Mercurial > repos > public > sbplib
diff +sbp/D4CompatibleVariable.m @ 307:fefb2f9884f7 feature/beams
Merge with default.
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Fri, 23 Sep 2016 10:40:12 +0200 |
parents | 4b9310edcdf8 |
children | 067fd13ba320 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/D4CompatibleVariable.m Fri Sep 23 10:40:12 2016 +0200 @@ -0,0 +1,111 @@ +classdef D4CompatibleVariable < 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 = D4CompatibleVariable(m, lim, order, opt) + default_arg('opt', '') + + 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 == 2 + [obj.H, obj.HI, ~, obj.D2, ~, obj.D4, obj.e_l, obj.e_r,... + obj.M4, ~, obj.d2_l, obj.d2_r, obj.d3_l,... + obj.d3_r, obj.d1_l, obj.d1_r] =... + sbp.implementations.d4_compatible_halfvariable_2(m,obj.h); + obj.borrowing.N.S2 = 1.2500; + obj.borrowing.N.S3 = 0.4000; + elseif order == 4 + switch opt + case 'min_boundary_points' + [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable4_min_boundary_points(m,h); + % obj.borrowing.N.S2 = 0.5055; + % obj.borrowing.N.S3 = 0.9290; + otherwise + [obj.H, obj.HI, obj.D2, obj.D4, obj.e_l, obj.e_r, obj.M4,... + obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l,... + obj.d1_r] =... + sbp.implementations.d4_compatible_halfvariable_4(m,obj.h); + obj.borrowing.N.S2 = 0.5055; + obj.borrowing.N.S3 = 0.9290; + end + + elseif order == 6 + + + switch opt + case '2' + [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6_2(m,h); + % obj.borrowing.N.S2 = 0.3259; + % obj.borrowing.N.S3 = 0.1580; + case '3' + [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6_3(m,h); + % obj.borrowing.N.S2 = 0.3259; + % obj.borrowing.N.S3 = 0.1580; + case 'min_boundary_points' + [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable6_min_boundary_points(m,h); + % obj.borrowing.N.S2 = 0.3259; + % obj.borrowing.N.S3 = 0.1580; + otherwise + [obj.H, obj.HI, obj.D2, obj.D4, obj.e_l, obj.e_r, obj.M4,... + obj.d2_l, obj.d2_r, obj.d3_l, obj.d3_r, obj.d1_l,... + obj.d1_r] =... + sbp.implementations.d4_compatible_halfvariable_6(m,obj.h); + obj.borrowing.N.S2 = 0.3259; + obj.borrowing.N.S3 = 0.1580; + end + elseif order == 8 + switch opt + case 'min_boundary_points' + [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable8_min_boundary_points(m,h); + % obj.borrowing.N.S2 = 0.3259; + % obj.borrowing.N.S3 = 0.1580; + otherwise + [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher_variable8_higher_boundary_order(m,h); + % obj.borrowing.N.S2 = 0.3259; + % obj.borrowing.N.S3 = 0.1580; + end + else + error('Invalid operator order.'); + end + + obj.m = m; + + obj.D1 = []; + obj.D3 = []; + + + end + end + + + +end \ No newline at end of file