The Lecture Notes in Physics Part 3 ppsx

... 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 precessing with respect to the z-axis with ... Fig. 2.8 and the continuous stretching along the unsta- ble manifold of the stagnation point of the flow induces instability. The instability Fig. 2.8 Flow around an h...

Ngày tải lên: 09/08/2014, 11:21

... 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...

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... increases the pseudomomentum of the wavepacket, because it compresses the wavepacket in the x-direction whilst stretching 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 be incorporated both in GLM theory and in the other theoretical developments; this has been done...

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, ... State in the Unbounded Domain . . 130 4.4 .3 Trapped Modes and Symmetric Instability in Continuously StratifiedCase 133 4.5 Conclusions . . 136 References...

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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 ... stratification within the confining cylinder, with a relatively sharp interface between the upper and the lower layers. During the subsequent evolution of the vortex afte...

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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 Lo...

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... shrinks with time, while the trailing front extends behind the vortex. The interaction of these vortex sheets with the vortex still needs mathematical modeling. 3. 3.5 Interaction Between a Vortex ... found in Reznik and Zeitlin [19]. In rotating stratified fluids the geostrophic balance (the “geostrophic wind” rela- tion) is to be combined with the hydrostatic balance giving...

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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 = ... Plane-Parallel Case 4 .3. 1.1 Governing Equations and General Properties of the Model To introduce the baroclinic effects in the dynamics in the simplest way we consider th...

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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 ... the intrinsic frequency ˆω = ω − U · k. It is the intrinsic frequency that is relevant for the local fluid dynamics relative to the basic flow. In ray tracing only a si...

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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 Brether...

Ngày tải lên: 09/08/2014, 11:21