Numerical investigation of Richtmyer–Meshkov instability using front tracking

Author:

Holmes Richard L.,Grove John W.,Sharp David H.

Abstract

Front tracking simulations of the Richtmyer-Meshkov instability produce significantly better agreement with experimentally measured growth rates than obtained in nontracking computations. Careful analysis of the early stages of the shock acceleration process show that nonlinearity and compressibility play a critical role in the behaviour of the shocked interface and are responsible for the deviations from the linear theories. The late-time behaviour of the interface growth rate is compared to a nonlinear potential flow model of Hecht et al.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference18 articles.

1. Sturtevant, B. 1988 Rayleigh-Taylor instability in compressible fluids. In Proc 16th Intl Symp on Shock Tubes and Shock Waves, Aachen W. Germany July 26–32, 1987 (ed.) H. Gronig .VCH.

2. Meshkov, E. E. 1970 Instability of a shock wave accelerated interface between two gases.NASA Tech. Trans. F-13,074.

3. Benjamin, R. 1992 Experimental observations of shock stability and shock induced turbulence. Advances in Compressible Turbulent Mixing ed. W. Dannevik, A. Buckingham & C. Leith, pp.341–348. National Technical Information Service, US Department of Commerce 5285 Port Royal Rd. Springfield VA 22161.

4. Meyer, K. A. & Blewett, P. J. 1972 Numerical investigation of the stability of a shock-accelerated interface between two fluids.Phys. Fluids 15,753–759.

5. Dannevik, W., Buckingham, A. & Leith, C. (eds.)1992 Advances in Compressible Turbulent Mixing . National Technical Information Service, US Department of Commerce 5285 Port Royal Rd. Springfield VA 22161.

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