Riv. Mat. Univ. Parma, Vol. 10, No. 2, 2019

Gabriella Puppo [a]

Kinetic models of BGK type and their numerical integration

Pages: 299-349
Received: 11 February 2019
Accepted in revised form: 15 October 2019
Mathematics Subject Classification (2010): 82B40, 81T80, 65Z05.
Keywords: Kinetic models, Multifluids mixtures, Asymptotic Preserving schemes.
Authors address:
[a]: La Sapienza Università di Roma, Roma, Italy

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Abstract: This minicourse contains a description of recent results on the modelling of rarefied gases in weakly non equilibrium regimes, and the numerical methods used to approximate the resulting equations. Therefore this work focuses on BGK type approximations, rather than on full Boltzmann models. Within this framework, models for polyatomic gases and for mixtures will be considered. We will also address numerical issues characteristic of the difficulties one encounters when integrating kinetic equations. In particular, we will consider asymptotic preserving schemes, which are designed to approximate equilibrium solutions, without resolving the fast scales of the approach to equilibrium.

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