Singular front formation in a model for quasigeostrophic flow
- 1 January 1994
- journal article
- letter
- Published by AIP Publishing in Physics of Fluids
- Vol. 6 (1) , 9-11
- https://doi.org/10.1063/1.868050
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.Keywords
This publication has 7 references indexed in Scilit:
- Evidence for a singularity of the three-dimensional, incompressible Euler equationsPhysics of Fluids A: Fluid Dynamics, 1993
- Effective equations and the inverse cascade theory for Kolmogorov flowsPhysics of Fluids A: Fluid Dynamics, 1993
- Vorticity, Turbulence, and Acoustics in Fluid FlowSIAM Review, 1991
- Geophysical Fluid DynamicsPublished by Springer Nature ,1987
- A simple one‐dimensional model for the three‐dimensional vorticity equationCommunications on Pure and Applied Mathematics, 1985
- Remarks on the breakdown of smooth solutions for the 3-D Euler equationsCommunications in Mathematical Physics, 1984
- The evolution of a turbulent vortexCommunications in Mathematical Physics, 1982