Numerical Study of Dynamic Phase Transitions in Shock Tube
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摘要: 用松弛模型研究了范德瓦流体中的激波管问题．当松弛参数趋于0时模型存在一个确定的黎曼解．在数值方面推导了松弛格式（relaxing）和完全松弛格式（relaxed）．在一维问题中，对于不同的剖面，数值模拟显示结果趋向于黎曼解，在理论上和数值上研究了参数的影响．对于特定的初始激波剖面，观察到了非经典的反射波．在二维问题中，研究了曲面波前的数值演化，得到一些有趣的波斑图．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.
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Key words:
- phase transition /
- shock /
- relaxation
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