The Lecture Notes in Physics Part 1 doc

... Heidelberg 2 010 ), DOI 10 .10 07/978-3-642 -11 587-5 Lecture Notes in Physics ISSN 0075-8450 e-ISSN 16 16-63 61 ISBN 978-3-642 -11 586-8 e-ISBN 978-3-642 -11 587-5 DOI 10 .10 07/978-3-642 -11 587-5 Springer Heidelberg ... HowtoCreateVorticesintheLab 9 1. 1.3 The Ekman Layer . . 12 1. 1.4 Vortex Instability. . . 14 1. 1.5 EvolutionofStableBarotropicVortices 15 1. 1.6 Topo...

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... corresponding with the 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 ... in Rotating and Stratified Fluids 19 Fig. 1. 12 Vortex column in a spherical shell (ocean, atmosphere) covering a rotating sphere with f = 2 sin ϕ the Coriolis...

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... 246, 11 7 14 1 (19 93). 12 21. Meleshko, V.V., van Heijst, G.J.F.: On Chaplygin’s investigations of two-dimensional vortex structures in an inviscid fluid. J. Fluid Mech. 272, 15 7 18 2 (19 94). 17 22. ... vortices in a rotating fluid. Meccanica 29, 4 31 4 51 (19 94). 19 14 . van Heijst, G.J.F., Clercx, H.J.H.: Laboratory modeling of geophysical vortices. Annu. Rev. Fluid Mech. 41...

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... 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 of the ... 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 identifi...

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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 [10 0]). The problem of separating these two types of motions in numerical weather...

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... pp. 16 7 17 9 (19 89). 83, 84 13 9. Ripa, P.: General stability conditions for a multi-layer model, J. Fluid Mech., 222, 11 9 (19 91) . 83 14 0. Robinson, A.R.: Eddies in Marine Science. 1st edn. Springer ... baroclinic eddies, J. Phys. Oceanogr., 11 , 16 62 (19 81) . 83, 98 11 2. Nof, D.: On the migration of isolated eddies with application to Gulf Stream rings, J. Mar. Res., 41,...

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... flux: ∂π 1 ∂x =  h 1 ρ 1 + h 2 ρ 2  1  f (h 1 v 1 + h 2 v 2 ) − ∂ ∂x  h 1 u 2 1 + h 2 u 2 2  − gh 2 ρ 2 ∂ ∂x ( ρ 1 h 1 + ρ 2 h 2 )  , (4.64) ∂π 2 ∂x =  h 1 ρ 1 + h 2 ρ 2  1  f (h 1 v 1 + h 2 v 2 ) − ∂ ∂x  h 1 u 2 1 + ... notation α 1 = H 1 H ,α 2 = H 2 H ,α 1 + α 2 = 1 we have in non-dimensional form: ¨ φ + φ α 1 + φ  1 + φ  +  α 1...

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... be found in [15 , 11 ] and in the forthcoming book [13 ]. The effort to understand these elements of GLM theory is not very great and they provide very useful reference points for the inter- action ... San Diego (19 92). 11 0, 13 5 12 . Hoskins, B.J., Bretherton, F.P.: Atmospheric frontogenesis models: mathematical formulation and solution. J. Atmos. Sci. 29, 11 –37 (19 72). 1...

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... of the time-integrated mean flow forcing and therefore to a net 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 ... [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 indeed...

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... 19 2 Index Vorticity diffusion, 24 generation, 15 7, 15 9 W Wave breaking, 11 5, 15 7, 16 5 capture, 14 2, 17 9 dissipation, 14 1, 15 9, 16 3, 16 4 drag, 14 1, 15 7 driven currents, 16 8 glueing, 14 2 refraction, ... (2003). 14 2, 17 1, 17 3, 17 4, 17 6 17 . Bühler, O., McIntyre, M.E.: Wave capture and wave–vortex duality. J. Fluid Mech. 534, 67–95 (2005). 14 1, 14 2,...

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