Numerical simulations of Richtmyer-Meshkov instabilities using conservative front-tracking method

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.

Simulations of Fluid Interfaces Using Conservative Fronttracking Method for 2d Euler System

“…More important, it is conservative. The method has already been successfully implemented on various numerical experiments and shows its efficiency and effectiveness in 1D and 2D cases, see (Mao Dekang, 2000;Mao De-kang, 2007;Ullah M.A., 2011;Ullah M.A., Wenbin G & Mao De-kang, 2011;Ullah M.A. et al, 2010).…”

Evolution of Hydrodynamic Instability on Planar Jelly Interface Driven by Explosion

“…It allows us to examine the data in detail far beyond the capability of experiments. Many new numerical results have been reported [23][24][25][26][27][28]. In this paper, the hydrodynamic instability on planar jelly interface driven by explosion is studied by experiments and numerical simulations using the high precision nu-merical algorithm MVPPM, which is developed by combining the volume of fluid (VOF) methodology and piecewise parabolic method (PPM).…”