Large eddy simulation of converging Richtmyer–Meshkov instability based on subgrid-scale dissipation similar method

Hao Zhou (), Qijing Feng (), Pengcheng Hao, Zhiwei He and Li Li
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Hao Zhou: Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China
Qijing Feng: Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China
Pengcheng Hao: Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China
Zhiwei He: Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China
Li Li: Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China

International Journal of Theoretical and Applied Finance (IJTAF), 2022, vol. 33, issue 01, 1-22

Abstract: This paper focuses on large eddy simulation of the Richtmyer–Meshkov instability (RMI) in spherical and cylindrical converging geometries with a Mach number Ma=1.5 based on subgrid-scale (SGS) dissipation similar method (SDSM). Based on the converging RMI problem, we obtain from a priori test and theoretical analysis that the suggested method can provide accurate structural correlation while ensuring the computational stability. Comparing the numerical simulation results with direct numerical simulation (DNS) and existing model in converging RMI problem, we could find that the suggested method overcomes some defects of the existing model, such as the Smagorinsky model cannot predict transition accurately and the helicity model can only predicts the quasi-two-dimensional flow precisely. It provides a beneficial tool for the research of converging RMI.

Keywords: Richtmyer–Meshkov instability; spherical converging; cylindrical converging; large eddy simulation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122500048

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