User:Arthurv~enwiki/opensource

Open Source CFD

Newton iterations:

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

Jacobi iterations:

$A^{D}\Delta U_{I}^{{m+1}^{k+1}}=-\sum _{i=1}^{N}A_{Ji}^{OD}\Delta U_{Ji}^{{m+1}^{k}}+R_{I}^{n}$