Applied Mathematics and Mechanics

, Volume 28, Issue 7, pp 921–929 | Cite as

Numerical study of dynamic phase transitions in shock tube

  • Wang Ping  (王平)Email author
  • Tang Shao-qiang  (唐少强)


Shock tube problem of a van der Waals fluid with a relaxation model was investigated. In the limit of relaxation parameter tending towards zero, this model yields a specific Riemann solver. Relaxing and relaxed schemes were derived. For an incident shock in a fixed tube, numerical simulations show convergence toward the Riemann solution in one space dimension. Impact of parameters was studied theoretically and numerically. For certain initial shock profiles, nonclassical reflecting wave was observed. In two space dimensions, the effect of curved wave fronts was studied, and some interesting wave patterns were exposed.

Key words

phase transition shock relaxation 

Chinese Library Classification


2000 Mathematics Subject Classification



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Copyright information

© Editorial Committee of Appl. Math. Mech. 2007

Authors and Affiliations

  • Wang Ping  (王平)
    • 1
    Email author
  • Tang Shao-qiang  (唐少强)
    • 2
  1. 1.State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering MechanicsDalian University of TechnologyDalianP. R. China
  2. 2.LTCS, Department of Mechanics and Engineering SciencePeking UniversityBeijingP. R. China

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