Rhie-Chow interpolation
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we have at each cell descretised equation in this form, <br> | we have at each cell descretised equation in this form, <br> | ||
:<math> a_p \vec v_P = \sum\limits_{neighbours} {a_l } \vec v_l - \frac{{\nabla p}}{V} </math> ; <br> | :<math> a_p \vec v_P = \sum\limits_{neighbours} {a_l } \vec v_l - \frac{{\nabla p}}{V} </math> ; <br> | ||
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This interpolation of variables H and <math> {\nabla p} </math> based on coefficients <math> a_p </math> for [[Velocity-pressure coupling | pressure velocity coupling ]] is called <b>Rhie-Chow interpolation</b>. | This interpolation of variables H and <math> {\nabla p} </math> based on coefficients <math> a_p </math> for [[Velocity-pressure coupling | pressure velocity coupling ]] is called <b>Rhie-Chow interpolation</b>. | ||
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| + | the Rhie-Chow interpolation is the same as adding a pressure term, which is proportional to a third derivative of the pressue | ||
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Latest revision as of 06:14, 27 August 2012
we have at each cell descretised equation in this form,
;
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}](/W/images/math/8/7/1/8716a0f2e3b6892c158df26a9c5b8c67.png)
where
This interpolation of variables H and 
based on coefficients 
for pressure velocity coupling is called Rhie-Chow interpolation.
the Rhie-Chow interpolation is the same as adding a pressure term, which is proportional to a third derivative of the pressue
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