Direct simulation of the uniformly heated granular boltzmann equation

• Published in: Mathematical and computer modelling Vol. 42; no. 5; pp. 683 - 700
• Main Authors: Gamba, I.M., Rjasanow, S., Wagner, W.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.09.2005; Elsevier Science
• Subjects: Boltzmann equation; Exact sciences and technology; Granular matter; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Numerical methods in probability and statistics; Partial differential equations; Sciences and techniques of general use; Stochastic numerics; Stochastic numerics; Granular matter; Boltzmann equation; Monte Carlo method; Heat equation; Stochastic method; Steady state; Direct method; Numerical analysis; Applied mathematics; Granular material; Stochastic calculus; Mathematical model; Steady state solution
• ISSN: 0895-7177; 1872-9479
• DOI: 10.1016/j.mcm.2004.02.047

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.