# On SIMPLE algorithm in compressible flow situation

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 October 11, 2001, 00:26 On SIMPLE algorithm in compressible flow situation #1 Abhijeet Vaidya Guest   Posts: n/a 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 !

 October 12, 2001, 06:55 Re: On SIMPLE algorithm in compressible flow situa #2 Peter Guest   Posts: n/a 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: by I. Demirdzic etc, International J. for Numerical methods in fluids Vol. 16, p1029-1050, 1993

 October 15, 2001, 02:20 Re: On SIMPLE algorithm in compressible flow situa #3 Jean van der Merwe Guest   Posts: n/a 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. Thanks in advance Jean

 October 18, 2001, 05:46 Re: On SIMPLE algorithm in compressible flow situa #4 Peter Guest   Posts: n/a 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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