Numerical Study of Dynamic Phase Transitions in Shock Tube

WANG Ping; TANG Shao-qiang

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WANG Ping, TANG Shao-qiang. Numerical Study of Dynamic Phase Transitions in Shock Tube[J]. Applied Mathematics and Mechanics, 2007, 28(7): 824-832.

Citation:

WANG Ping, TANG Shao-qiang. Numerical Study of Dynamic Phase Transitions in Shock Tube[J]. Applied Mathematics and Mechanics, 2007, 28(7): 824-832.

Citation:

WANG Ping, TANG Shao-qiang. Numerical Study of Dynamic Phase Transitions in Shock Tube[J]. Applied Mathematics and Mechanics, 2007, 28(7): 824-832.

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Numerical Study of Dynamic Phase Transitions in Shock Tube

WANG Ping¹,
TANG Shao-qiang²

1.
State Key Laboratory of Structural Analysis for Industrial Equipment; Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P. R. China;

Received Date: 2006-11-20
Rev Recd Date: 2007-04-23
Publish Date: 2007-07-15

Abstract

Abstract

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.
- phase transition,
- shock,
- relaxation

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References(11)

References

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