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An asymptotic preserving scheme for the barotropic Baer-Nunziato model. (English) Zbl 1426.76326

Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Cham: Springer. Springer Proc. Math. Stat. 78, 749-757 (2014).
Summary: We introduce in this paper a new scheme for obtaining approximations of solutions of the barotropic Baer-Nunziato (BN) model. This scheme is expected to provide relevant approximations when relaxation time scales embedded in pressure and velocity relaxation terms vanish. A brief recall of the BN model and the asymptotic model is first given. The scheme and its main properties are described and some numerical results are provided confirming that it behaves reasonably well.
For the entire collection see [Zbl 1291.65005].

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
76T10 Liquid-gas two-phase flows, bubbly flows
86A05 Hydrology, hydrography, oceanography
86A10 Meteorology and atmospheric physics
Full Text: DOI

References:

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