Tests of a simulation method for Boltzmann-like models with chemical reactions
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. (C) 2002 Elsevier Science.
chemical reactions numerical simulation gas mixtures boltzmann equation monte-carlo methods