A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow

Andrew J. Majda; Esteban G. Tabak

doi:10.1016/0167-2789(96)00114-5

A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow

Research output: Contribution to journal › Article › peer-review

Abstract

A simple two-dimensional model for quasigeostrophic flow is contrasted with the two-dimensional incompressible Euler equations. The model arises under the assumptions of fast rotation, uniform stratification and uniform potential vorticity. It is found that the more local feed-back of the quasigeostrophic model gives rise to strongly nonlinear front formation, as opposed to two-dimensional Euler, where the steepening process of mature fronts obeys a nonlocal, nearly linear mechanism.

Original language	English (US)
Pages (from-to)	515-522
Number of pages	8
Journal	Physica D: Nonlinear Phenomena
Volume	98
Issue number	2-4
DOIs	https://doi.org/10.1016/0167-2789(96)00114-5
State	Published - 1996

Keywords

Euler equations
Frontogenesis
Geostrophic balance
Singular behavior
Vortex stretching

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(96)00114-5

Cite this

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title = "A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow",

abstract = "A simple two-dimensional model for quasigeostrophic flow is contrasted with the two-dimensional incompressible Euler equations. The model arises under the assumptions of fast rotation, uniform stratification and uniform potential vorticity. It is found that the more local feed-back of the quasigeostrophic model gives rise to strongly nonlinear front formation, as opposed to two-dimensional Euler, where the steepening process of mature fronts obeys a nonlocal, nearly linear mechanism.",

keywords = "Euler equations, Frontogenesis, Geostrophic balance, Singular behavior, Vortex stretching",

author = "Majda, {Andrew J.} and Tabak, {Esteban G.}",

note = "Funding Information: A.J. Majda was partially supported by grants NSF DMS-99301094, ARO DAAL03-92-G-0010, ONR N00014-89-J-1044.P00003 and DARPA N00014-92-J-1796; E.G. Tabak was partially supported by grant NSF DMS-9501073.",

year = "1996",

doi = "10.1016/0167-2789(96)00114-5",

language = "English (US)",

volume = "98",

pages = "515--522",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier B.V.",

number = "2-4",

}

TY - JOUR

T1 - A two-dimensional model for quasigeostrophic flow

T2 - Comparison with the two-dimensional Euler flow

AU - Majda, Andrew J.

AU - Tabak, Esteban G.

N1 - Funding Information: A.J. Majda was partially supported by grants NSF DMS-99301094, ARO DAAL03-92-G-0010, ONR N00014-89-J-1044.P00003 and DARPA N00014-92-J-1796; E.G. Tabak was partially supported by grant NSF DMS-9501073.

PY - 1996

Y1 - 1996

N2 - A simple two-dimensional model for quasigeostrophic flow is contrasted with the two-dimensional incompressible Euler equations. The model arises under the assumptions of fast rotation, uniform stratification and uniform potential vorticity. It is found that the more local feed-back of the quasigeostrophic model gives rise to strongly nonlinear front formation, as opposed to two-dimensional Euler, where the steepening process of mature fronts obeys a nonlocal, nearly linear mechanism.

AB - A simple two-dimensional model for quasigeostrophic flow is contrasted with the two-dimensional incompressible Euler equations. The model arises under the assumptions of fast rotation, uniform stratification and uniform potential vorticity. It is found that the more local feed-back of the quasigeostrophic model gives rise to strongly nonlinear front formation, as opposed to two-dimensional Euler, where the steepening process of mature fronts obeys a nonlocal, nearly linear mechanism.

KW - Euler equations

KW - Frontogenesis

KW - Geostrophic balance

KW - Singular behavior

KW - Vortex stretching

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 2-4

ER -

A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow

Abstract

Keywords

ASJC Scopus subject areas

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