A Hamiltonian formulation for long internal waves

PHYSICA D-NONLINEAR PHENOMENA

卷:195

Article

Lvov, Y ; Tabak, EG

关键词: Hamiltonian formulation;    Coriolis effect;    Kolmogorov solution;    internal waves;    spectral energy density of internal waves;    internal wave interactions;    wave kinetic equation;    wave turbulence;   

DOI  :  10.1016/j.physd.2004.03.010

来源: Elsevier

【 摘 要 】

A novel canonical Hamiltonian formalism is developed for long internal waves in a rotating environment. This includes the effects of background vorticity and shear on the waves. By restricting consideration to flows in hydrostatic balance, superimposed on a horizontally uniform background of vertical shear and vorticity, a particularly simple Hamiltonian structure arises, which can be thought of as describing a nonlinearly coupled infinite collection of shallow water systems. The kinetic equation describing the time evolution of the spectral energy of internal waves is subsequently derived. In the high-frequency limit, the Coriolis effects may be neglected, and a family of stationary Kolmogorov solutions can be found, which includes the Garrett-Munk spectrum of oceanic internal waves. (C) 2004 Elsevier B.V. All rights reserved.

【 授权许可】

Free