On multi-scale dispersion under the influence of surface mixed layer instabilities and deep flows

Ocean Modelling

Volumn 56, Issue , 2012, Pages 16-30

  Özgökmen, Tamay M ^a   Poje, Andrew C ^b   Fischer, Paul F ^c   Childs, Hank ^d   Krishnan, Harinarayan ^d   Garth, Christoph ^e   Haza, Angelique C ^a   Ryan, Edward ^a  

^a UNIVERSITY OF MIAMI   (United States)

^b CITY UNIVERSITY OF NEW YORK   (United States)

^c ARGONNE NATIONAL LABORATORY   (United States)

^d LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^e University of Koblenz Landau   (Germany)

Author keywords

Lagrangian sampling; LES; Transport

Indexed keywords

BAROCLINIC; BAROCLINIC MOTION; DEEP FLOW; EDDY DIFFUSIVITIES; FINITE-TIME LYAPUNOV EXPONENT; FLOW TRANSITIONS; LAGRANGIAN; LAGRANGIAN DISPERSION; LAGRANGIAN SAMPLING; LES; LYAPUNOV EXPONENT; MAXIMUM VALUES; MESOSCALE; MIXED LAYER; MULTISCALES; PARAMETERIZATIONS; PASSIVE TRACERS; PLATEAU REGION; RELATIVE DISPERSION; SMALL-SCALE INSTABILITY; SURFACE DISPERSION; SURFACE FLOW; SURFACE MIXED LAYERS; TIME-PERIODS; TRANSPORT;

LAGRANGE MULTIPLIERS; LYAPUNOV METHODS; SPECTRUM ANALYSIS; THREE DIMENSIONAL COMPUTER GRAPHICS; TRANSPORT PROPERTIES; VISUALIZATION;

DISPERSIONS;

BAROCLINIC MOTION; LARGE EDDY SIMULATION; MESOSCALE EDDY; MESOSCALE MOTION; MIXED LAYER; PARAMETERIZATION; THREE-DIMENSIONAL MODELING; TRACER;

EID: 84865517080     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2012.07.004     Document Type: Article

References (62)

1. Artale V., Boffetta G., Celani A., Cencini M., Vulpiani A. Dispersion of passive tracers in closed basins: Beyond the diffusion coefficient. Phys. Fluids 1997, 9:3162-3171.
2. Aurell E., Boffetta G., Crisanti A., Paladin G., Vulpiani A. Predictability in the large: an extension of the concept of Lyapunov exponent. J. Phys. A 1997, 30:1-26.
3. Babiano A., Basdevant C., Leroy P., Sadourny R. Relative dispersion in 2-dimensional turbulence. J. Fluid Mech. May 1990, 214:535-557.
4. Batchelor G.K. Diffusion in a field of homogeneous turbulence. 2: The relative motion of particles. Proc. Cambridge Phils. Soc. 1952, 48(2):345-362.
5. Bennett A.F. Relative dispersion - local and nonlocal dynamics. J. Atmos. Sci. 1984, 41(11):1881-1886.
6. Berti S., Santos F.A.D., Lacorata G., Vulpiani A. Lagrangian drifter dispersion in the Southwestern Atlantic Ocean. J. Phys. Oceanogr. 2011, 41:1659-1672.
7. Boccaletti G., Ferrari R., Fox-Kemper B. Mixed layer instabilities and restratification. J. Phys. Oceanogr. 2007, 37:2228-2250.
8. Boffetta G., Celani A., Cencini M., Lacorata G., Vulpiani A. Nonasymptotic properties of transport and mixing. Chaos 2000, 1:50-60.
9. Capet X., McWilliams J., Molemaker M., Shchepetkin A. Mesoscale to submesoscale transition in the California Current System. I: Flow structure, eddy flux and observational tests. J. Phys. Oceanogr. 2008, 38:29-43.
10. Capet X., McWilliams J., Molemaker M., Shchepetkin A. Mesoscale to submesoscale transition in the California Current System. Part iii: Energy balance and flux. J. Phys. Oceanogr. 2008, 38:2256-2269.
11. Castilla R., Redondo J.M., Gamez-Montero P.J., Babiano A. Particle dispersion processes in two-dimensional turbulence: a comparison with 2-d kinematic simulation. Nonlinear Proc. Geophys. 2007, 14(2):139-151.
12. Chang Y., Xu X., Özgökmen T., Chassignet E., Peters H., Fischer P. Comparison of gravity current mixing parameterizations and calibration using a high-resolution 3d nonhydrostatic spectral element model. Ocean Modell. 2005, 10:342-368.
13. Costa M., Goldberger A., Peng C. Multiscale entropy analysis of biological signals. Phys. Rev. 2005, 71:021906.
14. Davis R. Drifter observations of coastal currents during CODE. The method and descriptive view. J. Geophys. Res. 1985, 90:4741-4755.
15. Fischer P.F. An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations. J. Comput. Phys. 1997, 133:84-101.
16. Fox-Kemper B., Ferrari R., Hallberg R. Parameterization of mixed-layer eddies. Part i: Theory and diagnosis. J. Phys. Oceanogr. 2008, 38:1145-1165.
17. Gaspard P., Wang X. Noise, chaos and (ε{lunate}-τ)-entropy per unit time. Phys. Rep. 1993, 235:291-343.
18. Haller G. Lagrangian coherent structures from approximate velocity data. Phys. Fluids 2002, 14:1851-1861.
19. Haza A., Özgökmen T., Griffa A., Garraffo Z., Piterbarg L. Parameterization of particle transport at submesoscales in the Gulf Stream region using Lagrangian subgridscale models. Ocean Modell. 2012, 42:31-49.
20. Haza A., Özgökmen T., Griffa A., Molcard A., Poulain P., Peggion G. Transport properties in small scale coastal flows: relative dispersion from VHF radar measurements in the Gulf of La Spezia. Ocean Dyn. 2010, 60:861-882.
21. Haza A.C., Poje A., Özgökmen T.M., Martin P. Relative dispersion from a high-resolution coastal model of the Adriatic Sea. Ocean Modell. 2008, 22:48-65.
22. Ilicak M., Özgökmen T., Özsoy E., Fischer P. Non-hydrostatic modeling of exchange flows across complex geometries. Ocean Modell. 2009, 29:159-175.
23. Klein P., Lapeyre G. The oceanic vertical pump induced by mesoscale and submesoscale turbulence. Annu. Rev. Mar. Sci. 2009, 1:351-375.
24. Koszalka I., LaCasce J.H., Orvik K.A. Relative dispersion statistics in the Nordic Seas. J. Mar. Res. 2009, 67:411-433.
25. LaCasce J., Bower A. Relative dispersion in the subsurface North Atlantic. J. Mar. Res. 2000, 58:863-894.
26. LaCasce J.H. Statistics from Lagrangian observations. Prog. Ocean. 2008, 77(1):1-29.
27. LaCasce J.H., Ohlmann C. Relative dispersion at the surface of the Gulf of Mexico. J. Mar. Res. 2003, 61(3):285-312.
28. Lacorata G., Aurell E., Vulpiani A. Drifter dispersion in the Adriatic sea: Lagrangian data and chaotic model. Ann. Geophys. 2001, 19:121-129.
29. Lumpkin R., Elipot S. Surface drifter pair spreading in the North Atlantic. J. Geophys. Res. Oceans 2010, 115:C12017.
30. Lumpkin, R., Pazos, M., 2007. Measuring surface currents with Surface Velocity Program drifters: the instrument, its data, and some recent results. In: Griffa, A., Kirwan, A.D., Mariano, A., Özgökmen, T., Rossby, T. (Eds.), Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics, pp. 39-67.
31. Maday Y., Patera A.T. Spectral element methods for the Navier-Stokes equations. State of the Art Surveys in Computational Mechanics 1989, 71-143. ASME. A.K. Noor (Ed.).
32. Mahadevan A., Tandon A. An analysis of mechanisms for submesoscale vertical motion at ocean fronts. Ocean Modell. 2006, 14:241-256.
33. Mahadevan A., Tandon A., Ferrari R. Rapid changes in the mixed layer stratification driven by submesoscale instabilities and winds. J. Geophys. Res. 2010, 115:C03017. 10.1029/2008JC005203.
34. McWilliams J. Fluid dynamics at the margin of rotational control. Environ. Fluid Mech. 2008, 8:441-449.
35. McWilliams J.C. Submesoscale, coherent vortices in the ocean. Rev. Geophys. 1985, 23(2):165-182.
36. Müller P., McWilliams J., Molemaker M. Routes to dissipation in the ocean: the two-dimensional/three-dimensional turbulence conundrum. Marine Turbulence: Theories, Observations, and Models. Results of the CARTUM Project 2005, 397-405. Cambridge University Press. H.Z. Baumert, J. Simpson, J. Sündermann (Eds.).
37. Ohlmann J.C., White P.F., Sybrandy A.L., Niiler P.P. GPS-Cellular drifter technology for coastal observing system. J. Atmos. Oceanic Technol. 2005, 22:1381-1388.
38. Okubo A. Horizontal dispersion of floatable particles in vicinity of velocity singularities such as convergences. Deep-Sea Res. 1970, 17(3):445.
39. Ollitrault M., Gabillet C., DeVerdiere A.C. Open ocean regimes of relative dispersion. J. Fluid Mech. 2005, 533:381-407.
40. Özgökmen T., Fischer P. On the role of bottom roughness in overflows. Ocean Modell. 2008, 20:336-361.
41. Özgökmen, T., Fischer, P., in press. CFD application to oceanic mixed layer sampling with Lagrangian platforms. Int. J. Comp. Fluid. Dyn. doi:10.1080/10618562.2012.668888.
42. Özgökmen T., Fischer P., Johns W. Product water mass formation by turbulent density currents from a high-order nonhydrostatic spectral element model. Ocean Modell. 2006, 12:237-267.
43. Özgökmen T., Iliescu T., Fischer P. Large eddy simulation of stratified mixing in a three-dimensional lock-exchange system. Ocean Modell. 2009, 26:134-155.
44. Özgökmen T., Iliescu T., Fischer P. Reynolds number dependence of mixing in a lock-exchange system from direct numerical and large eddy simulations. Ocean Modell. 2009, 30:190-206.
45. Özgökmen T., Iliescu T., Fischer P., Srinivasan A., Duan J. Large eddy simulation of stratified mixing in two-dimensional dam-break problem in a rectangular enclosed domain. Ocean Modell. 2007, 16:106-140.
46. Özgökmen T., Poje A., Fischer P., Haza A. Large eddy simulations of mixed layer instabilities and sampling strategies. Ocean Modell. 2011, 39:311-331.
47. Özgökmen T.M., Fischer P.F., Duan J., Iliescu T. Three-dimensional turbulent bottom density currents from a high-order nonhydrostatic spectral element model. J. Phys. Oceanogr. 2004, 34(9):2006-2026.
48. Özgökmen T.M., Fischer P.F., Duan J., Iliescu T. Entrainment in bottom gravity currents over complex topography from three-dimensional nonhydrostatic simulations. Geophys. Res. Lett. 2004, 31:L13212. 10.1029/2004GL020186.
49. Patera A. A spectral element method for fluid dynamics; laminar flow in a channel expansion. J. Comput. Phys. 1984, 54:468-488.
50. Pattanayak A. Characterizing the metastable balance between chaos and diffusion. Physica D 2001, 148:1-19.
51. Pierrehumbert R. Tracer microstructure in the large-eddy dominated regime. Chaos Solitons Fract. 1994, 4:1091-1110.
52. Poje A., Haza A., Özgökmen T., Magaldi M., Garraffo Z. Resolution dependent relative dispersion statistics in a hierarchy of ocean models. Ocean Modell. 2010, 31:36-50.
53. Prince P.J., Dormand J.R. High order embedded Runge-Kutta formulae. J. Comput. Appl. Math. 1981, 7(1).
54. Richardson L.F. Atmospheric diffusion shown on a distance-neighbour graph. Proc. Royal Soc. Lond.: Ser. A Apr 1926, 110(756):709-737.
55. Schroeder K., Haza A.C., Griffa A., Özgökmen T.M., Poulain P., Gerin R., Peggion G., Rixen M. Relative dispersion in the liguro-provencal basin: from sub-mesoscale to mesoscale. Deep Sea Res. I 2011, 58:861-882.
56. Shadden S., Lekien F., Marsden J. Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Physica D 2005, 212(3-4):271-304.
57. Sundaram B., Poje A., Pattanayak A. Persistent patterns and multifractality in fluid mixing. Phys. Rev. E 2009, 79:066202.
58. Sundermeyer M., Ledwell J. Lateral dispersion over the continental shelf: analysis of dye release experiments. J. Geophys. Res. 2001, 106:9603-9621.
59. Thomas L., Tandon A., Mahadevan A. Submesoscale processes and dynamics. Ocean modeling in an Eddying Regime, edited by M. Hecht and H. Hasume. Geophys. Monogr. 2008, 177:17-38.
60. Titaud O., Brankart J.-M., Verron J. On the use of finite-time lyapunov exponents and vectors for direct assimilation of tracer images in ocean models. Tellus 2011, 63A:1038-1051.
61. Weiss J. The dynamics of enstrophy transfer in 2-dimensional hydrodynamics. Physica D 1991, 48(2-3):273-294.
62. Xu X., Chang Y., Peters H., Özgökmen T., Chassignet E. Parameterization of gravity current entrainment for ocean circulation models using a high-order 3d nonhydrostatic spectral element model. Ocean Modell. 2006, 14:19-44.