The Lecture Notes in Physics Part 5 ppsx
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 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 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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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, ... DOI 10.1007/978-3-642-1 158 7 -5 Lecture Notes in Physics ISSN 00 75- 8 450 e-ISSN 1616-6361 ISBN 978-3-642-1 158 6-8 e-ISBN 978-3-642-1 158 7 -5 DOI 10.1...
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The Lecture Notes in Physics Part 2 pps
... 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 force is initially not in balance with the radial density ... 1. 15 clearly reveal the turbulent region during the forcing by the spinning sphere and the more smooth density structure soon after the forc...
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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 6 ppt
... J.: The use of the primitive equations of motion in numerical prediction, Tellus, 7, 22 (1 955 ). 85 31. Charney, J.G., Stern, M.E.: On the stability of internal baroclinic jets in a rotating atmo- sphere, ... 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 do...
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The Lecture Notes in Physics Part 7 pot
... simplification of the rigid-lid 2-layer equations follows from the fact the pressures π i may be eliminated from (4 .56 a), (4 .56 b) and (4 .56 c). Indeed by using (4 .58 ) and (4 .56 e) and (4 .56 d) we get, again under ... 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...
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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 ... indices. The integration domain is now a mean material loop and therefore we can average (5. 14) by simply averaging the factors multiply- ing the mean line element dx....
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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 ... lasting change in the mean flow. It is also clear that the net residual forcing points in the direction of p. So there is no intrinsic link between wave diss...
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