Tests of a Simulation Method for Boltzmann-like Models with Chemical Reactions

Author: Marinescu D.   Espesset A.   Grünfeld C.P.  

Publisher: Academic Press

ISSN: 0021-9991

Source: Journal of Computational Physics, Vol.175, Iss.1, 2002-01, pp. : 225-248

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Abstract

This paper reports on the numerical implementation of a convergent scheme solving a general class of nonlinear Boltzmann-like equations for reacting fluids. The scheme is tested on a model of space-homogeneous multicomponent gas with binary chemical reactions. Although the model cannot be solved exactly, it provides analytical expressions for certain low-order moments of the one-particle distribution functions. Computing these moments by applying the numerical scheme, one obtains a good agreement with the values obtained analytically. An error analysis is performed and error control considerations complete the theoretical support of the scheme developed in previous works. © 2002 Elsevier Science