Direct numerical simulation of a breaking inertia-gravity wave

S. Remmler, M. D. Fruman, S. Hickel*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)424-436
Number of pages13
JournalJournal of Fluid Mechanics
Publication statusPublished - 1 May 2013
Externally publishedYes


  • Atmospheric flows
  • Internal waves
  • Stratified flows


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