# Rhie-Chow interpolation

(Difference between revisions)
 Revision as of 02:54, 19 December 2008 (view source) (corelouge)← Older edit Revision as of 12:32, 19 December 2008 (view source)Peter (Talk | contribs) m (Reverted edits by OuoucAcnar (Talk) to last version by Zxaar)Newer edit → Line 1: Line 1: - darcna we have at each cell descretised equation in this form,
we have at each cell descretised equation in this form,
:$a_p \vec v_P = \sum\limits_{neighbours} {a_l } \vec v_l - \frac{{\nabla p}}{V}$ ;
:$a_p \vec v_P = \sum\limits_{neighbours} {a_l } \vec v_l - \frac{{\nabla p}}{V}$ ;

## Revision as of 12:32, 19 December 2008

we have at each cell descretised equation in this form,

$a_p \vec v_P = \sum\limits_{neighbours} {a_l } \vec v_l - \frac{{\nabla p}}{V}$ ;

For continuity we have

$\sum\limits_{faces} \left[ {\frac{1}{{a_p }}H} \right]_{face} = \sum\limits_{faces} \left[ {\frac{1}{{a_p }}\frac{{\nabla p}}{V}} \right]_{face}$

where

$H = \sum\limits_{neighbours} {a_l } \vec v_l$

This interpolation of variables H and ${\nabla p}$ based on coefficients $a_p$ for pressure velocity coupling is called Rhie-Chow interpolation.