Green’s Function of Internal Waves in Uniformly Stratified Fluid

Journal of Shanghai Jiaotong University ›› 2016, Vol. 50 ›› Issue (02): 265-271.

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Green’s Function of Internal Waves in Uniformly Stratified Fluid

ZHU Renchuan1,GAO Yang1,MIAO Guoping1,YAO Zhichong2

(1. State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and DeepSea Exploration (CISSE), Shanghai Jiaotong University, Shanghai 200240, China； 2. China Ship Scientific Research Center, China Shipbuilding Industry Corporation, Wuxi 214082, Jiangsu, China)

Received:2014-12-25 Online:2016-02-29 Published:2016-02-29

Abstract

CLC Number:

U 661.3

ZHU Renchuan1,GAO Yang1,MIAO Guoping1,YAO Zhichong2. Green’s Function of Internal Waves in Uniformly Stratified Fluid[J]. Journal of Shanghai Jiaotong University, 2016, 50(02): 265-271.

［1］MOWBRAY D E, RARITY B S H. A theoretical and experimental investigation of the phase configuration of internal waves of small amplitude in a density stratified liquid［J］. Journal of Fluid Mechanics, 1967, 28(1):116. ［2］HURLEY D G. The emission of internal waves by vibrating cylinders［J］. Journal of Fluid Mechanics, 1969, 36(4): 657672. ［3］HENDERSHOTT M C. Impulsively started oscillations in a rotating stratified fluid［J］. Journal of Fluid Mechanics, 1969, 36: 513527. ［4］APPLEBY J C, CRIGHTON D G. NonBoussinesq effects in the diffraction of internal waves from an oscillating cylinder［J］. The Quarterly Journal of Mechanics and Applied Mathematics, 1986, 39(2): 209231. ［5］APPLEBY J C, CRIGHTON D G. Internal gravity waves generated by oscillations of a sphere［J］. Journal of Fluid Mechanics, 1987, 183(1): 439450. ［6］LIGHTHILL J. Waves in fluids［M］. Cambridge: Cambridge University Press, 1978. ［7］VOISIN B. Internal wave generation in uniformly stratified fluids. Part 1. Green’s function and point sources［J］. Journal of Fluid Mechanics, 1991, 231: 439480. ［8］MILES J W. Internal waves generated by a horizontally moving source［J］. Geophysical and Astrophysical Fluid Dynamics, 1971, 2(1): 6387. ［9］KELLER J B, MUNK W H. Internal wave wakes of a body moving in a stratified fluid［J］. Physics of Fluids, 1970, 13(6): 14251431. ［10］TULIN M, MILOH T. Ship internal waves in a shallow thermocline: the supersonic case［C］∥ Proceedings of the 18th Symposium on Naval Hydrodynamics. Ann Arbor, USA: Office of Naval Research, 1991. ［11］SHARMAN R D, WURTELE M G. Ship and lee waves［J］. Journal of the Atmospheric Sciences, 1983,40:396427. ［12］TULIN M P, YAO Y T, WANG P. The generation and propagation of ship internal waves in a generally stratified ocean at high dens metric Froude numbers［J］. Journal of Ship Research, 2000,44(3): 197227. ［13］GILREATH H E, BRANDT A. Experiments on the generation of internal waves in a stratified fluid［J］. AIAA Journal, 1985, 23(5): 693700. ［14］CHOMAZ J M, HOPFINGER E J. Vertical diffusion of the far wake of a sphere moving in a stratified fluid［J］. Phys Fluids,1993, A5(11): 27992805. ［15］张军, 张效慈, 赵峰, 等. 源于水动力学的潜艇尾迹非声探测技术研究之进展［J］. 船舶力学, 2003, 7(2): 121128. ZHANG Jun, ZHANG Xiaoci, ZHAO Feng, et al. Progress of investigation on nonacoustic detection for submarine wake originated from naval hydrodynamics［J］. Journal of Ship Mechanics, 2003, 7(2): 121128.

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