Schlutow, M. and Voelker, G.S.
(2020)
*On strongly nonlinear gravity waves in a vertically sheared atmosphere.*
Mathematics of Climate and Weather Forecasting, 6
(1).
pp. 63-74.

Full text not available from this repository.

Official URL: https://doi.org/10.1515/mcwf-2020-0103

## Abstract

We investigate strongly nonlinear stationary gravity waves which experience refraction due to a thinvertical shear layer of horizontal background wind. The velocity amplitude of the waves is of the same orderof magnitude as the background flow and hence the self-induced mean flow alters the modulation propertiesto leading order. In this theoretical study, we show that the stability of such a refracted wave depends on theclassical modulation stability criterion for each individual layer, above and below the shearing. Additionally,the stability is conditioned by novel instability criteria providing bounds on the mean-flow horizontal windand the amplitude of the wave. A necessary condition for instability is that the mean-flow horizontal wind inthe upper layer is stronger than the wind in the lower layer.Keywords:Internal gravity waves; Modulation equations; Shea

Item Type: | Article |
---|---|

Additional Information: | Open access |

Uncontrolled Keywords: | Internal gravity waves; Modulation equations; Sheared flow |

Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

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

ID Code: | 2488 |

Deposited By: | Ulrike Eickers |

Deposited On: | 16 Feb 2021 15:33 |

Last Modified: | 16 Feb 2021 15:33 |

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