User:Arthurv~enwiki/opensource

Open Source CFD
Newton iterations:



V_I^{n+1} ( \frac{3}{2 \Delta t} + \frac{1}{\Delta \tau} - J^m ) ( U_I^{m+1} -U_I^m ) = R(U^m) + \frac{ 4(V_I U_I)^n - (V_I U_I)^{n-1} } {2 \Delta t}       - \frac{ 3 V_I^{n+1} U_I^m } {2 \Delta t} $$

Jacobi iterations:



A^D\Delta U_I^{{m+1}^{k+1}}=-\sum_{i=1}^N A_{Ji}^{OD}\Delta U_{Ji}^{{m+1}^k}+R_I^n $$