Numerical simulations of Richtmyer-Meshkov instabilities using conservative fron

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BtXU6]z0Numerical simulations of Richtmyer-Meshkov instabilities using conservative front-tracking method

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rg\ Gnc p/N?0Abstract:This paper presents the numerical simulations of two Richtmyer-Meshkov (RM) instability experiments using the conservative front-tracking method developed in (Mao, D. Towards front-tracking based on conservation in two space dimensions Ⅱ,tracking discontinuities in capturing fashion. J. Comput. Phys., 226, 1550-1588 (2007)).The numerical results are compared with those obtained in (Holmes, R. L., Grove, J.W., and Sharp, D. H. Numerical investigation of Richtmyer-Meshkov instability using front-tracking. J. Fluid Mech., 301, 51-64 (1995)). The present simulations are generally in good agreement with those obtained by Holmes et al., and also capture the nonlinear and compessive phenomenon, i.e., the self-interactions of the transmitted and reflected wave edges, which was pointed out by Holmes et al. as the cause of the deceleration of the interfaces. However, the perturbation amplitudes and the amplitude growth rates of the interfaces obtained with the present conservative front-tracking method are a bit larger than those obtained by Holmes et al.

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Author:

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M.A.ULLAH[1] Wen-bin GAO[2] De-kang MAO[2]

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I6T0r d)u6B0Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R.China;Department of Mathematics, University of Chittagong, Chittagong 4331, BangladeshDepartment of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R.China

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H"Z0{q [4M(f*OY0Richtmyer-Meshkov instability

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conservative front-tracking

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amplitude growth rate

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Numerical investigation numerical simulations numerical results reflected wave growth rates agreement presents However two paper based Mao bit

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the National Natural Science Foundation of China,the Shanghai Pujiang Program

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