Direct Numerical Simulation of the Rayleigh-Taylor Instability with the Spectral Element Method |
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| Authors: | ZHANG Xu TAN Duo-Wang |
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| Affiliation: | National Key Laboratory of Shock Wave and Detonation Physics, China Academy of Engineering Physics, Manyang 621900 |
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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')" >47.11.Kb 47.20.Ma ')" > 47.27.Er |
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