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Large-eddy-simulation of 3-dimensional Rayleigh-Taylor instability in incompressible fluids

         

摘要

[1]Sharp, D. H., An overview of Rayleigh-Taylor instability, Physica D, 1984, 12: 3-18.[2]Baker, G. R., Meiron, D. I., Orszag, S. A., Vortex simulation of the Rayleigh-Taylor instability, Phys. Fluids, 1980, 23: 1485-1490.[3]Tryggvason, G., Numerical simulations of the Rayleigh-Taylor instability, J. Comput. Phys., 1988, 75: 253-282.[4]Mulder, W., Osher, S., Sethian, J., Computing interface motion in compressible gas dynamics, J. Comput. Phys., 1992, 100: 209-228.[5]Osher, S., Sethian, J., Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Compput. Phys., 1988, 79(1): 12-49.[6]Li, X. L., Study of three-dimensional Rayleigh-Taylor instability in compressible fluids through level set method and parallel computation, Phys. Fluids, 1993, A(5): 1904-1913.[7]Holmes, R. L, Grove, J. W., Sharp, D. H., Numerical investigation of Richtmyer-Meshkov instability using front tracking, J. Fluid Mech., 1995, 301: 51-64.[8]Gardner, C., Glimm, J., McBryan, O. et al., The dynamics of bubble growth for Rayleigh-Taylor unstable interfaces, Phys. Fluids, 1988, 31: 447-465.[9]He Xiaoyi, Chen Shiyi, Zhang Raoyang, A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability, J. Comput Phys., 1999, 152: 642-663.[10]Li, X. L., Jin, B. X., Glimm, J., Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation, J. Comput. Phys., 1996, 126: 343-355.[11]Taylor, G. I., The stability of liquid surface when accelerated in a direction perpendicular to their planes, I, Proc. Roy. Soc., London, 1950, A201: 192-196.[12]Abarzhi, S. I., Stable steady flow in the Rayleigh-Taylor instability, Phs. Rev. Lett., 1998, 81: 337-340.[13]Zhang, Q., The motion of single-mode Rayleigh-Taylor unstable interfaces, IMPACT Comput. Sci. Eng., 1991, 3: 277-389.[14]Deardorff. J. W., Stratocumulus-capped mixed layers derived from a three-dimensional model, Boundary Layer Meteorology, 18: 295-527.[15]Read, K. I., Experimental investigation of turbulent mixing by Rayleigh-Taylor instability, Physica D, 1984, 12: 45-58.[16]Youngs, D. L., Numerical simulation of turbulent mixing by Rayleigh-Taylor instability, Physica D, 1984, 12: 32-44.[17]Youngs, D. L., Modeling turbulent mixing by Rayleigh-Taylor instability, Physica D, 1989, 37: 270-287.[18]Moeng, G. H., A large eddy simulation model for the study of planetary boundary layer turbulence, J. Atmos. Sci., 1984, 41(13): 2052-2062.[19]Lesieur, M., Metais, Q., New trends in large-eddy simulations of turbulence, Annu. Rev. Fluid Mech., 1996, 28: 45-82.[20]Metais, Q., Lesieur, M., Spectral large-eddy simulations of isotropic and stably-stratified turbulence, J. Fluid Mech., 1992, 239: 157-194.

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