Mercurial > repos > public > sbplib
diff +sbp/+implementations/d4_variable_8_higher_boundary_order.m @ 316:203afa156f59 feature/beams
Collected boundary operators.
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Fri, 23 Sep 2016 23:10:44 +0200 |
parents | 9230c056a574 |
children | 99005a80b4c2 |
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--- a/+sbp/+implementations/d4_variable_8_higher_boundary_order.m Fri Sep 23 22:58:45 2016 +0200 +++ b/+sbp/+implementations/d4_variable_8_higher_boundary_order.m Fri Sep 23 23:10:44 2016 +0200 @@ -31,8 +31,10 @@ H(m-7:m,m-7:m) = fliplr(flipud(H(1:8,1:8))); - e_1 = zeros(m,1);e_1(1) = 1; - e_m = zeros(m,1);e_m(m) = 1; + e_1 = zeros(m,1); + e_1(1) = 1; + e_m = zeros(m,1); + e_m(m) = 1; S_U = [-0.49e2/0.20e2 6 -0.15e2/0.2e1 0.20e2/0.3e1 -0.15e2/0.4e1 0.6e1/0.5e1 -0.1e1/0.6e1]/h; S_1 = zeros(1,m); @@ -40,6 +42,18 @@ S_m = zeros(1,m); S_m(m-6:m) = fliplr(-S_U); + S2_U = [0.203e3/0.45e2 -0.87e2/0.5e1 0.117e3/0.4e1 -0.254e3/0.9e1 0.33e2/0.2e1 -0.27e2/0.5e1 0.137e3/0.180e3]/h^2; + S2_1 = zeros(1,m); + S2_1(1:7) = S2_U; + S2_m = zeros(1,m); + S2_m(m-6:m) = fliplr(S2_U); + + S3_U = [-0.49e2/0.8e1 29 -0.461e3/0.8e1 62 -0.307e3/0.8e1 13 -0.15e2/0.8e1]/h^3; + S3_1 = zeros(1,m); + S3_1(1:7) = S3_U; + S3_m = zeros(1,m); + S3_m(m-6:m) = fliplr(-S3_U); + H = h*H; HI = inv(H); @@ -81,13 +95,6 @@ % % D2 = HI*(-M-diag(c)*e_1*S_1+diag(c)*e_m*S_m); - S2_U = [0.203e3/0.45e2 -0.87e2/0.5e1 0.117e3/0.4e1 -0.254e3/0.9e1 0.33e2/0.2e1 -0.27e2/0.5e1 0.137e3/0.180e3]/h^2; - S2_1 = zeros(1,m); - S2_1(1:7) = S2_U; - S2_m = zeros(1,m); - S2_m(m-6:m) = fliplr(S2_U); - - % Fourth derivative, 1th order accurate at first 8 boundary points (still % yield 5th order convergence if stable: for example u_tt = -u_xxxx @@ -118,11 +125,5 @@ M4(m-7:m,m-7:m) = flipud( fliplr( M4_U ) ); M4 = M4/h^3; - S3_U = [-0.49e2/0.8e1 29 -0.461e3/0.8e1 62 -0.307e3/0.8e1 13 -0.15e2/0.8e1]/h^3; - S3_1 = zeros(1,m); - S3_1(1:7) = S3_U; - S3_m = zeros(1,m); - S3_m(m-6:m) = fliplr(-S3_U); - D4 = HI*(M4-e_1*S3_1+e_m*S3_m + S_1'*S2_1-S_m'*S2_m); end