% ======================================================================= % Berland, J., Bogey, C., Marsden, O. & Bailly, C., 2007, % High-order, low dispersive and low dissipative explicit schemes for % multi-scale and boundary problems, Journal of Computational Physics, % 224(2), 637-662. % % a11dp 11-pts non-centered schemes % d11dp 11-pts non-centered selective filters % % ith-point -> sum_j a11dp(i,j) (and i=1, wall) % % (August 2008) % ======================================================================= % ======================================================================= %.. Berland et al. 11-pts non-centered schemes (JCP 2007) % ======================================================================= a11dp(1,1) = -2.391602219538; a11dp(1,2) = 5.832490322294; a11dp(1,3) = -7.650218001182; a11dp(1,4) = 7.907810563576; a11dp(1,5) = -5.922599052629; a11dp(1,6) = 3.071037015445; a11dp(1,7) = -1.014956769726; a11dp(1,8) = 0.170022256519; a11dp(1,9) = 0.002819958377; a11dp(1,10)= -0.004791009708; a11dp(1,11)= -0.000013063429; a11dp(1,3) = -7.650218001182 + 0.000000000001; a11dp(2,1) = -0.180022054228; a11dp(2,2) = -1.237550583044; a11dp(2,3) = 2.484731692990; a11dp(2,4) = -1.810320814061; a11dp(2,5) = 1.112990048440; a11dp(2,6) = -0.481086916514; a11dp(2,7) = 0.126598690230; a11dp(2,8) = -0.015510730165; a11dp(2,9) = 0.000024609059; a11dp(2,10)= 0.000156447571; a11dp(2,11)= -0.000007390277; a11dp(2,9) = 0.000024609059 - 0.000003; a11dp(2,10)= 0.000156447571 - 0.000000000001; a11dp(3,1) = 0.057982271137; a11dp(3,2) = -0.536135360383; a11dp(3,3) = -0.264089548967; a11dp(3,4) = 0.917445877606; a11dp(3,5) = -0.169688364841; a11dp(3,6) = -0.029716326170; a11dp(3,7) = 0.029681617641; a11dp(3,8) = -0.005222483773; a11dp(3,9) = -0.000118806260; a11dp(3,10)= -0.000118806260; a11dp(3,11)= -0.000020069730; a11dp(3,3) = -0.264089548967 + 0.000000000002; a11dp(3,4) = 0.917445877606 - 0.000000000002; a11dp(4,1) = -0.013277273810; a11dp(4,2) = 0.115976072920; a11dp(4,3) = -0.617479187931; a11dp(4,4) = -0.274113948206; a11dp(4,5) = 1.086208764655; a11dp(4,6) = -0.402951626982; a11dp(4,7) = 0.131066986242; a11dp(4,8) = -0.028154858354; a11dp(4,9) = 0.002596328316; a11dp(4,10)= 0.000128743150; a11dp(4,11)= 0.; a11dp(4,4) = -0.274113948206 + 0.000000000002; a11dp(4,5) = 1.086208764655 - 0.000000000002; a11dp(5,1) = 0.016756572303; a11dp(5,2) = -0.117478455239; a11dp(5,3) = 0.411034935097; a11dp(5,4) = -1.130286765151; a11dp(5,5) = 0.341435872100; a11dp(5,6) = 0.556396830543; a11dp(5,7) = -0.082525734207; a11dp(5,8) = 0.003565834658; a11dp(5,9) = 0.001173034777; a11dp(5,10)= -0.000071772671; a11dp(5,11)= -0.000000352273; a11dp(5,5) = 0.341435872100 - 0.000000000001; a11dp(5,10)= -0.000071772671 + 0.000000000064; % ======================================================================= %.. Berland et al. 11-pts non-centered selective filters (JCP 2007) % ======================================================================= d11dp(1,1) = 0.320882352941; d11dp(1,2) = -0.465; d11dp(1,3) = 0.179117647059; d11dp(1,4) = -0.035; d11dp(1,5) = 0.; d11dp(1,6) = 0.; d11dp(1,7) = 0.; d11dp(1,8) = 0.; d11dp(1,9) = 0.; d11dp(1,10)= 0.; d11dp(1,11)= 0.; d11dp(2,1) = -0.085777408970; d11dp(2,2) = 0.277628171524; d11dp(2,3) = -0.356848072173; d11dp(2,4) = 0.223119093072; d11dp(2,5) = -0.057347064865; d11dp(2,6) = -0.000747264596; d11dp(2,7) = -0.000027453993; d11dp(2,8) = 0.; d11dp(2,9) = 0.; d11dp(2,10)= 0.; d11dp(2,11)= 0.; d11dp(2,1) = -0.085777408970 + 0.000000000001; d11dp(3,1) = 0.0307159855992469; d11dp(3,2) = -0.148395705486028; d11dp(3,3) = 0.312055385963757; d11dp(3,4) = -0.363202245195514; d11dp(3,5) = 0.230145457063431; d11dp(3,6) = -0.0412316564605079; d11dp(3,7) = -0.0531024700805787; d11dp(3,8) = 0.0494343261171287; d11dp(3,9) = -0.0198143585458560; d11dp(3,10)= 0.00339528102492129; d11dp(3,11)= 0.; d11dp(4,1) = -0.000054596010; d11dp(4,2) = 0.042124772446; d11dp(4,3) = -0.173103107841; d11dp(4,4) = 0.299615871352; d11dp(4,5) = -0.276543612935; d11dp(4,6) = 0.131223506571; d11dp(4,7) = -0.023424966418; d11dp(4,8) = 0.013937561779; d11dp(4,9) = -0.024565095706; d11dp(4,10)= 0.013098287852; d11dp(4,11)= -0.002308621090; d11dp(5,1) = 0.008391235145; d11dp(5,2) = -0.047402506444; d11dp(5,3) = 0.121438547725; d11dp(5,4) = -0.200063042812; d11dp(5,5) = 0.240069047836; d11dp(5,6) = -0.207269200140; d11dp(5,7) = 0.122263107844; d11dp(5,8) = -0.047121062819; d11dp(5,9) = 0.009014891495; d11dp(5,10)= 0.001855812216; d11dp(5,11)= -0.001176830044; d11dp(5,6) = -0.207269200140 - 0.000000000001; d11dp(5,7) = 0.122263107844 - 0.000000000001; % ======================================================================= % =======================================================================