Similarity theory based on the Dougherty-Ozmidov length scale
The article of record as published may be located at http://dx.doi.org/10.1002/qj.2488 This article describes a local similarity theory for developed turbulence in the stably stratified boundary layer that is based on the Brunt–V¨ais¨al¨a frequency and the dissipation rate of turbulent kinetic energ...
Main Authors: | , , , , |
---|---|
Format: | Article in Journal/Newspaper |
Language: | unknown |
Published: |
2014
|
Subjects: | |
Online Access: | https://hdl.handle.net/10945/44892 |
id |
ftnavalpschool:oai:calhoun.nps.edu:10945/44892 |
---|---|
record_format |
openpolar |
spelling |
ftnavalpschool:oai:calhoun.nps.edu:10945/44892 2024-06-09T07:43:59+00:00 Similarity theory based on the Dougherty-Ozmidov length scale Grachev, Andrey A. Andreas, Edgar L. Fairall, Christopher W. Guest, Peter S. Persson, P. Ola G. 2014-04 application/pdf https://hdl.handle.net/10945/44892 unknown Quarterly Journal of the Royal Meteorological Society, 2014 https://hdl.handle.net/10945/44892 This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. Dougherty-Ozmidov length scale mixing efficiency Monin-Obukhov similarity theory oceanic vertical mixing stable boundary layer z-less similarity Article 2014 ftnavalpschool 2024-05-15T00:59:18Z The article of record as published may be located at http://dx.doi.org/10.1002/qj.2488 This article describes a local similarity theory for developed turbulence in the stably stratified boundary layer that is based on the Brunt–V¨ais¨al¨a frequency and the dissipation rate of turbulent kinetic energy instead of the turbulent fluxes used in the traditional Monin–Obukhov similarity theory. Based on dimensional analysis (Pi theorem), it is shown that any properly scaled statistics of the small-scale turbulence are universal functions of a stability parameter defined as the ratio of a reference height z and the Dougherty–Ozmidov length scale, which in the limit of z-less stratification is linearly proportional to the Obukhov length scale.Measurements of atmospheric turbulence made at five levels on a 20 m tower over the Arctic pack ice during the Surface Heat Budget of the Arctic Ocean experiment (SHEBA) are used to examine the behaviour of different similarity functions in the stable boundary layer. In the framework of this approach the non-dimensional turbulent viscosity is equal to the gradient Richardson number, whereas the non-dimensional turbulent thermal diffusivity is equal to the flux Richardson number. These results are a consequence of the approximate local balance between production of turbulence by shear in the mean flow and viscous dissipation. The turbulence framework based on the Brunt–V¨ais¨al¨a frequency and the dissipation rate of turbulent kinetic energy may have practical advantages for estimating turbulence when the fluxes are not directly available. Article in Journal/Newspaper Arctic Arctic Ocean Surface Heat Budget of the Arctic Ocean Naval Postgraduate School: Calhoun Arctic Arctic Ocean Dougherty ENVELOPE(161.083,161.083,-82.717,-82.717) |
institution |
Open Polar |
collection |
Naval Postgraduate School: Calhoun |
op_collection_id |
ftnavalpschool |
language |
unknown |
topic |
Dougherty-Ozmidov length scale mixing efficiency Monin-Obukhov similarity theory oceanic vertical mixing stable boundary layer z-less similarity |
spellingShingle |
Dougherty-Ozmidov length scale mixing efficiency Monin-Obukhov similarity theory oceanic vertical mixing stable boundary layer z-less similarity Grachev, Andrey A. Andreas, Edgar L. Fairall, Christopher W. Guest, Peter S. Persson, P. Ola G. Similarity theory based on the Dougherty-Ozmidov length scale |
topic_facet |
Dougherty-Ozmidov length scale mixing efficiency Monin-Obukhov similarity theory oceanic vertical mixing stable boundary layer z-less similarity |
description |
The article of record as published may be located at http://dx.doi.org/10.1002/qj.2488 This article describes a local similarity theory for developed turbulence in the stably stratified boundary layer that is based on the Brunt–V¨ais¨al¨a frequency and the dissipation rate of turbulent kinetic energy instead of the turbulent fluxes used in the traditional Monin–Obukhov similarity theory. Based on dimensional analysis (Pi theorem), it is shown that any properly scaled statistics of the small-scale turbulence are universal functions of a stability parameter defined as the ratio of a reference height z and the Dougherty–Ozmidov length scale, which in the limit of z-less stratification is linearly proportional to the Obukhov length scale.Measurements of atmospheric turbulence made at five levels on a 20 m tower over the Arctic pack ice during the Surface Heat Budget of the Arctic Ocean experiment (SHEBA) are used to examine the behaviour of different similarity functions in the stable boundary layer. In the framework of this approach the non-dimensional turbulent viscosity is equal to the gradient Richardson number, whereas the non-dimensional turbulent thermal diffusivity is equal to the flux Richardson number. These results are a consequence of the approximate local balance between production of turbulence by shear in the mean flow and viscous dissipation. The turbulence framework based on the Brunt–V¨ais¨al¨a frequency and the dissipation rate of turbulent kinetic energy may have practical advantages for estimating turbulence when the fluxes are not directly available. |
format |
Article in Journal/Newspaper |
author |
Grachev, Andrey A. Andreas, Edgar L. Fairall, Christopher W. Guest, Peter S. Persson, P. Ola G. |
author_facet |
Grachev, Andrey A. Andreas, Edgar L. Fairall, Christopher W. Guest, Peter S. Persson, P. Ola G. |
author_sort |
Grachev, Andrey A. |
title |
Similarity theory based on the Dougherty-Ozmidov length scale |
title_short |
Similarity theory based on the Dougherty-Ozmidov length scale |
title_full |
Similarity theory based on the Dougherty-Ozmidov length scale |
title_fullStr |
Similarity theory based on the Dougherty-Ozmidov length scale |
title_full_unstemmed |
Similarity theory based on the Dougherty-Ozmidov length scale |
title_sort |
similarity theory based on the dougherty-ozmidov length scale |
publishDate |
2014 |
url |
https://hdl.handle.net/10945/44892 |
long_lat |
ENVELOPE(161.083,161.083,-82.717,-82.717) |
geographic |
Arctic Arctic Ocean Dougherty |
geographic_facet |
Arctic Arctic Ocean Dougherty |
genre |
Arctic Arctic Ocean Surface Heat Budget of the Arctic Ocean |
genre_facet |
Arctic Arctic Ocean Surface Heat Budget of the Arctic Ocean |
op_relation |
Quarterly Journal of the Royal Meteorological Society, 2014 https://hdl.handle.net/10945/44892 |
op_rights |
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. |
_version_ |
1801372792739856384 |