用守恒型间断跟踪法数值模拟Richtmyer-Meshkov不稳定现象

Numerical Simulations of Richtmyer-Meshkov Instability Using Conservative Front-Tracking Method

使用茅德康所建立的守恒型间断跟踪法[Mao D.J Comput Phys,2007,226(2):1550-1588],数值模拟了两个关于Richtmyer-Meshkov不稳定性现象的物理实验,并且将数值模拟结果与Holmes等人在文[Holmes R L,Grove J W,Sharp D H.J Fluid Mech,1995,301:51-64]中所获得的结果进行了比较.该文的结果与Holmes等人所得到的结果在总体上有较好的一致性.该文的数值模拟也捕捉到了非线性的压缩现象,即穿越波和反射波相互作用所产生的现象,Holmes等人指出其是导致介质界面减速的原因.但是所得到的扰动振幅和扰动增长率比Holmes等人所得到的结果略大一些.

Numerical simulations of two Richtmyer-Meshkov（ RM） instability experiments were presented using the conservative front tracking method developed in [Mao D. J Comput Phys,2007,226 （ 2） ： 1550-1588],and compare them with that obtained in [Holmes R L,et al. J Fluid Mech,1995,301： 51-64]. The simulations are generally in good agreement with that of Holmes et al. The simulations also captured the nonlinear and compressive phenomena,the self-interactions of the transmitted and reflected wave edges,which was pointed out in Holmes et al’s work as the cause of the deceleration of the interfaces. However,the perturbation amplitudes and amplitude growth rates of the interfaces obtained with our conservative front-tracking method are a bit larger than that obtained by Holmes et al.