# Rhie-Chow interpolation

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 Revision as of 11:34, 23 October 2005 (view source)Zxaar (Talk | contribs)← Older edit Revision as of 11:39, 23 October 2005 (view source)Zxaar (Talk | contribs) Newer edit → Line 3: Line 3: :$\left[ {\frac{1}{{a_p }}H} \right]_{face} = \left[ {\frac{1}{{a_p }}\frac{{\nabla p}}{V}} \right]_{face}$
:$\left[ {\frac{1}{{a_p }}H} \right]_{face} = \left[ {\frac{1}{{a_p }}\frac{{\nabla p}}{V}} \right]_{face}$
- where $H = \sum\limits_{neighbours} {a_l } \vec v_l$
+ 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. ---- ----

## Revision as of 11:39, 23 October 2005

we have at each cell descretised equation in this form,

$a_p \vec v_P = \sum\limits_{neighbours} {a_l } \vec v_l - \frac{{\nabla p}}{V}$ ;
$\left[ {\frac{1}{{a_p }}H} \right]_{face} = \left[ {\frac{1}{{a_p }}\frac{{\nabla p}}{V}} \right]_{face}$

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.

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