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

Language
en
Document Type
Article
Issue Date
2012-11-15
Issue Year
2011
Authors
Noskowicza, S. H.
Serero, Dan
Editor
Abstract

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

Journal Title
Mathematical Modelling of Natural Phenomena 6.4 (2011): S. 151-174. 09.11.2012 <http://www.mmnp-journal.org/action/displayAbstract?fromPage=online&aid=8330965&fulltextType=RA&fileId=S0973534811064078>
Citation
Mathematical Modelling of Natural Phenomena 6.4 (2011): S. 151-174. 09.11.2012 <http://www.mmnp-journal.org/action/displayAbstract?fromPage=online&aid=8330965&fulltextType=RA&fileId=S0973534811064078>
DOI
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