Mercurial > repos > public > sbplib
diff +sbp/D4Standard.m @ 423:a2cb0d4f4a02 feature/grids
Merge in default.
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Tue, 07 Feb 2017 15:47:51 +0100 |
parents | 4b9310edcdf8 |
children | e1d11b6a68d8 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/D4Standard.m Tue Feb 07 15:47:51 2017 +0100 @@ -0,0 +1,62 @@ +classdef D4Standard < sbp.OpSet + properties + D1 % SBP operator approximating first derivative + H % Norm matrix + HI % H^-1 + Q % Skew-symmetric matrix + e_l % Left boundary operator + e_r % Right boundary operator + D2 % SBP operator for second derivative + M % Norm matrix, second derivative + d1_l % Left boundary first derivative + d1_r % Right boundary first derivative + D3 % SBP operator for third derivative + Q3 % Skew-symmetric matrix in third derivative + d2_l % Left boundary second derivative + d2_r % Right boundary second derivative + D4 % SBP operator for fourth derivative + M4 % Norm matrix, fourth derivative + d3_l % Left boundary third derivative + d3_r % Right boundary third derivative + m % Number of grid points. + h % Step size + x % grid + borrowing % Struct with borrowing limits for different norm matrices + end + + + + methods + function obj = D4Standard(m,lim,order) + + x_l = lim{1}; + x_r = lim{2}; + L = x_r-x_l; + obj.h = L/(m-1); + obj.x = linspace(x_l,x_r,m)'; + + if order == 4 + [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,... + obj.e_l, obj.e_r, obj.M, obj.M4, obj.Q, obj.Q3, obj.d2_l,... + obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l, obj.d1_r] = ... + sbp.implementations.d4_4(m,obj.h); + obj.borrowing.N.S2 = 0.5485; + obj.borrowing.N.S3 = 1.0882; + elseif order == 6 + [obj.H, obj.HI, obj.D1, obj.D2, obj.D3, obj.D4,... + obj.e_l, obj.e_r, obj.M, obj.M4, obj.Q, obj.Q3, obj.d2_l,... + obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l, obj.d1_r] = ... + sbp.implementations.d4_6(m,obj.h); + obj.borrowing.N.S2 = 0.3227; + obj.borrowing.N.S3 = 0.1568; + else + error('Invalid operator order %d.',order); + end + + obj.m = m; + + end + end + + +end \ No newline at end of file