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Fluid-particles flows: a thin spray model with energy exchanges. (English) Zbl 1176.76132

Summary: This paper is devoted to an asymptotic analysis of a fluid-particles coupled model, in the bubbling regime. On the theoretical point of view, we extend the analysis done by J.-A. Carrillo, Th. Goudon and P. Lafitte [J. Comput. Phys. 227, No. 16, 7929–7951 (2008; Zbl 1141.76050)] for the case of an isentropic gas to the case of an ideal gas, thus adding the internal energy, or temperature, which is unknown. We formally derive the bubbling limit system in the same way as in [loc. cit.] and propose a numerical scheme to solve this limit system.
The numerical resolution of the non-limit system, and the numerical analysis of the asymptotic properties of the scheme (e.g. the asymptotic preserving property), as performed in [loc. cit.], is at study.

MSC:

76T10 Liquid-gas two-phase flows, bubbly flows

Citations:

Zbl 1141.76050
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