CFD application to oceanic mixed layer sampling with Lagrangian platforms

International Journal of Computational Fluid Dynamics

Volumn 26, Issue 6-8, 2012, Pages 337-348

  Özgökmen, Tamay M ^a   Fischer, Paul F ^b  

^a UNIVERSITY OF MIAMI   (United States)

^b ARGONNE NATIONAL LABORATORY   (United States)

Author keywords

Lagrangian transport; ocean mixing; ocean sampling; relative dispersion; tracers

Indexed keywords

ACOUSTIC PROPAGATION; AIR SEA INTERACTIONS; CFD APPLICATIONS; IN-FIELD; LAGRANGIAN; LAGRANGIAN TRANSPORT; MIXED LAYER; MULTISCALES; NAVAL OPERATIONS; OCEAN MIXING; OCEAN SAMPLING; OCEANIC MIXED LAYERS; PASSIVE SCALARS; RELATIVE DISPERSION; RESTRATIFICATION;

ENERGY TRANSFER; RADIOACTIVE TRACERS;

LAGRANGE MULTIPLIERS;

EID: 84868314985     PISSN: 10618562     EISSN: 10290257     Source Type: Journal    
DOI: 10.1080/10618562.2012.668888     Document Type: Article

References (73)

1. Artale, V. 1997. Dispersion of passive tracers in closed basins: beyond the diffusion coefficient. Physics Fluids, 9: 3162-3171.
2. Aurell, E. 1997. Predictability in the large: an extension of the concept of Lyapunov exponent. Journal of Physics A, 30: 1-26.
3. Baumert, H. and Peters, H. 2004. Turbulence closure, steady state, and collapse into waves. Journal of Physical Oceanography, 34: 505-512.
4. Baumert, H., Simpson, J. and Sündermann, J. 2005. Marine turbulence, Cambridge, UK: Cambridge University Press.
5. Boccaletti, G., Ferrari, R. and Fox-Kemper, B. 2007. Mixed layer instabilities and restratification. Journal of Physical Oceanography, 37: 2228-2250.
6. Botelho, D. 2009. A hydrostatic/non-hydrostatic grid-switching strategy for computing high-frequency, high wave number motions embedded in geophysical flows. Environmental Modelling and Software, 24: 473-488.
7. Burchard, H. and Baumert, H. 1995. On the performance of a mixed-layer model based on the k-ε turbulence closure. Journal of Geophysical Research, 100: 8523-8540.
8. Burchard, H. and Bolding, K. 2001. Comparative analysis of four second-moment turbulence closure models for the oceanic mixed layer. Journal of Physical Oceanography, 31: 1943-1968.
9. Canuto, V., Cheng, Y. and Howard, A. 2007. Non-local ocean mixing mode and a new plume model for deep convection. Ocean Modelling, 16: 28-46.
10. Canuto, V.M. 2001. Ocean turbulence. Part i: one-point closure model momentum and heat vertical diffusivities. Journal of Physical Oceanography, 31: 1413-1426.
11. Capet, X. 2008. Mesoscale to submesoscale transition in the California Current System: I flow structure, eddy flux and observational tests. Journal of Physical Oceanography, 38: 29-43.
12. Chang, Y. 2005. Comparison of gravity current mixing parameterizations and calibration using a high-resolution 3d nonhydrostatic spectral element model. Ocean Modelling, 10: 342-368.
13. Davis, R. 1985. Drifter observations of coastal currents during CODE. The method and descriptive view. Journal of Geophysical Research, 90: 4741-4755.
14. Deville, M., Fischer, P. and Mund, E. 2002. "High-order methods for incompressible fluid flow". In Vol. 9 of cambridge monographs on applied and computational mathematics, Cambridge, UK: Cambridge University Press.
15. Duan, J. 2010. Bridging the Boussinesq and primitive equations through spatio-temporal filtering. Applied Mathematics Letters, 23: 453-456.
16. Eldevik, T. and Dysthe, K. 2002. Spiral eddies. Journal of Physical Oceanography, 32: 851-869.
17. Ferziger, J. 2005. "Direct and large-eddy simulation of turbulence". In Marine turbulence-theories, observations and models, Edited by: Baumert, H.Z., Simpson, J.H. and Sündermann, J. 160-181. Cambridge, UK: Cambridge University Press.
18. Fox-Kemper, B., Ferrari, R. and Hallberg, R. 2008. Parameterization of mixed-layer eddies. Part i: theory and diagnosis. Journal of Physical Oceanography, 38: 1145-1165.
19. Garrett, C. and Munk, W. 1972. Space-time scales of internal waves. Geophysical Fluid Dynamics, 2: 225-264.
20. Germano, M. 1991. A dynamic subgrid-scale eddy viscosity model. Physics Fluids A, 3: 1760-1765.
21. Haza, A.C. 2008. Relative dispersion from a high-resolution coastal model of the Adriatic Sea. Ocean Modelling, 22: 48-65.
22. Haza, A. 2010. Transport properties in small scale coastal flows: relative dispersion from VHF radar measurements in the Gulf of La Spezia. Ocean Dynamics, 60: 861-882.
23. Ilicak, M. 2008. Performance of two-equation turbulence closures in three-dimensional simulations of the Red Sea overflow. Ocean Modelling, 24: 122-139.
24. Ilicak, M. 2009. Non-hydrostatic modeling of exchange flows across complex geometries. Ocean Modelling, 29: 159-175.
25. Kantha, L.H. and Clayson, C.A. 1994. An improved mixed layer model for geophysical applications. Journal of Geophysical Research, 99: 25235-25266.
26. Kantha, L.H. and Clayson, C.A. 2000. Small scale processes in geophysical flows, New York, NY: Academic Press.
27. Kaplan, D., Largier, J. and Botsford, L. 2005. HF radar observations of surface circulation off Bodega Bay (northern California, USA). Journal of Geophysical Research, 110, doi: 10.1029/2005JC002959
28. Klein, P. and Lapeyre, G. 2009. The oceanic vertical pump induced by mesoscale and submesoscale turbulence. Annual Review of Marine Science, 1: 351-375.
29. Koszalka, I., LaCasce, J.H. and Orvik, K.A. 2009. Relative dispersion statistics in the Nordic Seas. Journal of Marine Research, 67: 411-433.
30. LaCasce, J.H. and Ohlmann, C. 2003. Relative dispersion at the surface of the Gulf of Mexico. Journal of Marine Research, 61(3): 285-312.
31. Lacorata, G., Aurell, E. and Vulpiani, A. 2001. Drifter dispersion in the Adriatic sea: Lagrangian data and chaotic model. Annales Geophysicae, 19: 121-129.
32. Large, W. 1998. "Modeling and parameterizing the ocean planetary boundary layer". In Ocean modeling and parameterization, Edited by: Chassignet, E.P. and Verron, J. 81-120. Dordrecht, The Netherlands: Kluwer Academic Publishers.
33. Lumpkin, R. and Elipot, S. 2010. Surface drifter pair spreading in the North Atlantic. Journal of Geophysical Research C: Oceans, 115: C12017
34. Lumpkin, R. and Pazos, M. 2007. "Measuring surface currents with Surface Velocity Program drifters: the instrument, its data, and some recent results". In Lagrangian analysis and prediction of coastal and ocean dynamics Edited by: Griffa, A., Kirwan, A.D., Mariano, A., Özgökmen, T. and Rossby, T. 39-67.
35. Maday, Y. and Patera, A.T. 1989. "Spectral element methods for the Navier-Stokes equations". In State of the art surveys in computational mechanics, Edited by: Noor, A.K. 71-143. New York: ASME.
36. Mahadevan, A. and Tandon, A. 2006. An analysis of mechanisms for submesoscale vertical motion at ocean fronts. Ocean Modelling, 14: 241-256.
37. Mavriplis, C. 1994. Adaptive mesh strategies for the spectral element method. Computer Methods in Applied Mechanics and Engineering, 116: 77-86.
38. McWilliams, J. 2008. Fluid dynamics at the margin of rotational control. Environmental Fluid Mechanics, 8: 441-449.
39. Mellor, G.L. and Yamada, T. 1982. Development of a turbulence closure model for geophysical fluid problems. Reviews of Geophysics, 30: 851-875.
40. Müller, P., McWilliams, J. and Molemaker, M. 2005. "Routes to dissipation in the ocean: the two-dimensional/three-dimensional turbulence conundrum". In Marine turbulence: theories, observations, and models. Results of the CARTUM project, Edited by: Baumert, H.Z., Simpson, J. and Sündermann, J. 397-405. Cambridge, UK: Cambridge University Press.
41. Munk, W. 2000. Spirals on the sea. Proceedings of the Royal Society: London A, 546: 1217-1280.
42. Ohlmann, J.C. 2005. GPD-cellular drifter technology for coastal observing system. Journal of Atmospheric and Oceanic Technology, 22: 1381-1388.
43. Okubo, A. 1970. Horizontal dispersion of floatable particles in vicinity of velocity singularities such as convergences. Deep-Sea Research, 17(3): 445-454.
44. Özgökmen, T. and Fischer, P. 2008. On the role of bottom roughness in overflows. Ocean Modelling, 20: 336-361.
45. Özgökmen, T., Fischer, P. and Johns, W. 2006. Product water mass formation by turbulent density currents from a high-order nonhydrostatic spectral element model. Ocean Modelling, 12: 237-267.
46. Özgökmen, T., Iliescu, T. and Fischer, P. 2009a. Large eddy simulation of stratified mixing in a three-dimensional lock-exchange system. Ocean Modelling, 26: 134-155.
47. Özgökmen, T., Iliescu, T. and Fischer, P. 2009b. Reynolds number dependence of mixing in a lock-exchange system from direct numerical and large eddy simulations. Ocean Modelling, 30: 190-206.
48. Özgökmen, T. 2007. Large eddy simulation of stratified mixing in two-dimensional dam-break problem in a rectangular enclosed domain. Ocean Modelling, 16: 106-140.
49. Özgökmen, T. 2011. Large eddy simulations of mixed layer instabilities and sampling strategies. Ocean Modelling, 39: 311-331.
50. Özgökmen, T.M. 2004a. Three-dimensional turbulent bottom density currents from a high-order nonhydrostatic spectral element model. Journal of Physical Oceanography, 34(9): 2006-2026.
51. Özgökmen, T.M. 2004b. Entrainment in bottom gravity currents over complex topography from three-dimensional nonhydrostatic simulations. Geophysical Research, Letters, 31 (L13212), doi: 10.1029/2004GL0 20186
52. Paduan, J. and Rosenfeld, L. 1996. Remotely sensed surface currents in Monterey Bay from shore based HF radar (Coastal Ocean Dynamics Application Radar). Journal of Geophysical Research, 101/C9, 20669-20686
53. Patera, A. 1984. A spectral element method for fluid dynamics: laminar flow in a channel expansion. Journal of Computational Physics, 54: 468-488.
54. Pattanayak, A. 2001. Characterizing the metastable balance between chaos and diffusion. Physica D, 148: 1-19.
55. Poje, A. 2010. Resolution dependent relative dispersion statistics in a hierarchy of ocean models. Ocean Modelling, 31: 36-50.
56. Sanford, T., Kelly, K. and Farmer, D. 2011. Sensing the ocean. Physics Today, February,: 24-28.
57. Schroeder, K. 2011. Relative dispersion in the liguro-provencal basin: from sub-mesoscale to mesoscale. Deep-Sea Research, Part I, 58: 861-882.
58. Scotti, A. and Mitran, S. 2008. An approximated method for the solution of elliptic problems in thin domains: application to nonlinear internal waves. Ocean Modelling, 25: 144-153.
59. Shay, L., Cook, T. and An, P. 2003. Submesoscale coastal ocean flows detected by very high frequency radar and autonomous underwater vehicles. Journal of Atmospheric and Oceanic Technology, 20: 1583-1600.
60. Shay, L. 2007. High-frequency radar mapping of surface currents using WERA. Journal of Atmospheric and Oceanic Technology, 24: 484-503.
61. Steward, R. and Joy, J. 1974. HF radio measurements of surface currents. Deep-Sea Research, 21: 1039-1049.
62. Sundaram, B., Poje, A. and Pattanayak, A. 2009. Persistent patterns and multifractality in fluid mixing. Physical Review E, 79: 066202
63. Sundermeyer, M. and Ledwell, J. 2001. Lateral dispersion over the continental shelf: analysis of dye release experiments. Journal of Geophysical Research, 106: 9603-9621.
64. Sundermeyer, M. 2007. Three-dimensional mapping of fluorescent dye using a scanning, depth-resolving airborne radar. Journal of Atmospheric and Oceanic Technology, 24: 1050-1065.
65. Thomas, L., Tandon, A. and Mahadevan, A. 2008. "Submesoscale processes and dynamics". In Ocean modeling in an Eddying Regime, Edited by: Hecht, M. and Hasume, H. 17-38. Washington, D.C., American Geophysical Union: Geophysical Monograph.
66. Umlauf, L. and Burchard, H. 2005. Second-order turbulence closure models for geophysical boundary layers. a review of recent work. Continental Shelf Research, 25: 795-827.
67. Vallis, G. 2006. Atmospheric and oceanic fluid dynamics, Cambridge, UK: Cambridge University Press.
68. Warner, J.C. 2005. Performance of four turbulence closure methods implemented using a generic length scale method. Ocean Modelling, 8: 81-113.
69. Webb, D., Simonetti, P. and Jones, C. 2001. SLOCUM: an underwater glider propelled by environmental energy. IEEE Journal of Oceanic Engineering, 26: 447-452.
70. Weiss, J. 1991. The dynamics of enstrophy transfer in 2-dimensional hydrodynamics. Physica D, 48(2-3): 273-294.
71. Wilcox, D. 1998. Turbulence modeling for CFD, 2nd ed, La Canada, CA: DCW Industries, Inc.
72. Wunsch, C. and Ferrari, R. 2004. Vertical mixing, energy, and the general circulation of the oceans. Annual Review of Fluid Mechanics, 36: 281-314.
73. Xu, X. 2006. Parameterization of gravity current entrainment for ocean circulation models using a high-order 3d nonhydrostatic spectral element model. Ocean Modelling, 14: 19-44.