Numerical Approximation of a BGK-type Relaxation Model for Reactive Mixtures

Alessandra Aimi, Mauro Diligenti, Maria Groppi, Chiara Guardasoni


The kinetic modelling of chemically reacting gas mixtures represents a fundamental
step in order to derive proper macroscopic description at hydrodynamic level. Useful model
equations have been recently obtained following a consistent BGK approach. A common way to
solve the BGK equations is based on the operator splitting, i.e. the solution in one time step
is obtained by the sequence of collision-step and convection-step. Numerical approximation
of such BGK equations for problems with axial symmetry is here adressed. Several results in
the numerical resolution of the Riemann problem for gas mixtures, obtained with splitting
methods of different orders, are presented.

[DOI: 10.1685/CSC06004] About DOI

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