Equivalent Modons in Simple Shear

Swenson, Mark

doi:10.1175/1520-0469(1986)043<3177:emiss>2.0.co;2

Cited by 7 publications

(3 citation statements)

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“…The list of variations presented here is by no means complete, and the construction technique allows likely extension to weak shear (Swenson, 1986a), tropopause deformation (Rivest et.al. 1992), and possibly, beyond QG corrections (Muraki et.al.…”

Section: Discussionmentioning

confidence: 99%

Vortex Dipoles for Surface Quasigeostrophic Models

Muraki

Snyder

2007

J. Atmos. Sci.

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A new class of exact vortex dipole solutions is derived for surface quasigeostrophic (sQG) models. The solutions extend the two-dimensional barotropic modon to fully three-dimensional, continuously stratified flow and are a simple model of localized jets on the tropopause. In addition to the basic sQG dipole, dipole structures exist for a layer of uniform potential vorticity between two rigid boundaries and for a dipole in the presence of uniform background vertical shear and horizontal potential temperature gradient. In the former case, the solution approaches the barotropic Lamb dipole in the limit of a layer that is shallow relative to the Rossby depth based on the dipole’s radius. In the latter case, dipoles that are bounded in the far field must propagate counter to the phase speed of the linear edge waves associated with the surface temperature gradient.

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Section: Discussionmentioning

confidence: 99%

Vortex Dipoles for Surface Quasigeostrophic Models

Muraki

Snyder

2007

J. Atmos. Sci.

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“…So these localized modons do not admit quadrupoles as the non-localized modons in this paper. Quadrupoles can also be introduced by imposing a zonal background shear as in Swenson (1986). An outline of the method and results of the calculation are presented in Appendix B.…”

Section: An Interpretation Can Be Given Near D'=omentioning

confidence: 99%

“…This is a limitation of our assumption of a linear relationship between vorticity and streamfunction. Perturbative localized solutions with a decaying type outer region can be found for weak shear if a nonlinear relationship is assumed as in Swenson (1986). Exact non-localized solutions with a wavelike outer region, however, can exist with a linear relationship between vorticity and streamfunction.…”

Section: 3)mentioning

confidence: 99%

Quadrupole modons on a sphere

Neven¹

1992

Geophysical & Astrophysical Fluid Dynamics

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Quadrupole modon solutions of the barotropic vorticity equation on a sphere are presented. These modons can be made stationary in a westerly solid-body rotation. The sphere is divided into an inner and outer region separated by a boundary circle. There are constraints on the wavenumbers of the solutions in the inner and outer region and on the radius of the circle. Then a quadrupole and a monopole of arbitrary strength can coexist with a dipole, and tripoles can be constructed. These solutions are compared with earlier results for the beta plane and the sphere. Also an equivalent barotropic model with imposed zonal background shear is considered.

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Ekman Dissipation of a Barotropic Modon

Swaters

Flierl

1989

Mesoscale/Synoptic Coherent Structures in Geophysical Turbulence

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Equivalent Modons in Simple Shear

Cited by 7 publications

References 0 publications

Vortex Dipoles for Surface Quasigeostrophic Models

Vortex Dipoles for Surface Quasigeostrophic Models

Quadrupole modons on a sphere

Ekman Dissipation of a Barotropic Modon

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