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Help to Solve the Boltzmann Equation

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Dear members,


does anyone know a reference to a paper where

it is explained in details how to numerically solve

non-linear Boltzmann equation with non-zero collision

integral (hard sphere case)


I also interested in solving numerically conservative Euler equations.


Any paper or link to a numeric scheme descriptions would be greatly appreciated!


Thank you very much!


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there are several books that I am familiar with:


Modeling and Computational Methods for Kinetic Equations by Degond, Pareschi, and Russo.




The Fokker-Planck Equation by Risken and Frank


Any good CFD (computational fluid dynamics) book will show techniques on how to solve the Euler equations because they are a good test case to build up to solving the Navier-Stokes equations.

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