Generation of turbulence through frontogenesis in sheared stratified flows

The large-scale structures in the ocean and the atmosphere are in geostrophic balance, and a conduit must be found to channel the energy to the small scales where it can be dissipated. In turbulence, this takes the form of an energy cascade, whereas a possible mechanism in a balanced flow is through...

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Publicado: 2018
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v30_n8_p_Sujovolsky
http://hdl.handle.net/20.500.12110/paper_10706631_v30_n8_p_Sujovolsky
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spelling paper:paper_10706631_v30_n8_p_Sujovolsky2023-06-08T16:04:35Z Generation of turbulence through frontogenesis in sheared stratified flows Aspect ratio Turbulence Boussinesq equations Geostrophic balance Large aspect ratio Large scale structures Numerical experiments Possible mechanisms Small-scale modeling Stratified flows Shear flow The large-scale structures in the ocean and the atmosphere are in geostrophic balance, and a conduit must be found to channel the energy to the small scales where it can be dissipated. In turbulence, this takes the form of an energy cascade, whereas a possible mechanism in a balanced flow is through the formation of fronts, a common occurrence in geophysics. We show that an iconic configuration in laboratory and numerical experiments for the study of turbulence, the so-called Taylor-Green or von Kármán swirling flow, can be suitably adapted to domains with large aspect ratios, leading to the creation of an imposed large-scale vertical shear. To this effect, we use direct numerical simulations of the Boussinesq equations without net rotation and with no small-scale modeling. Various grid spacings are used, up to 20482 × 256 spatial points. The grids are always isotropic, with box aspect ratios of either 1:4 or 1:8. We find that when shear and stratification are comparable, the imposed shear layer resulting from the forcing leads to the formation of fronts and filaments which destabilize and evolve into a turbulent flow in the bulk, with a sizable amount of dissipation and mixing, following a cycle of front creation, instability, and development of turbulence. The results depend on the vertical length scales of shear and stratification. © 2018 Author(s). 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v30_n8_p_Sujovolsky http://hdl.handle.net/20.500.12110/paper_10706631_v30_n8_p_Sujovolsky
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Aspect ratio
Turbulence
Boussinesq equations
Geostrophic balance
Large aspect ratio
Large scale structures
Numerical experiments
Possible mechanisms
Small-scale modeling
Stratified flows
Shear flow
spellingShingle Aspect ratio
Turbulence
Boussinesq equations
Geostrophic balance
Large aspect ratio
Large scale structures
Numerical experiments
Possible mechanisms
Small-scale modeling
Stratified flows
Shear flow
Generation of turbulence through frontogenesis in sheared stratified flows
topic_facet Aspect ratio
Turbulence
Boussinesq equations
Geostrophic balance
Large aspect ratio
Large scale structures
Numerical experiments
Possible mechanisms
Small-scale modeling
Stratified flows
Shear flow
description The large-scale structures in the ocean and the atmosphere are in geostrophic balance, and a conduit must be found to channel the energy to the small scales where it can be dissipated. In turbulence, this takes the form of an energy cascade, whereas a possible mechanism in a balanced flow is through the formation of fronts, a common occurrence in geophysics. We show that an iconic configuration in laboratory and numerical experiments for the study of turbulence, the so-called Taylor-Green or von Kármán swirling flow, can be suitably adapted to domains with large aspect ratios, leading to the creation of an imposed large-scale vertical shear. To this effect, we use direct numerical simulations of the Boussinesq equations without net rotation and with no small-scale modeling. Various grid spacings are used, up to 20482 × 256 spatial points. The grids are always isotropic, with box aspect ratios of either 1:4 or 1:8. We find that when shear and stratification are comparable, the imposed shear layer resulting from the forcing leads to the formation of fronts and filaments which destabilize and evolve into a turbulent flow in the bulk, with a sizable amount of dissipation and mixing, following a cycle of front creation, instability, and development of turbulence. The results depend on the vertical length scales of shear and stratification. © 2018 Author(s).
title Generation of turbulence through frontogenesis in sheared stratified flows
title_short Generation of turbulence through frontogenesis in sheared stratified flows
title_full Generation of turbulence through frontogenesis in sheared stratified flows
title_fullStr Generation of turbulence through frontogenesis in sheared stratified flows
title_full_unstemmed Generation of turbulence through frontogenesis in sheared stratified flows
title_sort generation of turbulence through frontogenesis in sheared stratified flows
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v30_n8_p_Sujovolsky
http://hdl.handle.net/20.500.12110/paper_10706631_v30_n8_p_Sujovolsky
_version_ 1768543909061853184