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Application of the Method of Generating Functions to the Derivation of Grad’s N-Moment Equations for a Granular Gas
Published online by Cambridge University Press: 18 July 2011
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.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 4: Granular hydrodynamics , 2011 , pp. 151 - 174
- Copyright
- © EDP Sciences, 2011