On the Second Harmonic Generation through Bell–Plesset Effects in Cylindrical Geometry
GUO Hong-Yu1, YU Xiao-Jin2, WANG Li-Feng2,3, YE Wen-Hua2,3,4, WU Jun-Feng2**, LI Ying-Jun1**
1State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083 2Institute of Applied Physics and Computational Mathematics, Beijing 100094 3HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871 4Department of Physics, Zhejiang University, Hangzhou 310027
Abstract：Generation of the second harmonic initiated by Bell–Plesset effects in a cylindrical geometry is studied analytically. For an initial single-mode velocity perturbation, the second-order mode-coupling formula is obtained by expanding the perturbation displacement and velocity potential up to the second-order accuracy. It is found that the initially symmetric interface evolves into a significant bubble-spike asymmetric pattern. The second-order solutions clearly show that the amplitude of the spike grows faster than that of the bubble. The temporal evolutions of the amplitudes of the bubble and spike are dependent on the interface velocity V0. The larger interface velocity leads to the smaller amplitude of the perturbation at an arbitrary interface position in a cylindrically convergent geometry.
(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
引用本文:
. [J]. 中国物理快报, 2014, 31(04): 44702-044702.
GUO Hong-Yu, YU Xiao-Jin, WANG Li-Feng, YE Wen-Hua, WU Jun-Feng, LI Ying-Jun. On the Second Harmonic Generation through Bell–Plesset Effects in Cylindrical Geometry. Chin. Phys. Lett., 2014, 31(04): 44702-044702.
2014, Vol. 31 
