Stably Stratified Flows: A Model with No Ri(cr)*

Author:

Canuto V. M.1,Cheng Y.2,Howard A. M.3,Esau I. N.4

Affiliation:

1. NASA Goddard Institute for Space Studies, New York, and Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York

2. NASA Goddard Institute for Space Studies, New York, and Center for Climate Systems Research, Columbia University, New York, New York

3. NASA Goddard Institute for Space Studies, New York, New York, and Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts

4. Nansen Environmental and Remote Sensing Center, Bjerknes Centre for Climate Research, Bergen, Norway

Abstract

Abstract A large set of laboratory, direct numerical simulation (DNS), and large eddy simulation (LES) data indicates that in stably stratified flows turbulent mixing exists up to Ri ∼ O(100), meaning that there is practically no Ri(cr). On the other hand, traditional local second-order closure (SOC) models entail a critical Ri(cr) ∼ O(1) above which turbulence ceases to exist and are therefore unable to explain the above data. The authors suggest how to modify the recent SOC model of Cheng et al. to reproduce the above data for arbitrary Ri.

Publisher

American Meteorological Society

Subject

Atmospheric Science

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