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Statistics of Richardson Number and Instability in Oceanic Internal Waves
Ist Teil von
Journal of physical oceanography, 1982-01, Vol.12 (11), p.1245-1259
Erscheinungsjahr
1982
Link zum Volltext
Quelle
EZB Electronic Journals Library
Beschreibungen/Notizen
The probability density function (pdf) of Richardson number in a Gaussian internal-wave field is derived. It is found to compare well with available data. The pdf depends on only parameter lambda , the rms strain in the field, which is very weakly dependent on depth if at all. The probability Ri < 0.25 is a very sensitive function of lambda , which is about lambda approximately equals 0.5 in the ocean. Numerical simulations of vertical profiles Ri(z) are calculated based on a set of stochastic differential equations. The statistics of the vertical distributions of regions where Ri < 0.25 is investigated and a simplified mixing model based on the stochastic differential equations is derived. We conclude that shear instability is a significant factor in the dissipation of internal waves.