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

S. H. Noskowicz; D. Serero

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 4, page 151-174
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Noskowicz, S. H., and Serero, D.. "Application of the Method of Generating Functions to the Derivation of Grad’s N-Moment Equations for a Granular Gas." Mathematical Modelling of Natural Phenomena 6.4 (2011): 151-174. <http://eudml.org/doc/222186>.

@article{Noskowicz2011,
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.},
author = {Noskowicz, S. H., Serero, D.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {Grad’s method of moments; granular gas; generating function; computer aided; Grad's method of moments},
language = {eng},
month = {7},
number = {4},
pages = {151-174},
publisher = {EDP Sciences},
title = {Application of the Method of Generating Functions to the Derivation of Grad’s N-Moment Equations for a Granular Gas},
url = {http://eudml.org/doc/222186},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Noskowicz, S. H.
AU - Serero, D.
TI - Application of the Method of Generating Functions to the Derivation of Grad’s N-Moment Equations for a Granular Gas
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/7//
PB - EDP Sciences
VL - 6
IS - 4
SP - 151
EP - 174
AB - 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.
LA - eng
KW - Grad’s method of moments; granular gas; generating function; computer aided; Grad's method of moments
UR - http://eudml.org/doc/222186
ER -

References

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