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Application of the Method of Generating Functions to theDerivation of Grad’s N-Moment Equations for a Granular Gas

Published online by Cambridge University Press:  18 July 2011

S. H. Noskowicz  and
D. Serero
S. H. Noskowicz*
Affiliation:
School of Mechanical Engineering, Faculty of engineering, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel
D. Serero
Affiliation:
Institute for Multiscale Simulation, Universität Erlangen-Nürnberg, Nägelsbachstraße 49b, 91052 Erlangen, Germany
*
⋆Corresponding author. E-mail: henri@eng.tau.ac.il and sh.noskowicz@gmail.com
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Abstract

A computer aided method using symbolic computations that enables the calculation of thesource terms (Boltzmann) in Grad’s method of moments is presented. The method is extremelypowerful, easy to program and allows the derivation of balance equations to very highmoments (limited only by computer resources). For sake of demonstration the method isapplied to a simple case: the one-dimensional stationary granular gas under gravity. Themethod should find applications in the field of rarefied gases, as well. Questions ofconvergence, closure are beyond the scope of this article.

Keywords

Grad’s method of momentsgranular gasgenerating functioncomputer aided
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 4: Granular hydrodynamics , 2011 , pp. 151 - 174
Copyright
© EDP Sciences, 2011

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