Direct simulation of the uniformly heated granular boltzmann equation

Authors:
I. M. Gamba;S. Rjasanow;W. Wagner
Affiliations:
Department of Mathematics The University of Texas at Austin Austin, TX 78712, U.S.A.;Fachrichtung 6.1 Mathematik Universität des Saarlandes Postfach 151150 66041 Saarbrücken, Germany;Weierstrass Institute for Applied Analysis and Stochastics Mohrenstr. 39, 10117 Berlin, Germany
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2005

Citing 2
Cited 3

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Simulation of rare events by the stochastic weighted particle method for the Boltzmann equation

Mathematical and Computer Modelling: An International Journal

Accurate numerical methods for the collisional motion of (heated) granular flows

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Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states

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Numerical studies of a granular gas in a host medium

Journal of Computational Physics

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Abstract

In this paper, we study properties of dilute granular flows, which are described by the spatially homogeneous uniformly heated inelastic Boltzmann equation. A new modification of the direct simulation Monte Carlo method is presented and validated using some analytically known functional of the solution. Then, the algorithm is applied to compute high velocity tails of the steadystate solution. The numerical results are used to check various theoretical predictions concerning the asymptotical behaviour of the tails.