Subgrid parameterisation of the eddy-meanfield interactions in a baroclinic quasi-geostrophic ocean
We present parameterisations of the subgrid eddy-eddy and eddy-meanfield interactions in a baroclinic ocean representative of the Antarctic Circumpolar Current. Benchmark direct numerical simulations were undertaken using a quasi-geostrophic spectral spherical harmonic code of maximum zonal and tota...
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ftaustralianmsoj:oai:journal.austms.org.au:article/6309 2023-05-15T13:56:42+02:00 Subgrid parameterisation of the eddy-meanfield interactions in a baroclinic quasi-geostrophic ocean Kitsios, Vassili Frederiksen, Jorgen S Zidikheri, Meelis J 2013-08-16 application/pdf application/octet-stream https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6309 eng eng Australian Mathematical Society https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6309/1718 https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6309/1726 https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6309 ANZIAM Journal; Vol. 54 (2012); C459--C475 1445-8810 large eddy simulation subgrid parameterisation turbulence ocean 76F65 76F30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer reviewed conference article 2013 ftaustralianmsoj 2022-02-28T12:00:26Z We present parameterisations of the subgrid eddy-eddy and eddy-meanfield interactions in a baroclinic ocean representative of the Antarctic Circumpolar Current. Benchmark direct numerical simulations were undertaken using a quasi-geostrophic spectral spherical harmonic code of maximum zonal and total truncation wavenumber of \(T=252\,\). The eddy-eddy interactions are represented by both stochastic and deterministic parameterisations, with model coefficients determined from the direct numerical simulations truncated back to the large eddy simulation truncation wavenumber \(T_R\) less than \(T\). Coefficients of the deterministic eddy-meanfield model are determined by a new least squares regression method. Truncations were repeated for various \(T_R\), with the dependence of the coefficients on \(T_R\) identified. Kinetic energy spectra from the large eddy simulations using these coefficients agree with the direct numerical simulations. References K. Bryan and J. L. Lewis. A water mass model of the global ocean. J. Geophys. Res., 84:2503--2517 (1979). doi:10.1029/JC084iC05p02503 J. S. Frederiksen. Precursors to blocking anomalies: the tangent linear and inverse problems. J. Atmos. Sci., 55:2419--2436 (1998). doi:10.1175/1520-0469(1998)055<2419:PTBATT>2.0.CO;2 J. S. Frederiksen. Self-energy closure for inhomogeneous turbulence and subgrid modeling. Entropy, 14:769--799 (2012). doi:10.3390/e14040769 J. S. Frederiksen and S. M. Kepert. Dynamical subgrid-scale parameterizations from direct numerical simulations. J. Atmos. Sci., 63:3006--3019 (2006). doi:10.1175/JAS3795.1 P. R. Gent and J. C. McWilliams. Isopycnal mixing in ocean circulation models. J. Phys. Oceanogr., 20:150--155 (1990). doi:10.1175/1520-0485(1990)020<0150:IMIOCM>2.0.CO;2 S. M. Griffies, A. Gnanadesikan, K. W. Dixon, J. P. Dunne, R. Gerdes, M. J. Harrison, A. Rosati, J. L. Russell, B. L. Samuels, M. J. Spelman, M. Winton, and R. Zhang. Formulation of an ocean model for global climate simulations. Ocean Science, 1:45--79 (2005). doi:10.5194/os-1-45-2005 V. Kitsios, J. S. Frederiksen, and M. J. Zidikheri. Scaling laws for parameterisations of subgrid eddy-eddy interactions in simulations of oceanic circulations. Ocean Modelling, in print (2013). J. N. Koshyk and K. Hamilton. The horizontal kinetic energy spectrum and spectral budget simulated by a high-resolution troposphere-stratosphere-mesosphere GCM. J. Atmos. Sci., 58:329--348 (2001). doi:10.1175/1520-0469(2001)058<0329:THKESA>2.0.CO;2 M. H. Redi. Oceanic isopycnal mixing by coordinate rotation. J. Phys. Oceanogr., 12:1154--1158 (1982). doi:10.1175/1520-0485(1982)012<1154:OIMBCR>2.0.CO;2 M. J. Zidikheri and J. S. Frederiksen. Stochastic modelling of unresolved eddy fluxes. Geophysical and Astrophysical Fluid Dynamics, 104:323--348 (2010). doi:10.1080/03091921003694701 M. J. Zidikheri and J. S. Frederiksen. Stochastic subgrid-scale modelling for non-equilibrium geophysical flows. Phil. Trans. Royal Soc. A, 368:145--160 (2010). doi:10.1098/rsta.2009.0192 Article in Journal/Newspaper Antarc* Antarctic Australian Mathematical Society (AustMS): E-Journals Antarctic The Antarctic ANZIAM Journal 54 459 |
institution |
Open Polar |
collection |
Australian Mathematical Society (AustMS): E-Journals |
op_collection_id |
ftaustralianmsoj |
language |
English |
topic |
large eddy simulation subgrid parameterisation turbulence ocean 76F65 76F30 |
spellingShingle |
large eddy simulation subgrid parameterisation turbulence ocean 76F65 76F30 Kitsios, Vassili Frederiksen, Jorgen S Zidikheri, Meelis J Subgrid parameterisation of the eddy-meanfield interactions in a baroclinic quasi-geostrophic ocean |
topic_facet |
large eddy simulation subgrid parameterisation turbulence ocean 76F65 76F30 |
description |
We present parameterisations of the subgrid eddy-eddy and eddy-meanfield interactions in a baroclinic ocean representative of the Antarctic Circumpolar Current. Benchmark direct numerical simulations were undertaken using a quasi-geostrophic spectral spherical harmonic code of maximum zonal and total truncation wavenumber of \(T=252\,\). The eddy-eddy interactions are represented by both stochastic and deterministic parameterisations, with model coefficients determined from the direct numerical simulations truncated back to the large eddy simulation truncation wavenumber \(T_R\) less than \(T\). Coefficients of the deterministic eddy-meanfield model are determined by a new least squares regression method. Truncations were repeated for various \(T_R\), with the dependence of the coefficients on \(T_R\) identified. Kinetic energy spectra from the large eddy simulations using these coefficients agree with the direct numerical simulations. References K. Bryan and J. L. Lewis. A water mass model of the global ocean. J. Geophys. Res., 84:2503--2517 (1979). doi:10.1029/JC084iC05p02503 J. S. Frederiksen. Precursors to blocking anomalies: the tangent linear and inverse problems. J. Atmos. Sci., 55:2419--2436 (1998). doi:10.1175/1520-0469(1998)055<2419:PTBATT>2.0.CO;2 J. S. Frederiksen. Self-energy closure for inhomogeneous turbulence and subgrid modeling. Entropy, 14:769--799 (2012). doi:10.3390/e14040769 J. S. Frederiksen and S. M. Kepert. Dynamical subgrid-scale parameterizations from direct numerical simulations. J. Atmos. Sci., 63:3006--3019 (2006). doi:10.1175/JAS3795.1 P. R. Gent and J. C. McWilliams. Isopycnal mixing in ocean circulation models. J. Phys. Oceanogr., 20:150--155 (1990). doi:10.1175/1520-0485(1990)020<0150:IMIOCM>2.0.CO;2 S. M. Griffies, A. Gnanadesikan, K. W. Dixon, J. P. Dunne, R. Gerdes, M. J. Harrison, A. Rosati, J. L. Russell, B. L. Samuels, M. J. Spelman, M. Winton, and R. Zhang. Formulation of an ocean model for global climate simulations. Ocean Science, 1:45--79 (2005). doi:10.5194/os-1-45-2005 V. Kitsios, J. S. Frederiksen, and M. J. Zidikheri. Scaling laws for parameterisations of subgrid eddy-eddy interactions in simulations of oceanic circulations. Ocean Modelling, in print (2013). J. N. Koshyk and K. Hamilton. The horizontal kinetic energy spectrum and spectral budget simulated by a high-resolution troposphere-stratosphere-mesosphere GCM. J. Atmos. Sci., 58:329--348 (2001). doi:10.1175/1520-0469(2001)058<0329:THKESA>2.0.CO;2 M. H. Redi. Oceanic isopycnal mixing by coordinate rotation. J. Phys. Oceanogr., 12:1154--1158 (1982). doi:10.1175/1520-0485(1982)012<1154:OIMBCR>2.0.CO;2 M. J. Zidikheri and J. S. Frederiksen. Stochastic modelling of unresolved eddy fluxes. Geophysical and Astrophysical Fluid Dynamics, 104:323--348 (2010). doi:10.1080/03091921003694701 M. J. Zidikheri and J. S. Frederiksen. Stochastic subgrid-scale modelling for non-equilibrium geophysical flows. Phil. Trans. Royal Soc. A, 368:145--160 (2010). doi:10.1098/rsta.2009.0192 |
format |
Article in Journal/Newspaper |
author |
Kitsios, Vassili Frederiksen, Jorgen S Zidikheri, Meelis J |
author_facet |
Kitsios, Vassili Frederiksen, Jorgen S Zidikheri, Meelis J |
author_sort |
Kitsios, Vassili |
title |
Subgrid parameterisation of the eddy-meanfield interactions in a baroclinic quasi-geostrophic ocean |
title_short |
Subgrid parameterisation of the eddy-meanfield interactions in a baroclinic quasi-geostrophic ocean |
title_full |
Subgrid parameterisation of the eddy-meanfield interactions in a baroclinic quasi-geostrophic ocean |
title_fullStr |
Subgrid parameterisation of the eddy-meanfield interactions in a baroclinic quasi-geostrophic ocean |
title_full_unstemmed |
Subgrid parameterisation of the eddy-meanfield interactions in a baroclinic quasi-geostrophic ocean |
title_sort |
subgrid parameterisation of the eddy-meanfield interactions in a baroclinic quasi-geostrophic ocean |
publisher |
Australian Mathematical Society |
publishDate |
2013 |
url |
https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6309 |
geographic |
Antarctic The Antarctic |
geographic_facet |
Antarctic The Antarctic |
genre |
Antarc* Antarctic |
genre_facet |
Antarc* Antarctic |
op_source |
ANZIAM Journal; Vol. 54 (2012); C459--C475 1445-8810 |
op_relation |
https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6309/1718 https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6309/1726 https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6309 |
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ANZIAM Journal |
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