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Semi-Lagrangian Approximation of BGK Models for Inert and Reactive Gas Mixtures

  • M. GroppiEmail author
  • G. Russo
  • G. Stracquadanio
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 258)

Abstract

Recent relaxation time-approximation models of BGK-type for the kinetic description of both inert and reacting gas mixtures are reviewed and their main properties are recalled. The models are characterized by only one Maxwellian attractor for each species; such attractors are defined in terms of auxiliary parameters. For their numerical approximation, semi-Lagrangian schemes are proposed. Numerical simulations are presented with the aim of showing the peculiarities of the different BGK models and the performance of the numerical method.

Notes

Acknowledgements

This work was supported by MIUR, by the National Group of Mathematical Physics (GNFM-INdAM), by the National Group sof Scientific Computing (GNCS-INdAM), and by the Universities of Catania and Parma (Italy).

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of Mathematical, Physical and Computer SciencesUniversity of ParmaParmaItaly
  2. 2.Department of Mathematics and Computer SciencesUniversity of CataniaCataniaItaly

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