Klein, R.
(2010)
*Scale-Dependent Asymptotic Models for Atmospheric Flows.*
Annual Review of Fluid Mechanics, 42
.
pp. 249-274.

Full text not available from this repository.

Official URL: http://arjournals.annualreviews.org/doi/abs/10.114...

## Abstract

Atmospheric flows feature length scales from 10?5 to 105 m and timescales from microseconds to weeks or more. For scales above several kilometers and minutes, there is a natural scale separation induced by the atmosphere’s thermal stratification, together with the influences of gravity and Earth’s rotation, and the fact that atmospheric-flow Mach numbers are typically small. A central aim of theoretical meteorology is to understand the associated scale-specific flow phenomena, such as internal gravity waves, baroclinic instabilities, Rossby waves, cloud formation and moist convection, (anti-)cyclonic weather patterns, hurricanes, and a variety of interacting waves in the tropics. Single-scale asymptotics yields reduced sets of equations that capture the essence of these scale-specific processes. For studies of interactions across scales, techniques of multiple-scales asymptotics have received increasing recognition in recent years. This article recounts the most prominent scales and associated scale-dependent models and summarizes recent multiple-scales developments.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group |

ID Code: | 762 |

Deposited By: | Ulrike Eickers |

Deposited On: | 19 Aug 2009 08:36 |

Last Modified: | 03 Feb 2011 09:47 |

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