Numerical studies of a granular gas in a host medium

Authors:
M. Bisi;S. Rjasanow;G. Spiga
Affiliations:
Dipartimento di Matematica, Universití di Parma, Viale G.P. Usberti 53/A, I-43100 Parma, Italy;Fachrichtung 6.1-Mathematik, Universität des Saarlandes, Postfach 151150, D-66041 Saarbrücken, Germany;Dipartimento di Matematica, Universití di Parma, Viale G.P. Usberti 53/A, I-43100 Parma, Italy
Venue:
Journal of Computational Physics
Year:
2012

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Abstract

The nonlinear dissipative Boltzmann equation for an granular gas diffusing in a elastically scattering host medium is investigated and numerically solved by means of direct stochastic simulation. The procedure requires an appropriate treatment of the two collision integrals involved, and of their different features. The algorithm is first tested versus exact results for macroscopic moments worked out in the Maxwellian-pseudo-molecules approximation, and then it is applied to the more realistic collision model of hard spheres for both elastic and inelastic encounters. When collisions with background are dominant, reliability of some hydrodynamic closures is then discussed by comparison of their outputs to the kinetic results achieved by the present DSMC approach.