A Numerical Scheme for the Modeling of Condensation and Flash Vaporization in Compressible Multi-Phase Flows

作者: Vincent Perrier , Rémi Abgrall , Ludovic Hallo

DOI: 10.1007/978-3-540-34288-5_85

关键词: Phase transitionScheme (programming language)ThermodynamicsRiemann problemComputer scienceVaporizationClosure (computer programming)CompressibilityRelation (database)MechanicsCondensation

摘要: This paper is a contribution to the modeling and simulation of phase transition problems in compressible flows. difficult problem that has already encountered lots attention, see [9] references therein. We first describe simplified thermodynamic model, then we recall difficulties propose new kinetic closure relation. A numerical scheme sketched two examples are provided.

参考文章(13)
Donald A. Drew, Stephen L. Passman, Theory of Multicomponent Fluids ,(1998)
Richard Courant, K. O. Friedrichs, Supersonic flow and shock waves ,(1948)
Pierre-Arnaud Raviart, Edwige Godlewski, Numerical Approximation of Hyperbolic Systems of Conservation Laws ,(1996)
Rémi Abgrall, Vincent Perrier, None, Asymptotic Expansion of a Multiscale Numerical Scheme for Compressible Multiphase Flow Multiscale Modeling & Simulation. ,vol. 5, pp. 84- 115 ,(2006) , 10.1137/050623851
Rémi Abgrall, Richard Saurel, Discrete equations for physical and numerical compressible multiphase mixtures Journal of Computational Physics. ,vol. 186, pp. 361- 396 ,(2003) , 10.1016/S0021-9991(03)00011-1
O Le Métayer, J Massoni, R Saurel, Élaboration des lois d'état d'un liquide et de sa vapeur pour les modèles d'écoulements diphasiques International Journal of Thermal Sciences. ,vol. 43, pp. 265- 276 ,(2004) , 10.1016/J.IJTHERMALSCI.2003.09.002
Ralph Menikoff, Bradley J. Plohr, The Riemann problem for fluid flow of real materials Reviews of Modern Physics. ,vol. 61, pp. 75- 130 ,(1989) , 10.1103/REVMODPHYS.61.75
Tai-Ping Liu, The Riemann problem for general systems of conservation laws Journal of Differential Equations. ,vol. 18, pp. 218- 234 ,(1975) , 10.1016/0022-0396(75)90091-1
Thomas Barberon, Philippe Helluy, Finite volume simulation of cavitating flows Computers & Fluids. ,vol. 34, pp. 832- 858 ,(2005) , 10.1016/J.COMPFLUID.2004.06.004