Tests of a simulation method for Boltzmann-like models with chemical reactions

D Marinescu, A Espesset, CP Grünfeld - Journal of Computational Physics, 2002 - Elsevier
Journal of Computational Physics, 2002Elsevier
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 …
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.
Elsevier
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