Direct numerical simulation of a breaking inertia-gravity wave

Journal article (2013)

Authors

Sebastian Remmler Technische Universität München
Mark D. Fruman Goethe University
S. Hickel Technische Universität München
Affiliation
External organisation
Internal waves Stratified flows Atmospheric flows
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Published Date

01-05-2013

Language

English

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Abstract

We have performed fully resolved three-dimensional numerical simulations of a statically unstable monochromatic inertia-gravity wave using the Boussinesq equations on an f-plane with constant stratification. The chosen parameters represent a gravity wave with almost vertical direction of propagation and a wavelength of 3 km breaking in the middle atmosphere. We initialized the simulation with a statically unstable gravity wave perturbed by its leading transverse normal mode and the leading instability modes of the time-dependent wave breaking in a two-dimensional space. The wave was simulated for approximately 16 h, which is twice the wave period. After the first breaking triggered by the imposed perturbation, two secondary breaking events are observed. Similarities and differences between the three-dimensional and previous two-dimensional solutions of the problem and effects of domain size and initial perturbations are discussed.