ROME: A Pseudo‐Spectral Algorithm for Time‐Dependent Shear Flows in Stratified Environments

Abstract Parameterizations of small‐scale mixing are important in modeling the behavior of the World Ocean. These microstructure mixing processes do not exist in isolation, however, and larger‐scale processes can affect their fluxes, which is an important consideration for general circulation models...

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Autores principales:	Justin M. Brown, Timour Radko
Formato:	article
Lenguaje:	EN
Publicado:	American Geophysical Union (AGU) 2021
Materias:	double‐diffusive convection microstructure salt fingering shear numerical simulations pseudospectral methods Physical geography GB3-5030 Oceanography GC1-1581
Acceso en línea:	https://doaj.org/article/8758c5449db545febd5a1d316e7fc6c3
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spelling	oai:doaj.org-article:8758c5449db545febd5a1d316e7fc6c32021-11-30T08:40:32ZROME: A Pseudo‐Spectral Algorithm for Time‐Dependent Shear Flows in Stratified Environments1942-246610.1029/2021MS002598https://doaj.org/article/8758c5449db545febd5a1d316e7fc6c32021-11-01T00:00:00Zhttps://doi.org/10.1029/2021MS002598https://doaj.org/toc/1942-2466Abstract Parameterizations of small‐scale mixing are important in modeling the behavior of the World Ocean. These microstructure mixing processes do not exist in isolation, however, and larger‐scale processes can affect their fluxes, which is an important consideration for general circulation models. We have developed a new pseudo‐spectral hydrodynamic model, the “Rocking Ocean Modeling Environment,” which is able to simulate the effects of some large‐scale processes, such as shear and internal waves. The code induces a time‐dependent shear forcing across a small domain that can accurately resolve the micro‐scale. This configuration presents a challenge for modeling via Fourier‐based algorithms because the typical evolution of such a flow is incompatible with the periodic boundary conditions at the vertical extremities of the computational domain. This complication is addressed by reformulating the governing equations in a new, temporally varying “tilting” coordinate system associated with the background flow as has been done in the past in the field of homogenous turbulence. The code is applied to one such process which is known to show substantial differences in turbulent environments: salt fingers. We simulate salt fingers in the presence of constant and oscillating shear in order to quantify the mixing of heat and salt by these systems under the impacts of large‐scale internal waves. Generally, it is shown that the application of shear can reduce fluxes by a factor of 2 or 3 for typical amplitudes of near‐inertial waves and that the impact of shear decreases as the frequency of the applied shear increases.Justin M. BrownTimour RadkoAmerican Geophysical Union (AGU)articledouble‐diffusive convectionmicrostructuresalt fingeringshearnumerical simulationspseudospectral methodsPhysical geographyGB3-5030OceanographyGC1-1581ENJournal of Advances in Modeling Earth Systems, Vol 13, Iss 11, Pp n/a-n/a (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	double‐diffusive convection microstructure salt fingering shear numerical simulations pseudospectral methods Physical geography GB3-5030 Oceanography GC1-1581
spellingShingle	double‐diffusive convection microstructure salt fingering shear numerical simulations pseudospectral methods Physical geography GB3-5030 Oceanography GC1-1581 Justin M. Brown Timour Radko ROME: A Pseudo‐Spectral Algorithm for Time‐Dependent Shear Flows in Stratified Environments
description	Abstract Parameterizations of small‐scale mixing are important in modeling the behavior of the World Ocean. These microstructure mixing processes do not exist in isolation, however, and larger‐scale processes can affect their fluxes, which is an important consideration for general circulation models. We have developed a new pseudo‐spectral hydrodynamic model, the “Rocking Ocean Modeling Environment,” which is able to simulate the effects of some large‐scale processes, such as shear and internal waves. The code induces a time‐dependent shear forcing across a small domain that can accurately resolve the micro‐scale. This configuration presents a challenge for modeling via Fourier‐based algorithms because the typical evolution of such a flow is incompatible with the periodic boundary conditions at the vertical extremities of the computational domain. This complication is addressed by reformulating the governing equations in a new, temporally varying “tilting” coordinate system associated with the background flow as has been done in the past in the field of homogenous turbulence. The code is applied to one such process which is known to show substantial differences in turbulent environments: salt fingers. We simulate salt fingers in the presence of constant and oscillating shear in order to quantify the mixing of heat and salt by these systems under the impacts of large‐scale internal waves. Generally, it is shown that the application of shear can reduce fluxes by a factor of 2 or 3 for typical amplitudes of near‐inertial waves and that the impact of shear decreases as the frequency of the applied shear increases.
format	article
author	Justin M. Brown Timour Radko
author_facet	Justin M. Brown Timour Radko
author_sort	Justin M. Brown
title	ROME: A Pseudo‐Spectral Algorithm for Time‐Dependent Shear Flows in Stratified Environments
title_short	ROME: A Pseudo‐Spectral Algorithm for Time‐Dependent Shear Flows in Stratified Environments
title_full	ROME: A Pseudo‐Spectral Algorithm for Time‐Dependent Shear Flows in Stratified Environments
title_fullStr	ROME: A Pseudo‐Spectral Algorithm for Time‐Dependent Shear Flows in Stratified Environments
title_full_unstemmed	ROME: A Pseudo‐Spectral Algorithm for Time‐Dependent Shear Flows in Stratified Environments
title_sort	rome: a pseudo‐spectral algorithm for time‐dependent shear flows in stratified environments
publisher	American Geophysical Union (AGU)
publishDate	2021
url	https://doaj.org/article/8758c5449db545febd5a1d316e7fc6c3
work_keys_str_mv	AT justinmbrown romeapseudospectralalgorithmfortimedependentshearflowsinstratifiedenvironments AT timourradko romeapseudospectralalgorithmfortimedependentshearflowsinstratifiedenvironments
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ROME: A Pseudo‐Spectral Algorithm for Time‐Dependent Shear Flows in Stratified Environments

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