NDLI: Numerical simulation of Richtmyer-Meshkov instability

Content Provider	Springer Nature Link
Author	Fu, Dexun Ma, Yanwen Zhang, Linbo Tian, Baolin
Copyright Year	2004
Abstract	The compressible Navier-Stokes equations discretized with a fourth order accurate compact finite difference scheme with group velocity control are used to simulate the Richtmyer-Meshkov (R-M) instability problem produced by cylindrical shock-cylindrical material interface with shock Mach number Ms=1.2 and density ratio 1:20 (interior density/outer density). Effect of shock refraction, reflection, interaction of the reflected shock with the material interface, and effect of initial perturbation modes on R-M instability are investigated numerically. It is noted that the shock refraction is a main physical mechanism of the initial phase changing of the material surface. The multiple interactions of the reflected shock from the origin with the interface and the R-M instability near the material interface are the reason for formation of the spike-bubble structures. Different viscosities lead to different spike-bubble structure characteristics. The vortex pairing phenomenon is found in the initial double mode simulation. The mode interaction is the main factor of small structures production near the interface.
Starting Page	234
Ending Page	244
Page Count	11
File Format	PDF
ISSN	10069283
Journal	Science in China Series A: Mathematics
Volume Number	47
Issue Number	1
e-ISSN	18622763
Language	English
Publisher	Science in China Press
Publisher Date	2004-01-01
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	R-M instability direct numerical simulation shock-interface interaction Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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