Singular front formation in a model for quasigeostrophic flow

Peter Constantin; Andrew J. Majda; Esteban G. Tabak

doi:10.1063/1.868050

Singular front formation in a model for quasigeostrophic flow

Peter Constantin, Andrew J. Majda, Esteban G. Tabak

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

Abstract

A two-dimensional model for quasigeostrophic flow which exhibits an analogy with the three-dimensional incompressible Euler equations is considered. Numerical experiments show that this model develops sharp fronts without the need to explicitly incorporate any ageostrophic effect. Furthermore, these fronts appear to become singular in finite time. The numerical evidence for singular behavior survives the tests of rigorous mathematical criteria.

Original language	English (US)
Pages (from-to)	9-11
Number of pages	3
Journal	Physics of Fluids
Volume	6
Issue number	1
DOIs	https://doi.org/10.1063/1.868050
State	Published - 1994

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.868050

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abstract = "A two-dimensional model for quasigeostrophic flow which exhibits an analogy with the three-dimensional incompressible Euler equations is considered. Numerical experiments show that this model develops sharp fronts without the need to explicitly incorporate any ageostrophic effect. Furthermore, these fronts appear to become singular in finite time. The numerical evidence for singular behavior survives the tests of rigorous mathematical criteria.",

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AB - A two-dimensional model for quasigeostrophic flow which exhibits an analogy with the three-dimensional incompressible Euler equations is considered. Numerical experiments show that this model develops sharp fronts without the need to explicitly incorporate any ageostrophic effect. Furthermore, these fronts appear to become singular in finite time. The numerical evidence for singular behavior survives the tests of rigorous mathematical criteria.

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Singular front formation in a model for quasigeostrophic flow

Abstract

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