e-1,-4.203646902407166e-2,4.639548341453586e-3,-4.055884445496545e-3,1.258630924935448e-2,-2.776451559292779e-3,-1.023784366070774e-2,8.817108288936985e-3,-2.659664906860937e-2,7.14445034054861e-3,-1.435466025441424e-3,1.240274208149505e-3,-3.764718680837329e-3,1.028716295017727e-3,1.032012418492197e-3,-8.794183904936319e-4,2.597922814459609e-3,-6.571159498040679e-4,1.892022767235695e-4,-1.612267049238325e-4,4.76285849317595e-4,-1.204712574640791e-4],[4,17]); +end +if nargout > 2 + t2 = [3.159490740740741e-1,1.390393518518519,6.275462962962963e-1,1.240509259259259,9.116898148148148e-1,1.013912037037037]; + HcU = t2; +end +if nargout > 3 + HfU = t2; +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_8to8_ratio2to1.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,47 @@ +function [IC2F,IF2C,Hc,Hf] = IntOp_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.intOpAWW_orders_8to8_ratio_2to1_accC2F4_accF2C5; + case 'C2F' + [stencil_F2C,BC_F2C,HcU,HfU] = ... + sbp.implementations.intOpAWW_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; \ No newline at end of file
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_8to8_ratio_2to1_accC2F4_accF2C5.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,18 @@ +function [stencil_F2C,BC_F2C,HcU,HfU] = intOpAWW_orders_8to8_ratio_2to1_accC2F4_accF2C5 +%INT_ORDERS_8TO8_RATIO_2TO1_ACCC2F4_ACCF2C5_STENCIL_17_BC_5_24 +% [STENCIL_F2C,BC_F2C,HCU,HFU] = INT_ORDERS_8TO8_RATIO_2TO1_ACCC2F4_ACCF2C5_STENCIL_17_BC_5_24 + +% This function was generated by the Symbolic Math Toolbox version 8.0. +% 21-May-2018 15:35:02 + +stencil_F2C = [1.324608212425595e-3,-1.220703125e-3,-1.059686569940476e-2,1.1962890625e-2,3.708902994791667e-2,-5.9814453125e-2,-7.417805989583333e-2,2.99072265625e-1,5.927225748697917e-1,2.99072265625e-1,-7.417805989583333e-2,-5.9814453125e-2,3.708902994791667e-2,1.1962890625e-2,-1.059686569940476e-2,-1.220703125e-3,1.324608212425595e-3]; +if nargout > 1 + BC_F2C = reshape([2.087365925359584,-1.227221822236823,1.090916714284468e1,-1.041312149906314,1.134214373258162,-1.269686811479259,2.075368250436277,-1.520771409696474e1,1.389750473974189,-1.48485748783569,-1.040579640776707,8.899721508624742e-1,-7.177691661032869,6.882712043721976e-1,-7.599347599660409e-1,-1.26440526850463,1.160658043364166,-5.391509178445742,6.679923135342851e-1,-7.521725463922262e-1,3.752349810676949,-2.906684049793639,2.672876913566556e1,-2.493145660873,2.782825829667436,1.443588084644871e-1,-1.307230271348211e-1,2.216804748506809,1.437719804483573e-1,-1.145830952112369e-1,3.2149320801083e-1,-2.34361439272989e-1,1.855837403850803,1.286992417665136e-1,-5.758238484341108e-2,-1.301103772185027,9.973408313121463e-1,-8.837520107531879,9.534930382604288e-1,-1.429199518808459e-2,-2.384453600787036,1.818345997558567,-1.577342441239303e1,1.422846302346762,3.154159322410927e-3,3.589377915408905e-1,-2.109524979864723e-1,9.363227187483732e-1,6.301238593470628e-2,5.732390257964316e-2,2.793582225299658,-2.033528056927806,1.621324028555783e1,-1.189222718426265,6.189671387692164e-2,5.342131492864642e-1,-4.222231296997605e-1,3.787253511209165,-3.350064226195165e-1,1.245325350855226e-2,-2.184146687275183,1.551331905163865,-1.19387312118926e1,8.349589004472998e-1,-1.35383591594438e-1,-8.014367493869704e-1,5.668415377001197e-1,-4.302842643863972,2.84183319528176e-1,3.83514596570461e-2,9.45794880458861e-1,-6.732638898386457e-1,5.234390273661413,-3.83498639699941e-1,1.440453495443018e-1,5.645065377027613e-1,-4.039220855868618e-1,3.170156487564899,-2.383074337879712e-1,1.216617375214008e-1,-1.937863224145611e-1,1.358891032584724e-1,-1.023378722711107,6.830621267493578e-2,-4.169135139842575e-3,2.270306426219975e-2,-2.38399209865252e-2,2.928388757260058e-1,-4.02060181933195e-2,6.880595419697505e-2,9.638828970166005e-2,-6.98778025332229e-2,5.609317796857676e-1,-4.429526993510467e-2,2.882554468024363e-2,3.582431391759518e-2,-2.671910644265286e-2,2.251335440088556e-1,-1.966486325944329e-2,1.791756577091828e-2,-3.350790201878844e-1,2.581411034605136e-1,-2.283079071439122,2.162064132948073e-1,-2.321676317817421e-1,6.356644993195555e-2,-4.921907141164279e-2,4.384534411523264e-1,-4.198474091936761e-2,4.597203884996652e-2,2.261662512481835e-2,-1.740429407604355e-2,1.537038474929879e-1,-1.452709057733876e-2,1.556101844926456e-2,3.097679325854209e-2,-2.394872918869654e-2,2.128879105995857e-1,-2.032077838507769e-2,2.213372706946953e-2],[5,24]); +end +if nargout > 2 + t2 = [2.948906761778786e-1,1.525720623897707,2.57452876984127e-1,1.798113701499118,4.127080577601411e-1,1.278484623015873,9.232955798059965e-1,1.009333860859158]; + HcU = t2; +end +if nargout > 3 + HfU = t2; +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpAWW_orders_8to8_ratio_2to1_accC2F5_accF2C4.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,18 @@ +function [stencil_F2C,BC_F2C,HcU,HfU] = intOpAWW_orders_8to8_ratio_2to1_accC2F5_accF2C4 +%INT_ORDERS_8TO8_RATIO_2TO1_ACCC2F5_ACCF2C4_STENCIL_17_BC_6_24 +% [STENCIL_F2C,BC_F2C,HCU,HFU] = INT_ORDERS_8TO8_RATIO_2TO1_ACCC2F5_ACCF2C4_STENCIL_17_BC_6_24 + +% This function was generated by the Symbolic Math Toolbox version 8.0. +% 21-May-2018 15:35:39 + +stencil_F2C = [-2.564929780505952e-4,-1.220703125e-3,2.051943824404762e-3,1.1962890625e-2,-7.181803385416667e-3,-5.9814453125e-2,1.436360677083333e-2,2.99072265625e-1,4.820454915364583e-1,2.99072265625e-1,1.436360677083333e-2,-5.9814453125e-2,-7.181803385416667e-3,1.1962890625e-2,2.051943824404762e-3,-1.220703125e-3,-2.564929780505952e-4]; +if nargout > 1 + BC_F2C = reshape([-1.673327822994457e1,1.665420585653232e1,-1.973927473454954e2,2.826257908914756e1,-6.156813484052936e1,3.974966126696054,2.880639373222355e1,-2.660797294399895e1,3.202303847857831e2,-4.598960974033412e1,1.003152507870138e2,-6.481221721577338,8.061874893005659,-7.706608975219419,9.234201483040626e1,-1.322147613066874e1,2.880209985918895e1,-1.859523138300886,-2.19528557898034e1,2.13763239391502e1,-2.476320412310993e2,3.572924955195535e1,-7.795290920161567e1,5.036097395109802,-1.287197329845376,1.244100160910233,-1.394684346537857e1,2.112320869857597,-4.60441856527933,2.978264879234002e-1,1.935199269380359,-1.88580031845933,2.330807783420723e1,-2.91749306966336,6.644427567385864,-4.302395355488564e-1,-1.148984264037686,1.109982778464842,-1.314799057941425e1,2.137017065505111,-4.084082382904703,2.606486561845403e-1,1.565462612018858,-1.508309105065004,1.772442871757061e1,-2.40060893717649,6.31422909250156,-4.052444871368164e-1,3.179380137695096e-1,-3.071741522636364e-1,3.636264382483117,-5.183996466001354e-1,2.322192602480252,-6.467931586900172e-2,6.277081831671831e-1,-6.107890751034906e-1,7.335850436798604,-1.091016872160133,3.089218691662174,6.988892111841499e-2,1.639756762532723,-1.583883992641009,1.876236237708381e1,-2.685390559486947,5.859855615166555,3.919312696253764e-3,1.611803934956753,-1.540778869185931,1.795955382224485e1,-2.495154500270907,5.003492494640851,-4.157919873785453e-2,-6.213413520816026e-1,6.242581523412814e-1,-7.823535324240331,1.222418137438074,-3.120142966701915,2.975831327541895e-1,2.12230710100161,-2.0451058741188,2.412395225004063e1,-3.423544496956294,7.325914828631551,-4.793445914188063e-1,-4.31809447483846,4.158975059021769,-4.906211424150023e1,6.975058620124194,-1.501259943091044e1,9.418983630154896e-1,-6.138797742037704e-1,5.810969368378602e-1,-6.6821474226667,9.113864351863538e-1,-1.814400062103318,1.002574935832871e-1,-9.860044240994036e-2,9.448685284232805e-2,-1.106188847377502,1.552858946803229e-1,-3.265426230113952e-1,2.062042480203908e-2,-2.745034502159738,2.655226942873441,-3.151193386341271e1,4.520932327069998,-9.883338555855938,6.423439846307804e-1,2.139968493382333,-2.067738462547628,2.450223844197562e1,-3.50699574523559,7.635005983192545,-4.923960464980415e-1,1.036406872394752,-1.002008838408551,1.188339891704641e1,-1.70302259679446,3.715789696036691,-2.407301455417931e-1,1.606428513214277,-1.552524985439685,1.840245870449254e1,-2.635131753653705,5.741508438443495,-3.708346905830083e-1,5.659562678739624e-2,-5.465656201303744e-2,6.471932864664631e-1,-9.253169145609999e-2,2.010909570941804e-1,-1.292046400706276e-2,5.435391241988039e-1,-5.252672844681129e-1,6.225561585258754,-8.91344337215917e-1,1.941632399616401,-1.253426955105431e-1,-1.552116972709218,1.499962759958308,-1.777819805127299e1,2.545472086708348,-5.545140384142844,3.580057322157566e-1],[6,24]); +end +if nargout > 2 + t2 = [2.948906761778786e-1,1.525720623897707,2.57452876984127e-1,1.798113701499118,4.127080577601411e-1,1.278484623015873,9.232955798059965e-1,1.009333860859158]; + HcU = t2; +end +if nargout > 3 + HfU = t2; +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpMC_orders_2to2_ratio2to1.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,35 @@ +function [IC2F,IF2C] = intOpMC_orders_2to2_ratio2to1(mc) + +mf = 2*(mc-1) + 1; + +stencil_F2C = [1.0./4.0,1.0./2.0,1.0./4.0]; +stencil_width = length(stencil_F2C); +stencil_halfwidth = (stencil_width-1)/2; + +BC_F2C = [1.0./2.0,1.0./2.0]; + +Hc = speye(mc,mc); +Hc(1,1) = 1/2; +Hc(end,end) = 1/2; + +Hf = 1/2*speye(mf,mf); +Hf(1,1) = 1/4; +Hf(end,end) = 1/4; + +IF2C = sparse(mc,mf); +[BCrows, BCcols] = size(BC_F2C); +IF2C(1:BCrows, 1:BCcols) = BC_F2C; +IF2C(mc-BCrows+1:mc, mf-BCcols+1:mf) = rot90(BC_F2C,2); + +for i = BCrows+1 : mc-BCrows + IF2C(i,(2*i-stencil_halfwidth-1) :(2*i+stencil_halfwidth-1))... + = stencil_F2C; +end + +IC2F = Hf\(IF2C'*Hc); + + + + + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpMC_orders_4to4_ratio2to1.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,66 @@ +% Marks New interpolation operators +% 4th order to 2nd order accurate (diagonal norm) +% M=9 is the minimum amount of points on the coarse mesh + +function [IC2F,IF2C] = intOpMC_orders_4to4_ratio2to1(M_C) + +M_F=M_C*2-1; + +% Coarse to fine +I1=zeros(M_F,M_C); +t1=[ 2047/2176 , 129/1088 , -129/2176 , 0 , 0 , 0 , 0 ,... + 0 ;... + 429/944 , 279/472 , -43/944 , 0 , 0 , 0 , 0 , 0 ;... + 111/2752 , 4913/5504 , 3/32 , -147/5504 ,... + 0 , 0 , 0 , 0 ;... + -103/784 , 549/784 , 387/784 , -1/16 , 0 ,... + 0 , 0 , 0 ;... + -335/3072 , 205/768 , 2365/3072 , 49/512 ,... + -3/128 , 0 , 0 , 0 ;... + -9/256 , 5/256 , 129/256 , 147/256 ,... + -1/16 , 0 , 0 , 0 ;... + 5/192 , -59/1024 , 43/512 , 2695/3072 ,... + 3/32 , -3/128 , 0 , 0 ;... + 23/768 , -37/768 , -43/768 , 147/256 ,... + 9/16 , -1/16 , 0 , 0 ;... + 13/2048 , -11/1024 , -43/2048 , 49/512 ,... + 55/64 , 3/32 , -3/128 , 0 ;... + -1/384 , 1/256 , 0 , -49/768 , 9/16 ,... + 9/16 , -1/16 , 0 ;... + -1/1024 , 3/2048 , 0 , -49/2048 , 3/32 ,... + 55/64 , 3/32 , -3/128]; + + +t2=[-3/128 3/32 55/64 3/32 -3/128]; +t3=[-1/16 9/16 9/16 -1/16]; +I1(1:11,1:8)=t1; +I1(M_F-10:M_F,M_C-7:M_C)=fliplr(flipud(t1)); +I1(12,5:8)=t3; +for i=13:2:M_F-12 + j=(i-1)/2; + I1(i,j-1:j+3)=t2; + I1(i+1,j:j+3)=t3; +end + +% Fine to coarse +I2=zeros(M_C,M_F); + +t1=[ 2047/4352 , 429/544 , 111/2176 , -103/544 ... + , -335/2176 , -27/544 , 5/136 , 23/544 ,... + 39/4352 , -1/272 , -3/2176 ;... + 129/7552 , 279/944 , 4913/15104 , 549/1888 ... + , 205/1888 , 15/1888 , -3/128 , -37/1888 ... + , -33/7552 , 3/1888 , 9/15104 ]; +t2=[-3/256 -1/32 3/64 9/32 55/128 9/32 3/64 -1/32 -3/256]; + +I2(1:2,1:11)=t1; + +I2(M_C-1:M_C,M_F-10:M_F)=fliplr(flipud(t1)); + +for i=3:M_C-2 + j=2*(i-3)+1; + I2(i,j:j+8)=t2; +end + +IC2F = sparse(I1); +IF2C = sparse(I2);
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpMC_orders_6to6_ratio2to1.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,115 @@ +% Marks New interpolation operators +% 6th order accurate (diagonal norm) +% M=19 is the minimum amount of points on the coarse mesh + +function [IC2F,IF2C] = intOpMC_orders_6to6_ratio2to1(M_C) + +M_F=M_C*2-1; + +% Coarse to fine +I1=zeros(M_F,M_C); + +t1= [6854313/6988288 , 401925/6988288 , -401925/6988288 ... + , 133975/6988288 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ; ... + 560547/1537664 , 1201479/1537664 , -240439/1537664 ... + , 16077/1537664 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ; ... + 203385/5552128 , 1225647/1388032 , 364155/2776064 ... + , -80385/1388032 , 39385/5552128 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ; ... + -145919/2743808 , 721527/1371904 , 105687/171488 , ... + -25/256 , 23631/2743808 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ; ... + -178863/4033024 , 1178085/8066048 , ... + 1658587/2016512 , 401925/4033024 , -15/512 , ... + 43801/8066048 , 0 , 0 , 0 , 0 , 0 , 0 ; ... + -1668147/11213056 , 4193225/11213056 , ... + 375675/2803264 , 2009625/2803264 , ... + -984625/11213056 , 3/256 , 0 , 0 , 0 , 0 , 0 , 0 ; ... + -561187/2949120 , 831521/1474560 , -788801/1474560 ... + , 412643/368640 , 39385/589824 , -43801/1474560 ... + , 5/1024 , 0 , 0 , 0 , 0 , 0 ; ... + 23/1024 , 23/147456 , -43435/221184 , ... + 26795/36864 , 39385/73728 , -43801/442368 , ... + 3/256 , 0 , 0 , 0 , 0 , 0 ; ... + 79379/368640 , -1664707/2949120 , 284431/737280 , ... + 26795/294912 , 606529/737280 , 43801/589824 , ... + -15/512 , 5/1024 , 0 , 0 , 0 , 0 ; ... + 3589/27648 , -2225/6144 , 22939/73728 , ... + -26795/221184 , 39385/73728 , 43801/73728 , ... + -25/256 , 3/256 , 0 , 0 , 0 , 0 ; ... + -720623/14745600 , 10637/92160 , -89513/1474560 , ... + -5359/147456 , 39385/589824 , 3372677/3686400 , ... + 75/1024 , -15/512 , 5/1024 , 0 , 0 , 0 ; ... + -6357/81920 , 55219/276480 , -8707/61440 , ... + 5359/368640 , -39385/442368 , 43801/73728 , ... + 75/128 , -25/256 , 3/256 , 0 , 0 , 0 ; ... + -13315/884736 , 2589/65536 , -479/16384 , ... + 5359/884736 , -7877/294912 , 43801/589824 , ... + 231/256 , 75/1024 , -15/512 , 5/1024 , 0 , 0 ; ... + 8299/737280 , -7043/245760 , 5473/276480 , 0 , ... + 7877/737280 , -43801/442368 , 75/128 , ... + 75/128 , -25/256 , 3/256 , 0 , 0 ; ... + 11027/2949120 , -8461/884736 , 655/98304 , 0 , ... + 7877/1769472 , -43801/1474560 , 75/1024 , ... + 231/256 , 75/1024 , -15/512 , 5/1024 , 0 ; ... + -601/614400 , 601/245760 , -601/368640 , 0 , 0 , ... + 43801/3686400 , -25/256 , 75/128 , ... + 75/128 , -25/256 , 3/256 , 0 ; ... + -601/1474560 , 601/589824 , -601/884736 , 0 , 0 , ... + 43801/8847360 , -15/512 , 75/1024 , ... + 231/256 , 75/1024 , -15/512 , 5/1024 ] ; + + t2= [5/1024 , -15/512 , 75/1024, 231/256 , 75/1024 , -15/512 , 5/1024]; + + t3= [3/256 , -25/256 , 75/128 , 75/128 , -25/256 , 3/256]; + +I1(1:17,1:12)=t1; +I1(M_F-16:M_F,M_C-11:M_C)=fliplr(flipud(t1)); +I1(18,7:12)=t3; +for i=19:2:M_F-18 + j=(i-3)/2; + I1(i,j-1:j+5)=t2; + I1(i+1,j:j+5)=t3; +end + +% Fine to coarse +I2=zeros(M_C,M_F); + +t1=[6854313/13976576 , 2802735/3494144 , ... + 1016925/27953152 , -729595/6988288 , ... + -894315/13976576 , -1668147/6988288 , ... + -8417805/27953152 , 15525/436768 , ... + 1190685/3494144 , 89725/436768 , ... + -2161869/27953152 , -858195/6988288 , ... + -332875/13976576 , 124485/6988288 , ... + 165405/27953152 , -5409/3494144 , -9015/13976576; ... + 80385/12301312 , 1201479/3075328 , 1225647/6150656 ... + , 721527/3075328 , 1178085/24602624 , ... + 838645/6150656 , 60843/300032 , 345/6150656 , ... + -4994121/24602624 , -100125/768832 , ... + 31911/768832 , 55219/768832 , 349515/24602624 , ... + -63387/6150656 , -42305/12301312 , 5409/6150656 ... + , 9015/24602624 ; ... + -80385/5552128 , -240439/1388032 , 364155/5552128 ... + , 105687/173504 , 1658587/2776064 , 75135/694016 ... + , -2366403/5552128 , -217175/1388032 , ... + 853293/2776064 , 344085/1388032 , ... + -268539/5552128 , -78363/694016 , -64665/2776064 ... + , 5473/347008 , 29475/5552128 , -1803/1388032 , ... + -3005/5552128]; + + + + t2=[ 5/2048 , 3/512 , -15/1024 , -25/512 , ... + 75/2048 , 75/256 , 231/512 , 75/256 , ... + 75/2048 , -25/512 , -15/1024 , 3/512 , 5/2048]; + +I2(1:3,1:17)=t1; + +I2(M_C-2:M_C,M_F-16:M_F)=fliplr(flipud(t1)); + +for i=4:M_C-3 + j=2*(i-4)+1; + I2(i,j:j+12)=t2; +end +IC2F = sparse(I1); +IF2C = sparse(I2); +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/+implementations/intOpMC_orders_8to8_ratio2to1.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,53 @@ +% Marks New interpolation operators +% 8th order accurate (diagonal norm) +% M=19 is the minimum amount of points on the coarse mesh + +function [IC2F,IF2C] = intOpMC_orders_8to8_ratio2to1(M_C) + +M_F=M_C*2-1; + +% Coarse to fine +I1=zeros(M_F,M_C); + +t1= [0.99340647972821530406e0 0.26374081087138783775e-1 -0.39561121630708175663e-1 0.26374081087138783775e-1 -0.65935202717846959438e-2 0 0 0 0 0 0 0 0 0 0 0; 0.31183959860287729600e0 0.94014160558849081601e0 -0.31646240838273622401e0 0.65141605588490816007e-1 -0.66040139712270400169e-3 0 0 0 0 0 0 0 0 0 0 0; -0.33163591467432411328e-1 0.11092588191512759415e1 -0.10539936193077965253e0 -0.77189144409925778387e-2 0.60418595406382404105e-1 -0.23395546718453703858e-1 0 0 0 0 0 0 0 0 0 0; -0.63951987538041216890e-1 0.56657207530367360435e0 0.56073157416571775151e0 -0.67107298938782711711e-1 0.54915118559238359570e-2 -0.17358748484912632117e-2 0 0 0 0 0 0 0 0 0 0; 0.22970968995770386894e0 -0.84424237330911973043e0 0.20693327723706358111e1 -0.42910115554542331920e0 -0.13191478386190563918e0 0.11675567167691342983e0 -0.10539821288804421121e-1 0 0 0 0 0 0 0 0 0; 0.10195433776615307267e0 -0.45344410547614678949e0 0.11049699103276728065e1 0.26297465812771521534e0 -0.38617448080010680341e-1 0.23925781250000000000e-1 -0.17631339153836246986e-2 0 0 0 0 0 0 0 0 0; -0.33882356049961665258e0 0.12718893449497745294e1 -0.16822328941798626751e1 0.17813590728082409984e1 0.11793036905675500906e0 -0.18266200597575250398e0 0.37689938246258754051e-1 -0.51502644057974593120e-2 0 0 0 0 0 0 0 0; -0.50400650482311136546e0 0.19901277318227816880e1 -0.29708252195230746436e1 0.23722122500767090037e1 0.24457622727717445252e0 -0.15152936311741758892e0 0.21886284536938453771e-1 -0.24414062500000000000e-2 0 0 0 0 0 0 0 0; 0.37882732714731866331e-2 0.12115606818363056270e0 -0.53924884156527999826e0 0.88886598075786086512e0 0.27660232216640139169e0 0.33730204543181760125e0 -0.12179633685076087365e0 0.38041730885639608773e-1 -0.47112422807823442564e-2 0 0 0 0 0 0 0; 0.41123781086486062886e0 -0.14418811327145423418e1 0.16793759240044487847e1 -0.57156511000645013503e0 0.24685906775203751929e0 0.76471858554416232639e0 -0.11045284035765094522e0 0.24149101163134162809e-1 -0.24414062500000000000e-2 0 0 0 0 0 0 0; 0.36463669929508579110e0 -0.13698743320477484358e1 0.18268133133896437122e1 -0.93074264690533336964e0 0.10888458847499176143e0 0.85685706622610101431e0 0.24359267370152174731e0 -0.13314605809973863070e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0 0 0 0 0; 0.25541802394537278164e0 -0.10497853549910180363e1 0.15921730465359157986e1 -0.96615555845660927855e0 -0.49371813550407503858e-1 0.76471858554416232639e0 0.55226420178825472608e0 -0.12074550581567081404e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0 0 0 0 0; -0.93469656691661424206e-1 0.26634337856674539612e0 -0.17694629839462736800e0 -0.64947940656920645005e-1 -0.54442294237495880713e-1 0.33730204543181760125e0 0.61880473767909428853e0 0.26629211619947726141e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0 0 0 0; -0.49445400002561969522e0 0.18168098496802059221e1 -0.23462477366129557292e1 0.11091140417405116705e1 0.98743627100815007716e-2 -0.15294371710883246528e0 0.55226420178825472608e0 0.60372752907835407022e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0 0 0 0; -0.24633538738293361369e0 0.93021448723433316305e0 -0.12527182680719820488e1 0.63698038058706249354e0 0.15554941210713108775e-1 -0.16865102271590880063e0 0.24359267370152174731e0 0.67646871560981190145e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0 0 0; 0.23150628239599695492e0 -0.82682792555928440531e0 0.10237569354829334077e1 -0.45129113643047460593e0 -0.10075880316409694665e-2 0.30588743421766493056e-1 -0.11045284035765094522e0 0.60372752907835407022e0 0.59814453125000000000e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0 0 0; 0.19518658723021413499e0 -0.70515100787561674409e0 0.88870680011413432419e0 -0.40458631782898657259e0 -0.19443676513391385969e-2 0.48186006490259657322e-1 -0.12179633685076087365e0 0.26629211619947726141e0 0.67021304034523590205e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0 0; -0.43403699494753775353e-1 0.15442805550926787092e0 -0.18997683853068679729e0 0.82584189359473172950e-1 0 -0.31213003491598462302e-2 0.22090568071530189043e-1 -0.12074550581567081404e0 0.59814453125000000000e0 0.59814453125000000000e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0 0; -0.58783367481931040778e-1 0.20994477957758583150e0 -0.25976152530269196017e0 0.11403438083569734975e0 0 -0.60232508112824571652e-2 0.34798953385931678187e-1 -0.13314605809973863070e0 0.26382956772381127836e0 0.67021304034523590205e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0 0; 0.63390647713259204145e-2 -0.22373993350504987875e-1 0.27185871992161665013e-1 -0.11561529976981026786e-1 0 0 -0.22541395991357335758e-2 0.24149101163134162809e-1 -0.11962890625000000000e0 0.59814453125000000000e0 0.59814453125000000000e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0 0; 0.10649583863025939259e-1 -0.37634916628131671889e-1 0.45812371547331598336e-1 -0.19540204529147604911e-1 0 0 -0.43498691732414597734e-2 0.38041730885639608773e-1 -0.13191478386190563918e0 0.26382956772381127836e0 0.67021304034523590205e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2 0; -0.45575492476359756866e-3 0.15951422366725914903e-2 -0.19141706840071097884e-2 0.79757111833629574515e-3 0 0 0 -0.24641939962381798784e-2 0.23925781250000000000e-1 -0.11962890625000000000e0 0.59814453125000000000e0 0.59814453125000000000e0 -0.11962890625000000000e0 0.23925781250000000000e-1 -0.24414062500000000000e-2 0; -0.87948159845213680356e-3 0.30781855945824788125e-2 -0.36938227134989745750e-2 0.15390927972912394062e-2 0 0 0 -0.47552163607049510966e-2 0.37689938246258754051e-1 -0.13191478386190563918e0 0.26382956772381127836e0 0.67021304034523590205e0 0.26382956772381127836e0 -0.13191478386190563918e0 0.37689938246258754051e-1 -0.47112422807823442564e-2;]; + + + t2= [-0.456778318652801649905139026187255979136056340856723240855601037075101451671715366e81 / 0.96954962498118328965695036971472316719781487805298788537830810438965808195608854955e83 0.3654226549222413199241112209498047833088450726853785926844808296600811613373722928e82 / 0.96954962498118328965695036971472316719781487805298788537830810438965808195608854955e83 -0.1827113274611206599620556104749023916544225363426892963422404148300405806686861464e82 / 0.13850708928302618423670719567353188102825926829328398362547258634137972599372693565e83 0.3654226549222413199241112209498047833088450726853785926844808296600811613373722928e82 / 0.13850708928302618423670719567353188102825926829328398362547258634137972599372693565e83 0.1856585148354920384923865861096125662293072684152233190798249652677391616531107981e82 / 0.2770141785660523684734143913470637620565185365865679672509451726827594519874538713e82 0.3654226549222413199241112209498047833088450726853785926844808296600811613373722928e82 / 0.13850708928302618423670719567353188102825926829328398362547258634137972599372693565e83 -0.1827113274611206599620556104749023916544225363426892963422404148300405806686861464e82 / 0.13850708928302618423670719567353188102825926829328398362547258634137972599372693565e83 0.3654226549222413199241112209498047833088450726853785926844808296600811613373722928e82 / 0.96954962498118328965695036971472316719781487805298788537830810438965808195608854955e83 -0.456778318652801649905139026187255979136056340856723240855601037075101451671715366e81 / 0.96954962498118328965695036971472316719781487805298788537830810438965808195608854955e83;]; + + t3= [-0.5e1 / 0.2048e4 0.49e2 / 0.2048e4 -0.245e3 / 0.2048e4 0.1225e4 / 0.2048e4 0.1225e4 / 0.2048e4 -0.245e3 / 0.2048e4 0.49e2 / 0.2048e4 -0.5e1 / 0.2048e4;]; +I1(1:23,1:16)=t1; +I1(M_F-22:M_F,M_C-15:M_C)=fliplr(flipud(t1)); +I1(24,9:16)=t3; +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%DEBUGGING + +for i=25:2:M_F-24 + j=(i-3)/2; + I1(i,j-2:j+6)=t2; + I1(i+1,j-1:j+6)=t3; +end + +% Fine to coarse: A +I2=zeros(M_C,M_F); + +t1=[0.49670323986410765203e0 0.80670591743192512511e0 -0.14476656476698073533e-1 -0.19497555250083395132e0 0.16074268813765884450e0 0.22100911221277072755e0 -0.53042418939472250452e0 -0.86254139670456354517e0 0.64231825172866668299e-2 0.69727164011248914487e0 0.61825742343094006838e0 0.43307239695721032895e0 -0.15848187861199173328e0 -0.83836831742920925562e0 -0.41767239062238727391e0 0.39252899650233765024e0 0.33094736964907844809e0 -0.73592865087013788440e-1 -0.99669762780958210515e-1 0.10748160731101219580e-1 0.18056833808814782786e-1 -0.77275234787125894193e-3 -0.14911993994710636483e-2; 0.25487859584304862664e-2 0.47007080279424540800e0 0.93589176759289320118e-1 0.33386224041716468423e0 -0.11418395501435496457e0 -0.18998278818813064037e0 0.38484431284491986603e0 0.65828018436035862232e0 0.39704539050575728856e-1 -0.47252462545568042557e0 -0.44892698918501097924e0 -0.34402935194949605213e0 0.87284452472801643396e-1 0.59539401290875351190e0 0.30484430526276345964e0 -0.27096308216867871783e0 -0.23108785344796321535e0 0.50608234918774219796e-1 0.68801842319351676214e-1 -0.73322707316320135247e-2 -0.12333488857215226757e-1 0.52275043402033040521e-3 0.10087644967132781708e-2; -0.22656973277393401539e-1 -0.93771184228725468159e0 -0.52699680965389826267e-1 0.19581430555012001670e1 0.16586148101136731602e1 0.27435837109255836264e1 -0.30164708462284474624e1 -0.58235016129647971089e1 -0.10472767830023645070e1 0.32615209891555982371e1 0.35478595826728208891e1 0.30921640208240511054e1 -0.34364793368678654581e0 -0.45566547247355317663e1 -0.24329078834671892590e1 0.19882413967858906122e1 0.17259601262271516763e1 -0.36895458453625989435e0 -0.50448363278283993228e0 0.52797763052066775846e-1 0.88972343374038343284e-1 -0.37175165926095403240e-2 -0.71737841052106668688e-2; 0.21626748627943672418e-2 0.27636709246281031633e-1 -0.55259484658035070394e-3 -0.33553649469391355855e-1 -0.49244245327794891233e-1 0.93489376222103426899e-1 0.45734620580442859300e0 0.66579609152388478842e0 0.24716623315221892947e0 -0.15893464065423852815e0 -0.25881084331023040874e0 -0.26865808253702445366e0 -0.18060020510041282529e-1 0.30841043055726240020e0 0.17712461121229459766e0 -0.12549015561536110372e0 -0.11250298507032009025e0 0.22964117700293735857e-1 0.31709446610808019222e-1 -0.32149051440245356510e-2 -0.54335286230388551025e-2 0.22177994574852164638e-3 0.42797426992744435493e-3;]; + + + + t2=[-0.23556211403911721282e-2 -0.12207031250000000000e-2 0.18844969123129377026e-1 0.11962890625000000000e-1 -0.65957391930952819589e-1 -0.59814453125000000000e-1 0.13191478386190563918e0 0.29907226562500000000e0 0.33510652017261795103e0 0.29907226562500000000e0 0.13191478386190563918e0 -0.59814453125000000000e-1 -0.65957391930952819589e-1 0.11962890625000000000e-1 0.18844969123129377026e-1 -0.12207031250000000000e-2 -0.23556211403911721282e-2;]; + + +I2(1:4,1:23)=t1; + +I2(M_C-3:M_C,M_F-22:M_F)=fliplr(flipud(t1)); + +for i=5:M_C-4 + j=2*(i-5)+1; + I2(i,j:j+16)=t2; +end + +IC2F = sparse(I1); +IF2C = sparse(I2); + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/InterpAWW.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,67 @@ +classdef InterpAWW < sbp.InterpOps + properties + + % Interpolation operators + IC2F + IF2C + + % Orders used on coarse and fine sides + order_C + order_F + + % Grid points, refinement ratio. + ratio + m_C + m_F + + % Boundary accuracy of IC2F and IF2C. + acc_C2F + acc_F2C + end + + methods + % accOp : String, 'C2F' or 'F2C'. Specifies which of the operators + % should have higher accuracy. + function obj = InterpAWW(m_C,m_F,order_C,order_F,accOp) + + ratio = (m_F-1)/(m_C-1); + h_C = 1; + + assert(order_C == order_F,... + 'Error: Different orders of accuracy not available'); + + switch ratio + case 2 + switch order_C + case 2 + [IC2F,IF2C] = sbp.implementations.intOpAWW_orders_2to2_ratio2to1(m_C, h_C, accOp); + case 4 + [IC2F,IF2C] = sbp.implementations.intOpAWW_orders_4to4_ratio2to1(m_C, h_C, accOp); + case 6 + [IC2F,IF2C] = sbp.implementations.intOpAWW_orders_6to6_ratio2to1(m_C, h_C, accOp); + case 8 + [IC2F,IF2C] = sbp.implementations.intOpAWW_orders_8to8_ratio2to1(m_C, h_C, accOp); + otherwise + error(['Order ' num2str(order_C) ' not available.']); + end + otherwise + error(['Grid ratio ' num2str(ratio) ' not available']); + end + + obj.IC2F = IC2F; + obj.IF2C = IF2C; + obj.order_C = order_C; + obj.order_F = order_F; + obj.ratio = ratio; + obj.m_C = m_C; + obj.m_F = m_F; + + end + + function str = string(obj) + str = [class(obj) '_orders' num2str(obj.order_F) 'to'... + num2str(obj.order_C) '_ratio' num2str(obj.ratio) 'to1']; + end + + end +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/InterpMC.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,61 @@ +classdef InterpMC < sbp.InterpOps + properties + + % Interpolation operators + IC2F + IF2C + + % Orders used on coarse and fine sides + order_C + order_F + + % Grid points, refinement ratio. + ratio + m_C + m_F + end + + methods + function obj = InterpMC(m_C,m_F,order_C,order_F) + + ratio = (m_F-1)/(m_C-1); + + assert(order_C == order_F,... + 'Error: Different orders of accuracy not available'); + + switch ratio + case 2 + switch order_C + case 2 + [IC2F,IF2C] = sbp.implementations.intOpMC_orders_2to2_ratio2to1(m_C); + case 4 + [IC2F,IF2C] = sbp.implementations.intOpMC_orders_4to4_ratio2to1(m_C); + case 6 + [IC2F,IF2C] = sbp.implementations.intOpMC_orders_6to6_ratio2to1(m_C); + case 8 + [IC2F,IF2C] = sbp.implementations.intOpMC_orders_8to8_ratio2to1(m_C); + otherwise + error(['Order ' num2str(order_C) ' not available.']); + end + otherwise + error(['Grid ratio ' num2str(ratio) ' not available']); + end + + obj.IC2F = IC2F; + obj.IF2C = IF2C; + obj.order_C = order_C; + obj.order_F = order_F; + obj.ratio = ratio; + obj.m_C = m_C; + obj.m_F = m_F; + + + end + + function str = string(obj) + str = [class(obj) '_orders' num2str(obj.order_F) 'to'... + num2str(obj.order_C) '_ratio' num2str(obj.ratio) 'to1']; + end + + end +end
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/InterpOps.m Tue Jul 24 20:14:29 2018 -0700 @@ -0,0 +1,14 @@ +classdef (Abstract) InterpOps + properties (Abstract) + % C and F may refer to coarse and fine, but it's not a must. + IC2F % Interpolation operator from "C" to "F" + IF2C % Interpolation operator from "F" to "C" + + end + + methods (Abstract) + % Returns a string representation of the type of operator. + str = string(obj) + end + +end \ No newline at end of file