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 Abhijeet Vaidya October 11, 2001 00:26

On SIMPLE algorithm in compressible flow situation

Respected sirs, As per the derivation of pressure correction equation in Patankar's SIMPLE algorithm,the density corrections are not directly incorporated. This makes the SIMPLE best suited for the incompressible calculations. Can I use this formulation for compressible subsonic flows directly ? e.g. flame propagation in a premixed fuel air mixture without detonation! Or in other words, where do I have to introduce density corrections, at M > 0.3 or at M >= 1. Thanking you !

 Peter October 12, 2001 06:55

Re: On SIMPLE algorithm in compressible flow situa

In the continuity equation, the mass is

mass = density(new)*velocity(new)*area

= [density(old)+density(correction]*

[velocity(old)+velocity(correction)]*area

~={density(old)*velocity(old)+

density(old)*velocity(correction)+

density(correction)*velocity(old)}*area

velocity(correction)~ p(correction)

density(correction)~ p(correction) through

equation of state That is, you have extra term in pressure correction equation due to density change.

Reference paper: <A collocated finite volume method for predicting flows at all speeds> by I. Demirdzic etc, International J. for Numerical methods in fluids Vol. 16, p1029-1050, 1993

 Jean van der Merwe October 15, 2001 02:20

Re: On SIMPLE algorithm in compressible flow situa

I searched for this article, but could not find it. Peter, can you help me. I would like to expand this formula to the Piso algorithm. This will also be used to enable the modelling of subsonic compressible flow.

 Peter October 18, 2001 05:46

Re: On SIMPLE algorithm in compressible flow situa

The title of the paper is:

A Collocated Finite Volume Method for Predicting Flows at all Speeds

by I. Demirdzic, Z. Lilek and M. Peric

If you really can not find it, pass me your Mail address or fax number to Luojia2000@aol.com, I may give you a copy.

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