Rhie-Chow interpolation

(Difference between revisions)

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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Numerical Methods
Solution of Navier-Stokes equation

@@ Line 3: / Line 3: @@
 :<math> \left[ {\frac{1}{{a_p }}H} \right]_{face}  = \left[ {\frac{1}{{a_p }}\frac{{\nabla p}}{V}} \right]_{face} </math> <br>
-where <math> H = \sum\limits_{neighbours} {a_l } \vec v_l </math> <br>
+where <br>
+:<math> H = \sum\limits_{neighbours} {a_l } \vec v_l </math> <br>
+This interpolation of variables H and <math> {\nabla p} </math> based on coefficients <math> a_p </math> for pressure velocity coupling is called <b>Rhie-Chow interpolation</b>.
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