Monte Carlo simulation for molecular gas dynamics

Deshpande, S. M. ; Subba Raju, P. V. (1988) Monte Carlo simulation for molecular gas dynamics Sadhana (Academy Proceedings in Engineering Sciences), 12 (1-2). pp. 105-123. ISSN 0256-2499

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The dynamics of low-density flows is governed by the Boltzmann equation of the kinetic theory of gases. This is a nonlinear integro-differential equation and, in general, numerical methods must be used to obtain its solution. The present paper, after a brief review of Direct Simulation Monte Carlo (DSMC) methods due to Bird, and Belotserkovskii and Yanitskii, studies the details of the DSMC method of Deshpande for mono as well as multicomponent gases. The present method is a statistical particle-in-cell method and is based upon the Kac-Prigogine master equation which reduces to the Boltzmann equation under the hypothesis of molecular chaos. The proposed Markoff model simulating the collisions uses a Poisson distribution for the number of collisions allowed in cells into which the physical space is divided. The model is then extended to a binary mixture of gases and it is shown that it is necessary to perform the collisions in a certain sequence to obtain unbiased simulation.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Low Density Flow; Boltzmann Equation; Kac-Prigogine Master Equation; Collision Dynamics; Monte Carlo Method; Unbiased and Consistent Estimator
ID Code:9472
Deposited On:02 Nov 2010 12:08
Last Modified:16 May 2016 19:16

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