Piecewise parabolic method for compressible multi-fluid flows with van der Waals equation of state

被引:0
|
作者
Zheng, Jianguo [1 ]
Ma, Dongjun [1 ]
Sun, Dejun [1 ]
Yin, Xieyuan [1 ]
机构
[1] School of Engineering Science, University of Science and Technology of China, Hefei 230027, China
关键词
Approximation theory - Computer simulation - Equations of state - Mathematical models - Van der Waals forces - Volume fraction;
D O I
暂无
中图分类号
学科分类号
摘要
In a compressible fluid-mixture model based on volume fraction, a high-order piecewise parabolic method (PPM) is employed to solve multi-fluid flows characterized by the van der Waals equation of state. A double shock approximation is used in the Riemann solver. Simulation on a pure interface problem indicates that the pressure and velocity profiles do not show any spurious oscillation at the contact discontinuity and the numerical diffusion is limited within two or three cell grids. It shows that the method deals with such physical problems as contact discontinuity, shock, multi-dimensional slip line efficiently.
引用
收藏
页码:287 / 294
相关论文
共 50 条
  • [31] An accurate van der Waals-type equation of state for the Lennard-Jones fluid
    Mecke, M
    Muller, A
    Winkelmann, J
    Vrabec, J
    Fischer, J
    Span, R
    Wagner, W
    INTERNATIONAL JOURNAL OF THERMOPHYSICS, 1996, 17 (02) : 391 - 404
  • [32] Multi-fluid flows with the Particle Finite Element Method
    Idelsohn, Sergio
    Mier-Torrecilla, Monica
    Onate, Eugenio
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (33-36) : 2750 - 2767
  • [33] Van Der Waals' equation of state and the compressibility of molecules.
    Macleod, DB
    TRANSACTIONS OF THE FARADAY SOCIETY, 1944, 40 : 0439 - 0447
  • [34] Generalized van der Waals-Berthelot equation of state
    Sobko, A. A.
    DOKLADY PHYSICS, 2008, 53 (08) : 416 - 419
  • [35] The consistent Boltzmann algorithm for the van der Waals equation of state
    Alexander, FJ
    Garcia, AL
    Alder, BJ
    PHYSICA A, 1997, 240 (1-2): : 196 - 201
  • [36] Letter: Brane Cosmology with a van der Waals Equation of State
    G. M. Kremer
    General Relativity and Gravitation, 2004, 36 : 1423 - 1432
  • [37] VAN DER WAALS EQUATION OF STATE FOR ASYMMETRIC NUCLEAR MATTER
    Sanzhur, A., I
    NUCLEAR PHYSICS AND ATOMIC ENERGY, 2022, 23 (02): : 79 - 92
  • [38] VARIATIONS ON VAN DER WAALS EQUATION OF STATE FOR HIGH DENSITIES
    GUGGENHEIM, EA
    MOLECULAR PHYSICS, 1965, 9 (02) : 199 - +
  • [39] A van der Waals equation of state for a dilute boson gas
    Deeney, F. A.
    O'Leary, J. P.
    EUROPEAN JOURNAL OF PHYSICS, 2012, 33 (03) : 677 - 687
  • [40] Particle number fluctuations for the van der Waals equation of state
    Vovchenko, V.
    Anchishkin, D. V.
    Gorenstein, M. I.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (30)