Numerical simulations of Richtmyer-Meshkov instabilities using conservative fron

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Numerical simulations of Richtmyer-Meshkov instabilities using conservative front-tracking method水利论文 Z3V,QO?S0w

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Abstract: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.水利论文t9Nm T B,XR3lny

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T1tq2^9T*V0M.A.ULLAH[1] Wen-bin GAO[2] De-kang MAO[2]

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)jFM D)?Io]j0Department 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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:S9?w:Bn xK0APPLIED MATHEMATICS AND MECHANICS水利论文3B;\.E)AL

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Keywords:

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Richtmyer-Meshkov instability

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perturbation amplitude

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x7vkDpIF0Numerical investigation numerical simulations numerical results reflected wave growth rates agreement presents However two paper based Mao bit水利论文{;x)n1IM

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基金项目:水利论文RAqX,k\4ADRK/@

3`t+JE4H(ga0the National Natural Science Foundation of China,the Shanghai Pujiang Program

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