J.-C. Gauthier, et al.
J. Phys. IV France 133 (2006) 171-173
Vortex sheet model for Rayleigh-Taylor and Richtmyer-Meshkov instabilitiesC. Matsuoka1 and K. Nishihara2
1 Department of Physics, Ehime University, 2-5 Bunkyocho, Matsuyama, Ehime, Japan
2 Institute of Laser Engineering, Osaka University, 2-6 Yamada-oka, Suita, Osaka, Japan
We study temporal evolution of interfaces in two-dimensional Rayleigh-Taylor and incompressible Richtmyer-Meshkov instabilities numerically. An interface is treated as a vortex sheet and the vortex method is used in order to describe motion of the vortex sheet. Successive profiles of an interface and the temporal evolution of the strength of a vortex sheet are presented and, especially, the evolution of the strength of a vortex core at which the strength of a sheet takes its maximum value is discussed. Motion of vortex cores are investigated for different Atwood numbers and it is shown that loci of vortex cores in lower Atwood numbers are chaotic, while loci in higher Atwood numbers are monotonous for both Rayleigh-Taylor and Richtmyer-Meshkov instabilities.
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