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comparison +sbp/+implementations/d2_noneq_variable_12.m @ 1332:8e9df030a0a5 feature/D2_boundary_opt

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author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Wed, 04 May 2022 08:42:13 +0200
parents 855871e0b852
children b4e5e45bd239
comparison
equal deleted inserted replaced
1331:60c875c18de3 1332:8e9df030a0a5
345 % Remainder term added to wide second derivative operator 345 % Remainder term added to wide second derivative operator
346 R = (1/30735936 / h) * transpose(DD_12) * C1 * DD_12 + (1/6403320 / h) * transpose(DD_11) * C2 * DD_11 + (1/1293600 / h) * transpose(DD_10) * C3 * DD_10 + (1/249480 / h) * transpose(DD_9) * C4 * DD_9 + (1/44352 / h) * transpose(DD_8) * C5 * DD_8 + (1/6468 / h) * transpose(DD_7) * C6 * DD_7; 346 R = (1/30735936 / h) * transpose(DD_12) * C1 * DD_12 + (1/6403320 / h) * transpose(DD_11) * C2 * DD_11 + (1/1293600 / h) * transpose(DD_10) * C3 * DD_10 + (1/249480 / h) * transpose(DD_9) * C4 * DD_9 + (1/44352 / h) * transpose(DD_8) * C5 * DD_8 + (1/6468 / h) * transpose(DD_7) * C6 * DD_7;
347 D2 = D1 * C1 * D1 - H \ R; 347 D2 = D1 * C1 * D1 - H \ R;
348 end 348 end
349 349
350 % Few additional grid point in interior stencil cmp. to minimal 350 % Non-minimal 15 point stencil width
351 function D2 = D2_fun_nonminimal(c) 351 function D2 = D2_fun_nonminimal(c)
352 % Here we add variable diffusion 352 % Here we add variable diffusion
353 C1 = sparse(diag(c)); 353 C1 = sparse(diag(c));
354 C2 = 1/2 * diag(ones(m - 1, 1), -1) + 1/2 * diag(ones(m, 1), 0); C2(1, 2) = 1/2; 354 C2 = 1/2 * diag(ones(m - 1, 1), -1) + 1/2 * diag(ones(m, 1), 0); C2(1, 2) = 1/2;
355 C3 = 5/18 * diag(ones(m - 1, 1), -1) + 5/18 * diag(ones(m - 1, 1), 1) + 4/9 * diag(ones(m, 1), 0); C3(1, 3) = 5/18; C3(m, m - 2) = 5/18; 355 C3 = 5/18 * diag(ones(m - 1, 1), -1) + 5/18 * diag(ones(m - 1, 1), 1) + 4/9 * diag(ones(m, 1), 0); C3(1, 3) = 5/18; C3(m, m - 2) = 5/18;