A consistent BGK-type approach to reacting gas mixtures, according to Boltzmann-like kinetics for a bimolecular reversible chemical reaction has been recently introduced. In this paper we apply a numerical strategy based on time splitting techniques to simulate the reactive BGK equations. These techniques have the advantage of simplifying the problem by treating separately the convection step and collision step. Numerical results of the time-dependent Riemann problem for the reactive BGK system are presented.

Numerical approximation of a BGK-type relaxation model for reactive mixtures / A. Aimi, M. Diligenti, M. Groppi, C. Guardasoni (SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES). - In: Applied and Industrial Mathemathics in Italy II / [a cura di] V. Cutello, G. Fotia, L.Puccio. - Singapore : World Scientific, 2007. - ISBN 9789812709387. - pp. 1-12

Numerical approximation of a BGK-type relaxation model for reactive mixtures

C. Guardasoni
Ultimo
2007

Abstract

A consistent BGK-type approach to reacting gas mixtures, according to Boltzmann-like kinetics for a bimolecular reversible chemical reaction has been recently introduced. In this paper we apply a numerical strategy based on time splitting techniques to simulate the reactive BGK equations. These techniques have the advantage of simplifying the problem by treating separately the convection step and collision step. Numerical results of the time-dependent Riemann problem for the reactive BGK system are presented.
Boltzmann equation ; BGK model ; reacting mixtures ; Riemann problem ; splitting methods
Settore MAT/01 - Logica Matematica
2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/63829
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