An Asymptotic Preserving Scheme for the Barotropic Baer-Nunziato Model

作者: Rémi Abgrall , Sophie Dallet

DOI: 10.1007/978-3-319-05591-6_75

关键词: MathematicsBarotropic fluidScheme (mathematics)Riemann problemApproximations of πApplied mathematicsRelaxation (NMR)Classical mechanics

摘要: We introduce in this paper a new scheme for obtaining approximations of solutions the barotropic Baer-Nunziato (BN) model. This is expected to provide relevant when relaxation time scales embedded pressure and velocity terms vanish. A brief recall BN model asymptotic first given. The its main properties are described some numerical results provided confirming that it behaves reasonably well.

参考文章(7)
Floraine Cordier, Pierre Degond, Anela Kumbaro, An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations Journal of Computational Physics. ,vol. 231, pp. 5685- 5704 ,(2012) , 10.1016/J.JCP.2012.04.025
A. Ambroso, C. Chalons, F. Coquel, T. Galié, E. Godlewski, P. A. Raviart, N. Seguin, The drift-flux asymptotic limit of barotropic two-phase two-pressure models Communications in Mathematical Sciences. ,vol. 6, pp. 521- 529 ,(2008) , 10.4310/CMS.2008.V6.N2.A13
Mai Duc Thanh, Dietmar Kröner, Nguyen Thanh Nam, Numerical approximation for a Baer–Nunziato model of two-phase flows Applied Numerical Mathematics. ,vol. 61, pp. 702- 721 ,(2011) , 10.1016/J.APNUM.2011.01.004
H. Guillard, F. Duval, A Darcy law for the drift velocity in a two-phase flow model Journal of Computational Physics. ,vol. 224, pp. 288- 313 ,(2007) , 10.1016/J.JCP.2007.02.025
M.R. Baer, J.W. Nunziato, A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials International Journal of Multiphase Flow. ,vol. 12, pp. 861- 889 ,(1986) , 10.1016/0301-9322(86)90033-9
R. Herbin, J.-C. Latché, T.T. Nguyen, EXPLICIT STAGGERED SCHEMES FOR THE COMPRESSIBLE EULER EQUATIONS Esaim: Proceedings. ,vol. 40, pp. 83- 102 ,(2013) , 10.1051/PROC/201340006
Frédéric Coquel, Jean-Marc Hérard, Khaled Saleh, Nicolas Seguin, A Robust Entropy-Satisfying Finite Volume Scheme for the Isentropic Baer-Nunziato Model Mathematical Modelling and Numerical Analysis. ,vol. 48, pp. 165- 206 ,(2014) , 10.1051/M2AN/2013101