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August 25, 1999, 00:37 
Euler & NS EQUATIONS from Boltzmann EQUATION

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Gurus,
Can anybody tell me some literature where derivation of NAvierStokes and Euler equations FROM BOLTZMANN EQUATION of statstical kinematics is given. I checked in few books but the methos they talk of are very difficult to understand. Thank You Yogesh 

August 25, 1999, 07:43 
Re: Euler & NS EQUATIONS from Boltzmann EQUATION

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For a very readable development, try
Present, R. D., "Kinetic Theory of Gases," McGrawHill, 1958. Also, Mayer & Mayer, "Statistical Mechanics," Wiley, 1940. Some of you newer fellows might recommend some newer books. 

August 29, 1999, 12:38 
Re: Euler & NS EQUATIONS from Boltzmann EQUATION

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Hello Mr Talekar:
Exa Corporation in the US has developed a new class of CFD solver based on kinetic theory and statistical physics (lattice Boltzmann). The macroscopic NavierStokes equations are recovered from Exa's digital physics algorithm. There is more technology information at the Exa web site: http://www.exa.com An 

August 29, 1999, 23:35 
Re: Euler & NS EQUATIONS from Boltzmann EQUATION

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Do they have derivation of NS eqs or references to it at their web page?
Andrzej 

August 30, 1999, 00:22 
Re: Euler & NS EQUATIONS from Boltzmann EQUATION

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No there is no such reference to the derivations on the webpage. But still I am quite a lot in dark about the derivation.
Somebody should help me! 

August 30, 1999, 09:31 
Re: Euler & NS EQUATIONS from Boltzmann EQUATION

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Hello!
Here are some published papers on kinetic schemes for Euler Equations, which also show the connection between the Boltzman equation and the Euler equations. 1. SM DESHPANDE, "Kinetic theory based new upwind methods for inviscid compressible flows", AIAA Paper, 860275, 1986 2. JC MANDAL & SM DESPHANDE, "Kinetic Flux Vector Splitting for the Euler Equations", Computers and Fluids, vol.23, pp. 447478, 1994 (You should be able to get this easily) I found the following book to be very good. It contains a section on kinetic schemes. You will find more references in this book. GODLEWSKI and RAVIART: Numerical Approximations to Hyperbolic Systems of Conservation Laws, Springer. Hope this helps. 

August 30, 1999, 15:50 
Re: Euler & NS EQUATIONS from Boltzmann EQUATION

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Hi Yogesh..
There is ICASE report 9921 (www.icase.edu) by Qian et al titled "On higher order dynamics in latticebased models using ChapmanEnsog method".... You can download that... Y.H. Qian's Phd dissertation is " Lattice gas and lattice kinetic theory applied to the NavierStokes equation" Hopefully this will give you a start... regards Mayank Tyagi 

August 31, 1999, 05:31 
Thankx a lot

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Respected "gurus"
Thank u very much for you help and guidance. But still something more is needed Yogesh 

August 31, 1999, 05:35 
Re: Euler & NS EQUATIONS from Boltzmann EQUATION

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Dear Praveen
Thank you very much for the suggestions. I will certainly try to go through the litureature Thank you once again YOGESH 

September 1, 1999, 12:11 
Re: Euler & NS EQUATIONS from Boltzmann EQUATION

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Yogesh,
Here are some more references you can try: "The Mathematical Theory of NonUniform Gases", S. Chapman, T.G. Cowling, Cambridge University Press "Statistical Mechanics", K. Huang, John Wiley & Sons., Inc. Chapters 36 On Exa's website there is a paper called: "Digital Physics Approach to Computational Fluid Dynamics: Some Basic Theoretical Features", Chen, Teixeira and Molvig. Journal of Modern Physics C., Vol. 8 (1997) pg. 675 a postscript file link to the above paper can be found at http://www.exa.com/powerflow/papersdir.html Hope this helps. Dave 

September 13, 1999, 09:00 
fluent bfc 2 triangular mesh

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I would like to convert a bfcmesh A created by fluent into a mesh B . The format of the mesh B should be similar to the one ,i would use in povray to render the object depicted by A . That is, find triangles,that make up the surface of the object,that has been rendered into mesh A . UNfortunately,i donīt have access to a copy of the fluent software. Is there a way to to do this conversion by hand ?
Mesh A looks like #!fluent.1 2 Created by : ICEM CFD/CAE FLUENT Interface Vers. 3.3.2 # 1 Title FLUENT Grid File /* CONFIGURATION = tbif */ # 6 Grid Type 2 1 3 14 98 51 # 9 BFC Grid 1.214401E08 9.703458E06 1.838437E05 2.586320E05 3.196537E05 3.652791E05 3.939371E05 4.040466E05 3.939997E05 3.626388E05 ......... 

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