The Lecture Notes in Physics Part 7 pot
The Lecture Notes in Physics Part 7 pot
... 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 = ... of , the depth of the potential is always the same, but its width depends on the vertical wavenumber n: the smaller the vertical scale of the waves, the wider the pot...
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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 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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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 1969, reports new developments in physics research and teaching – quickly and informally, ... 2010), DOI 10.10 07/ 978 -3-642-115 87- 5 Lecture Notes in Physics ISSN 0 075 -8450 e-ISSN 1616-6361 ISBN 978 -3-642-11586-8 e-ISBN 978 -3-642-115 87- 5 DOI...
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The Lecture Notes in Physics Part 2 pps
... 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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The Lecture Notes in Physics Part 3 ppsx
... 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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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 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 p...
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The Lecture Notes in Physics Part 6 ppt
... around and behind the vortex: the gradient circling around the vortex forms a trapped zone which shrinks with time, while the trailing front extends behind the vortex. The interaction of these vortex sheets ... T.W.: Frontal instabilities of baroclinic ocean currents, with applications to the gulf stream, J. Phys. Oceanogr., 17, 79 2 (19 87) . 76 27. Chapman, R., Nof, D.: T...
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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...
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The Lecture Notes in Physics Part 9 pptx
... 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...
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The Lecture Notes in Physics Part 10 ppsx
... 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...
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