Nonlinear waves in marginally stable flows of Antarctic Bottom Water

[摘要] In this paper, we study internal waves and stratified flows in the Romanche Fracture Zone of the Mid Atlantic Ridge. Theoretical analysis involves mathematical formulation of stratified flows which uses LADCP- and CTD-data obtained from field observation in the cruises of RV Akademik Sergey Vavilov. We discuss the 2.5-layer model of the fluid with exponential stratification of both layers. The long-wave approximate model describing travelling waves is constructed by means of scaling procedure with a small Boussinesq parameter. It is demonstrated that solitary wave regimes can be affected by the Kelvin - Helmholtz instability arising due to interfacial velocity shear in upstream flow.

[发布机构] Lavrentyev Institute of Hydrodynamics, Lavrentyev pr. 15, Novosibirsk; 630090, Russia^1;Novosibirsk State University, Pirogova st. 2, Novosibirsk; 630090, Russia^2;Shirshov Institute of Oceanology, Nakhimovski pr. 36, Moscow; 117997, Russia^3;Aix-Marseille University, Marseille; 06, France^4

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Antarctic Bottom Water;Boussinesq parameter;Exponential stratification;Field observations;Interfacial velocities;Kelvin- helmholtz instabilities;Mathematical formulation;Scaling procedures