| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Direct Numerical Simulation of the Rayleigh-Taylor Instability with the Spectral Element Method |
| ZHANG Xu, TAN Duo-Wang |
| National Key Laboratory of Shock Wave and Detonation Physics, China Academy of Engineering Physics, Manyang 621900 |
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| Cite this article: |
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ZHANG Xu, TAN Duo-Wang 2009 Chin. Phys. Lett. 26 084703 |
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Abstract A novel method is proposed to simulate Rayleigh-Taylor instabilities using a specially-developed unsteady three-dimensional high-order spectral element method code. The numerical model used consists of Navier-Stokes equations and a transport-diffusive equation. The code is first validated with the results of linear stability perturbation theory. Then several characteristics of the Rayleigh-Taylor instabilities are studied using this three-dimensional unsteady code, including instantaneous turbulent structures and statistical turbulent mixing heights under different initial wave numbers. These results indicate that turbulent structures of Rayleigh-Taylor instabilities are strongly dependent on the initial conditions. The results also suggest that a high-order numerical method should provide the capability of simulating small scale fluctuations of Rayleigh-Taylor instabilities of turbulent flows.
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| Keywords:
47.11.Kb
47.20.Ma
47.27.Er
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Received: 02 April 2009
Published: 30 July 2009
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| PACS: |
47.11.Kb
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(Spectral methods)
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47.20.Ma
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(Interfacial instabilities (e.g., Rayleigh-Taylor))
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47.27.er
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(Spectral methods)
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[4] Plug H P and Juttner H U 1995 J. Geodynam. 20267
[5] Bellman R and Pennigton R H 1954 Quart. Appl. Math. 12 151 |
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