Discrete velocity models of the Enskog-Vlasov equation

作者: K. Piechór

DOI: 10.1080/00411459408203854

关键词:

摘要: Abstract In order to have, a kinetic equation suited liquid dynamics and phase transitions, the intermolecular potential is split into repulsive hard-core an attractive tail. The treated as in revised Enskog equation, whereas tail enters only linearly, mean-field term. Such called Enskog-Vlasov equation. goal of paper present construction class models based on idea discretization velocity space. A proposal solution two problems given: discrete collisional operator; equations with self-consistent forces. conservation which follow from proposed have structure capillarity vander Waals-like pressure formula, if Kac limit imposed

参考文章(27)
K. Piechor, A rational construction of discrete velocity models of the Boltzmann equation Archives of Mechanics. ,vol. 40, pp. 323- 343 ,(1988)
A. S. Alves, Study of a discrete kinetic model of a gas under a Newtonian potential European Journal of Mechanics B-fluids. ,vol. 9, pp. 457- 467 ,(1990)
H. Gouin, H. H. Fliche, Film Boiling Phenomena in Liquid-Vapour Interfaces Springer, Berlin, Heidelberg. pp. 305- 314 ,(1990) , 10.1007/978-3-642-83587-2_27
R Monaco, L Preziosi, Fluid dynamic applications of the discrete Boltzmann equation World Scientific. ,(1991) , 10.1142/1264
Pierre M. V. Résibois, M. de Leener, Classical kinetic theory of fluids ,(1977)
A. Palczewski, Giuseppe Toscani, Nicola Bellomo, Mathematical topics in nonlinear kinetic theory ,(1988)
T. G. Cowling, Sydney Chapman, David Park, The mathematical theory of non-uniform gases ,(1939)
J. L. Lebowitz, O. Penrose, Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition Journal of Mathematical Physics. ,vol. 7, pp. 98- 113 ,(1966) , 10.1063/1.1704821