Repository: Freie Universität Berlin, Math Department

Direct numerical simulation of a breaking inertia-gravity wave

Remmler, S. and Fruman, M. D. and Hickel, S. (2013) Direct numerical simulation of a breaking inertia-gravity wave. Journal of Fluid Mechanics, 722 . pp. 424-436.

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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.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:1432
Deposited By: Ulrike Eickers
Deposited On:01 Aug 2014 10:03
Last Modified:01 Aug 2014 10:11

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