A two-dimensional model for quasigeostrophic flow

Comparison with the two-dimensional Euler flow

Andrew J. Majda, Esteban G. Tabak

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)515-522
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume98
Issue number2-4
StatePublished - 1996

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two dimensional models
Euler
stratification
vorticity
Incompressible Euler Equations
Euler equations
Stratification
Vorticity
Model
Feedback

Keywords

  • Euler equations
  • Frontogenesis
  • Geostrophic balance
  • Singular behavior
  • Vortex stretching

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

A two-dimensional model for quasigeostrophic flow : Comparison with the two-dimensional Euler flow. / Majda, Andrew J.; Tabak, Esteban G.

In: Physica D: Nonlinear Phenomena, Vol. 98, No. 2-4, 1996, p. 515-522.

Research output: Contribution to journalArticle

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