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Turbulence Closure: Turbulence, Waves and the Wave-turbulence Transition – Part 1: Vanishing Mean Shear : Volume 5, Issue 4 (14/11/2008)

By Baumert, H. Z.

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Book Id: WPLBN0004021031
Format Type: PDF Article :
File Size: Pages 36
Reproduction Date: 2015

Title: Turbulence Closure: Turbulence, Waves and the Wave-turbulence Transition – Part 1: Vanishing Mean Shear : Volume 5, Issue 4 (14/11/2008)  
Author: Baumert, H. Z.
Volume: Vol. 5, Issue 4
Language: English
Subject: Science, Ocean, Science
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2008
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Peters, H., & Baumert, H. Z. (2008). Turbulence Closure: Turbulence, Waves and the Wave-turbulence Transition – Part 1: Vanishing Mean Shear : Volume 5, Issue 4 (14/11/2008). Retrieved from http://worldebooklibrary.com/


Description
Description: Freie Universität, Dept. Mathematics and Computer Science, Berlin, and Institute for Applied Marine and Limnic Studies, Hamburg, Germany. A new two-equation, closure-like turbulence model for stably stratified flows is introduced which uses the turbulent kinetic energy (K) and the turbulent enstrophy (Ω) as primary variables. It accounts for mean shear – and internal wave-driven mixing in the two limits of mean shear and no waves and waves but no mean shear, respectively. The traditional TKE balance is augmented by an explicit energy transfer from internal waves to turbulence. A modification of the Ω-equation accounts for the effect of the waves on the turbulence time and space scales. The latter is based on the assumption of a non-zero constant flux Richardson number in the limit of vanishing mean-flow shear when turbulence is produced exclusively by internal waves. The new model reproduces the wave-turbulence transition analyzed by D'Asaro and Lien (2000). At small energy density E of the internal wave field, the turbulent dissipation rate (ε) scales like Ε~E2. This is what is observed in the deep sea. With increasing E, after the wave-turbulence transition has been passed, the scaling changes to Ε~E1. This is observed, for example, in the swift tidal flow near a sill in Knight Inlet. The new model further exhibits a turbulent length scale proportional to the Ozmidov scale, as observed in the ocean, and predicts the ratio between the turbulent Thorpe and Ozmidov length scales well within the range observed in the ocean.

Summary
Turbulence closure: turbulence, waves and the wave-turbulence transition – Part 1: Vanishing mean shear

Excerpt
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