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
  • [1] Piecewise parabolic method for compressible multi-fluid flow with Mie-Griineisen equation of state
    Zheng, Jian-Guo
    Ma, Dong-Jun
    Sun, De-Jun
    Yin, Xie-Yuan
    Baozha Yu Chongji/Explosion and Shock Waves, 2006, 26 (02): : 156 - 162
  • [2] A solution adaptive simulation of compressible multi-fluid flows with general equation of state
    Zheng, H. W.
    Shu, C.
    Chew, Y. T.
    Qin, N.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2011, 67 (05) : 616 - 637
  • [3] van der Waals equation of state for a fluid in a nanopore
    Zarragoicoechea, GJ
    Kuz, VA
    PHYSICAL REVIEW E, 2002, 65 (02): : 1 - 021110
  • [4] A volume of fluid method based ghost fluid method for compressible multi-fluid flows
    Bo, Wurigen
    Grove, John W.
    COMPUTERS & FLUIDS, 2014, 90 : 113 - 122
  • [5] An oscillation free shock-capturing method for compressible van der Waals supercritical fluid flows
    Pantano, C.
    Saurel, R.
    Schmitt, T.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 335 : 780 - 811
  • [6] A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state
    Shyue, KM
    JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 156 (01) : 43 - 88
  • [7] Global crossover equation of state of a van der Waals fluid
    Wyczalkowska, AK
    Anisimov, MA
    Sengers, JV
    FLUID PHASE EQUILIBRIA, 1999, 158 : 523 - 535
  • [8] Application of real ghost fluid method to simulation of compressible multi-fluid flows
    Chen, H. (ch02221@126.com), 2013, Explosion and Shock Waves (33):
  • [9] On van der Waals' equation of state
    Kohnstamm, P
    PROCEEDINGS OF THE KONINKLIJKE AKADEMIE VAN WETENSCHAPPEN TE AMSTERDAM, 1904, 6 : 794 - 807
  • [10] Van der waals equation of state
    Gorenstein, Mark
    LOW TEMPERATURE PHYSICS, 2022, 48 (11) : 914 - 919