The difficulty of simulating a realistic Gulf Stream (GS) that separates from the coast at Cape Hatteras has troubled numerical ocean modelers for a long time, and the problem is evident in different models, from the early models of the 1980s to the modern models of today. The source of the problem is not completely understood yet, since GS simulations are sensitive to many different factors, s...

This thesis consists of three loosely related theoretical studies. In chapters 1 3 the physical mechanisms which determine the three dimensional structure of the currents in the Sverdrup interior of a wind-driven gyre are discussed. A variety of simple analytic models suggest that the subsurface geostrophic contours in a wind gyre are closed and so the flow in these regions is not determined by...

This study investigates the vertical structure of dynamical properties a warm-core ring in Gulf Mexico (Loop Current ring) using glider observations. We introduce new method to correct glider’s along-track coordinate, which is, general, biased by unsteady relative movements and eddy, yielding large errors on horizontal derivatives. Here, we take advantage synopticity satellite altimetry apply c...

1 low-vorticity waves in deep water 2 3 Anatoly Abrashkin 1 and Efim Pelinovsky 2,3 4 1 National Research University Higher School of Economics (HSE), 5 25/12 Bol'shaya Pecherskaya str., Nizhny Novgorod, 603155, Russia 6 2 Institute of Applied Physics RAS, 46 Ulyanov str., Nizhny Novgorod, 603950, Russia 7 3 Nizhny Novgorod State Technical University n.a. R. Alekseev, 24 Minin str., Nizhny 8 No...

In addition to the scalar Shakura-Sunyaev αss turbulent viscosity transport term used in simple analytic accretion disc modeling, a pseudoscalar transport term also arises. The essence of this term can be captured even in simple models for which vertical averaging is interpreted as integration over a half-thickness and one separately studies each hemisphere. The additional term highlights a com...

In addition to the scalar Shakura-Sunyaev αss turbulent viscosity transport term used in simple analytic accretion disc modeling, a pseudoscalar transport term also arises. The essence of this term can be captured even in simple models for which vertical averaging is interpreted as integration over a half-thickness and one separately studies each hemisphere. The additional term highlights a com...

In this note, equations for enstrophy and enstrophy advection are derived in terms of well-known quantities, assuming horizontal frictionless flow on a beta-plane. Specifically, enstrophy can be written in terms of the geopotential (or pressure), relative vorticity, zonal wind, and resultant deformation. Enstrophy advection is shown to be related to the time evolution of deformation and ageostr...

We consider the angle θ of inclination (with respect to the horizontal) of the profile of a steady 2D inviscid symmetric periodic or solitary water wave subject to gravity. Although θ may surpass 30◦ for some irrotational waves close to the extreme wave, Amick [Ami87] proved that for any irrotational wave the angle must be less than 31.15◦. Is the situation similar for periodic or solitary wave...

Consider inviscid ‡uids in a channel f 1 < y < 1g. For the Couette ‡ow ~v0 = (y; 0), the vertical velocity of solutions to the linearized Euler equation at ~v0 decays in time. At the nonlinear level, such inviscid damping is widely open. First, we show that in any (vorticity) H s < 3 2 neighborhood of Couette ‡ow, there exist non-parallel steady ‡ows with arbitrary minimal horizontal period. Th...