Scaling laws for parametrizations of subgrid interactions in simulations of oceanic circulations

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 372, Issue 2018, 2014, Pages

  Kitsios, V ^a,b   Frederiksen, J S ^a   Zidikheri, M J ^c  

^a CSIRO   (Australia)

^b MONASH UNIVERSITY   (Australia)

^c BUREAU OF METEOROLOGY   (Australia)

Author keywords

General circulation model; Large eddy simulation; Ocean; Stochastic modelling; Subgrid parametrizations

Indexed keywords

LARGE EDDY SIMULATION; OCEAN CURRENTS; STOCHASTIC MODELS;

ANTARCTIC CIRCUMPOLAR CURRENTS; GENERAL CIRCULATION MODEL; LEAST-SQUARES REGRESSION METHOD; OCEAN; PARAMETRIZATIONS; QUASI-GEOSTROPHIC MODEL; STOCHASTIC PARAMETRIZATION; STOCHASTIC TECHNIQUES;

STOCHASTIC SYSTEMS;

EID: 84901611541     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2013.0285     Document Type: Article

References (29)

1. Frederiksen JS. 2012 Self-energy closure for inhomogeneous turbulence and subgrid modeling. Entropy 14, 769-799. (doi:10.3390/e14040769)
2. Smagorinsky J. 1963 General circulation experiments with the primitive equations. I. The basic experiment. Mon. Weather Rev. 91, 99-164. (doi:10.1175/1520-0493(1963) 0912.3.CO;2)
3. Leith CE. 1996 Stochastic models of chaotic systems. Physica D 98, 481-491. (doi:10.1016/0167- 2789(96)00107-8) (Pubitemid 126687469)
4. Baer F, Alyea FN. 1971 Effects of spectral truncation on general circulation and longrange prediction. J. Atmos. Sci. 28, 457-480. (doi:10.1175/1520-0469(1971)0282.0.CO;2)
5. Manabe S, Hahn DG, Holloway JL. 1979 Climate simulations with GFDL spectral models of the atmosphere: effects of spectral truncation. GARP Pub. Ser. 22, 41-94.
6. Koshyk JN, Hamilton K. 2001 The horizontal kinetic energy spectrum and spectral budget simulated by a high-resolution troposphere-stratosphere- mesosphere GCM. J. Atmos. Sci. 58, 329-348. (doi:10.1175/1520-0469(2001)0582.0. CO;2) (Pubitemid 32511768)
7. Böning CW, Budich RG. 1992 Eddy dynamics in a primitive equation model: sensitivity to horizontal resolution and friction. J. Phys. Oceanogr. 22, 361-381. (doi:10.1175/1520- 0485(1992)0222.0.CO;2)
8. Morrison AK, Hogg AM. 2013 On the relationship between Southern Ocean overturning and ACC transport. J. Phys. Oceanogr. 43, 140-148. (doi:10.1175/JPO-D-12-057.1)
9. Redi MH. 1982 Oceanic isopycnal mixing by coordinate rotation. J. Phys. Oceanogr. 12, 1154-1158. (doi:10.1175/1520-0485(1982)0122.0.CO;2)
10. Gent PR, McWilliams JC. 1990 Isopycnalmixing in ocean circulation models. J. Phys. Oceanogr. 20, 150-155. (doi:10.1175/1520-0485(1990)0202.0.CO;2)
11. Griffies S et al. 2005 Formulation of an ocean model for global climate simulations. Ocean Sci. 1, 45-79. (doi:10.5194/os-1-45-2005)
12. Kraichnan RH. 1959 The structure of isotropic turbulence at very high Reynolds numbers. J. Fluid Mech. 5, 497-543. (doi:10.1017/S0022112059000362)
13. Herring JR. 1965 Self consistent field approach to turbulence theory. Phys. Fluids 8, 2219-2225. (doi:10.1063/1.1761185)
14. McComb WD. 1974 A local energy-transfer theory of isotropic turbulence. J. Phys. A: Math. Gen. 7, 632-649. (doi:10.1088/0305-4470/7/5/013)
15. Frederiksen JS, Davies AG. 1997 Eddy viscosity and stochastic backscatter parameterizations on the sphere for atmospheric circulation models. J. Atmos. Sci. 54, 2475-2492. (doi:10.1175/ 1520-0469(1997)0542.0.CO;2)
16. Frederiksen JS. 1999 Subgrid-scale parameterizations of eddy-topographic force, eddy viscosity and stochastic backscatter for flow over topography. J. Atmos. Sci. 56, 1481-1494. (doi:10.1175/1520-0469(1999)0562.0.CO;2) (Pubitemid 29532420)
17. Schwinger J. 1948 Quantum electrodynamics. I. A covariant formulation. Phys. Rev. 74, 1439-1461. (doi:10.1103/PhysRev.74.1439)
18. Berera A, Salewski M, McComb WD. 2013 Eulerian field-theoretic closure formalisms for fluid turbulence. Phys. Rev. E 87, 013007. (doi:10.1103/PhysRevE. 87.013007)
19. Frederiksen JS, Kepert SM. 2006 Dynamical subgrid-scale parameterizations from direct numerical simulations. J. Atmos. Sci. 63, 3006-3019. (doi:10.1175/JAS3795.1) (Pubitemid 44857523)
20. Zidikheri MJ, Frederiksen JS. 2009 Stochastic subgrid parameterizations for simulations of atmospheric baroclinic flows. J. Atmos. Sci. 66, 2844-2858. (doi:10.1175/2009JAS3036.1)
21. Zidikheri MJ, Frederiksen JS. 2010 Stochastic subgrid-scale modelling for non-equilibrium geophysical flows. Phil. Trans. R. Soc. A 368, 145-160. (doi:10.1098/rsta.2009.0192)
22. Kitsios V, Frederiksen JS, ZidikheriMJ. 2012 Subgrid model with scaling laws for atmospheric simulations. J. Atmos. Sci. 69, 1427-1445. (doi:10.1175/JAS-D-11-0163.1)
23. Kitsios V, Frederiksen JS, Zidikheri MJ. 2013 Scaling laws for parameterisations of subgrid eddy-eddy interactions in simulations of oceanic circulations. Ocean Model. 68, 88-105. (doi:10.1016/j.ocemod.2013.05.001)
24. Frederiksen JS. 1998 Precursors to blocking anomalies: the tangent linear and inverse problems. J. Atmos. Sci. 55, 2419-2436. (doi:10.1175/1520- 0469(1998)055 2.0.CO;2)
25. Stevens DP, Killworth PD. 1992 The distribution of kinetic energy in the Southern Ocean: a comparison between observations and an eddy resolving general circulation model. Phil. Trans. R. Soc. Lond. B 338, 251-257. (doi:10.1098/rstb.1992.0145)
26. Phillips HE, Rintoul SR. 2000 Eddy variability and energetics from direct current measurements in the Antarctic circumpolar current south of Australia. J. Phys. Oceanogr. 30, 3050-3076. (doi:10.1175/1520-0485(2000)0302.0.CO;2) (Pubitemid 32192218)
27. O'Kane TJ, Matear RJ, Chamberlain MA, Risbey JS, Sloyan BM, Horenko I. 2013 Decadal variability in an OGCM Southern Ocean: intrinsicmodes, forcedmodes andmetastable states. Ocean Model. 69, 1-21. (doi:10.1016/j.ocemod.2013.04.009)
28. Phillips HE, Rintoul SR. 2002 A mean synoptic view of the subantarctic front south of Australia. J. Phys. Oceanogr. 32, 1536-1553. (doi:10.1175/1520- 0485(2002)0322.0.CO;2) (Pubitemid 34674457)
29. Kraichnan RH. 1976 Eddy viscosity in two and three dimensions. J. Atmos. Sci. 33, 1521-1536. (doi:10.1175/1520-0469(1976)0332.0.CO;2)