The Lecture Notes in Physics Part 6 ppt

... 68 ◦W: Part II. Eddy forcingon the time-mean flow, J. Phys. Oceanogr., 26, 2132 (19 96) . 68 39. Cronin, M., Watts, R.D.: Eddy-mean flow interaction in the Gulf stream at 68 ◦W: Part I.Eddy energetics, ... describe the first stage of the beta-drift in which the in uence of the far-field of the Rossby wave wake is not important. In the ocean,his effect becomes dominant after a few weeks. This wake drains ... RSW In order to fully exploit the existence of a pair of Lagrangian invariants in the model,it is natural to introduce the Lagrangian coordinates X(x, t) of the fluid “parcels” (in fact, fluid lines...

The Lecture Notes in Physics Part 9 pptx

... Longuet–Higgins in [32, 33]. In this theory the flow is periodic in the alongshore directionand, most importantly, the incoming wave forms a slowly varying wavetrain withconstant amplitude in the alongshore ... [8].Crucially, the Bretherton flow points backward, i.e. in the negative x-direction, at the vortex location above the wavetrain. Therefore the Bretherton flow does indeedpush the vortex to the left ... lasting change in the mean flow. It is also clear that the net residualforcing points in the direction of p.So there is no intrinsic link between wave dissipation and mean flow forcing butthere...

The Lecture Notes in Physics Part 1 doc

... co-rotating reference frame The Lecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1 969 , reports new developments in physics research and teaching – quickly and informally, ... 2010), DOI 10.1007/978-3 -64 2-11587-5 Lecture Notes in Physics ISSN 0075-8450 e-ISSN 161 6 -63 61ISBN 978-3 -64 2-115 86- 8 e-ISBN 978-3 -64 2-11587-5DOI 10.1007/978-3 -64 2-11587-5Springer Heidelberg Dordrecht ... have the ﬂuid level in the innercylinder lower than outside it (see Fig. 1 .6) : the ‘gravitational collapse’ that takesplace after lifting the cylinder implies a radial inward motion of the ﬂuid,...

The Lecture Notes in Physics Part 2 pps

... reveal the turbulent region during the forcing by the spinning sphere and the more smoothdensity structure soon after the forcing is stopped. Vortices produced in this way(either with the spinning ... densityperturbation introduced in case 1, with the resultant circulation sketched in (b). The resulting cir-culation arising in case 2, in which the centrifugal force is initially not in balance with the radialdensity ... for the linear andfor the nonlinear terms. When the nonlinear term is included, the difference in decayrates of cyclonic and anticyclonic vortices becomes clearly visible in the increasingasymmetry...

The Lecture Notes in Physics Part 3 ppsx

... Lamb–Oseen vortex. In the frame rotating with the vortex core, the strain field rotates at the angularspeed −ζ/2 and since the elliptic deformation is a mode m = 2, the fluid in the coreof the vortex ... Neglecting the torsion, the obtained flow is therefore similar to the one studied previously. Indeed, the normalto the osculating plane (so-called binormal) is precessing with respect to the z-axiswith ... Fig. 2.8 and the continuous stretching along the unsta-ble manifold of the stagnation point of the flow induces instability. The instabilityFig. 2.8 Flow around an hyperbolic fixed point50 J M....

The Lecture Notes in Physics Part 4 potx

... resulting in the formation of so-called rings or synoptic eddies. These rings, and in particular the warm-core rings which are surface intensified, have long since been identified in the vicinity ... of these rings andlead to their splitting into two or three parts [3].3 Oceanic Vortices 69 flow exiting in the South Indian Ocean forms Teddies (throughflow eddies) and the Loop Current in the ... instance, in the thermocline)and thus their identification and study have been more recent.3.1.1.1 Large Rings In general, wind-induced currents are intensified at the western boundaries ofthe...

The Lecture Notes in Physics Part 5 ppsx

... version of these theorems was presented in Sect. 3.2.2. In the quasi-geostrophic framework, these theorems state that even in the presenceof diabatic heating and frictional or other forces, there ... g∇2h,which is the gradient wind balance presented above (further details are available in [100]). The problem of separating these two types of motions in numerical weather pre-dictions, and in particular ... Cjis the boundary of Sj(see [64 , 65 , 109]). Thus, the potential vorticitycontents in layer j vary when forcing or dissipation is applied at the boundary of the layer. The equation for the potential...

The Lecture Notes in Physics Part 7 pot

... g(ρ1h1+ ρ2h2). (4 .60 ) The fast motions in the linear approximation are internal inertia-gravity waves prop-agating along the interface between the layers. By linearizing about the rest stateh1= ... simpliﬁcation of the rigid-lid 2-layer equations follows from the fact the pressures πimay be eliminated from (4.56a), (4.56b) and (4.56c). Indeed byusing (4.58) and (4.56e) and (4.56d) we get, again under ... 1214.3 Including Baroclinicity: 2-Layer 1.5d RSW4.3.1 Plane-Parallel Case4.3.1.1 Governing Equations and General Properties of the ModelTo introduce the baroclinic effects in the dynamics in the...

The Lecture Notes in Physics Part 8 pps

... rewriting the contour integral in (5.9) in terms of C, which mathemati-cally amounts to a variable substitution in the integrand. The only non-trivial step is the transformation of the line element ... consists of zonal averaging,which is the typical setup in atmospheric wave–mean interaction theory. In this peri-odic case a material line traversing the domain in the zonal x-direction qualiﬁes ... to right in the xz-planeand assume that the wave is steepening and overturning, say because the water depthis decreasing in x as it would be in the approach to a beach. The water–air interfaceforms...

The Lecture Notes in Physics Part 10 ppsx

... number, 76 RingsAgulhas, 64 , 65 characteristics, 68 Gulf Stream, 62 , 64 Kuroshio, 62 , 68 , 71large rings, 62 from meandering jets, 62 merging, 71modeling, 84propagation, 71warm/cold-core, 62 Rip ... increases the pseudomomentumof the wavepacket, because it compresses the wavepacket in the x-direction whilststretching it in the y-direction. At the same time, the Bretherton ﬂow induced by the ... For instance, Coriolis forces were neglected throughout, but they can beincorporated both in GLM theory and in the other theoretical developments; this hasbeen done in the quoted references.The...

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