The Lecture Notes in Physics Part 10 ppsx

... Lect. Notes Phys. 805, 189–192 (2 010) DOI 10. 1007/978-3-642-11587-5 c  Springer-Verlag Berlin Heidelberg 2 010 184 O. Bühler duality”, because the wavepacket acts and interacts with the remaining ... allow the wavepacket to dissipate, then the wavepacket on the left in Fig. 5.9 would simply turn into the dual vortex couple on the right in terms of the structural ch...

Ngày tải lên: 09/08/2014, 11:21

... vorticity, ζ, the streamlines are hyperbolic as shown in Fig. 2.8 and the continuous stretching along the unsta- ble manifold of the stagnation point of the flow induces instability. The instability Fig. ... Neglecting the torsion, the obtained flow is therefore similar to the one studied previously. Indeed, the normal to the osculating plane (so-called binormal) is prec...

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... version of these theorems was presented in Sect. 3.2.2. In the quasi-geostrophic framework, these theorems state that even in the presence of diabatic heating and frictional or other forces, there ... g∇ 2 h, 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...

Ngày tải lên: 09/08/2014, 11:21

... co-rotating reference frame The Lecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching – quickly and informally, ... have the fluid level in the inner cylinder lower than outside it (see Fig. 1.6): the ‘gravitational collapse’ that takes place after lifting the cylinder i...

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... reveal the turbulent region during the forcing by the spinning sphere and the more smooth density structure soon after the forcing is stopped. Vortices produced in this way (either with the spinning ... density perturbation introduced in case 1, with the resultant circulation sketched in (b). The resulting cir- culation arising in case 2, in which the centrifugal f...

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... 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 and lead 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...

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... 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 along the y-axis). They ... 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 domin...

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... ρ 2 h 2 ). (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 state h 1 = ... 121 4.3 Including Baroclinicity: 2-Layer 1.5d RSW 4.3.1 Plane-Parallel Case 4.3.1.1 Governing Equations and General Properties of the Model To introduce the baroclinic effects in...

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... 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...

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... Longuet– Higgins in [32, 33]. In this theory the flow is periodic in the alongshore direction and, most importantly, the incoming wave forms a slowly varying wavetrain with constant 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...

Ngày tải lên: 09/08/2014, 11:21