Hamiltonian formalism and the garrett-munk spectrum of internal waves in the ocean

Yuri V. Lvov, Esteban G. Tabak

Research output: Contribution to journalArticle

Abstract

Wave turbulence formalism for long internal waves in a stratified fluid is developed, based on a natural Hamiltonian description. A kinetic equation appropriate for the description of spectral energy transfer is derived, and its anisotropic self-similar stationary solution corresponding to a direct cascade of energy toward the short scales is found. This solution is very close to the high wave-number limit of the Garrett-Munk spectrum of long internal waves in the ocean. In fact, a small modification of the Garrett-Munk formalism includes a spectrum consistent with the one predicted by wave turbulence.

Original languageEnglish (US)
JournalPhysical Review Letters
Volume87
Issue number16
DOIs
StatePublished - Oct 2 2001

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Hamiltonian formalism and the garrett-munk spectrum of internal waves in the ocean'. Together they form a unique fingerprint.

  • Cite this