A new second-order turbulence closure scheme for modeling the oceanic mixed layer

Journal of Physical Oceanography

Volumn 28, Issue 8, 1998, Pages 1624-1641

  D'Alessio, S J D ^a,b   Abdella, K ^a,c   Mcfarlane, N A ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

^c TRENT UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELING; MIXING LAYER; TURBULENCE;

CLOSURE; MIXED LAYER; MODELING; TURBULENCE;

EID: 0032443492     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0485(1998)028<1624:ANSOTC>2.0.CO;2     Document Type: Article

References (62)

1. Abdella, K., and N. McFarlane, 1997: A new second-order turbulence closure scheme for the planetary boundary layer. J. Atmos. Sci., 54, 1850-1867.
2. Agrawal, Y. C., E. A. Terray, M. A. Donelan, P. A. Hwang, A. J. Williams, W. Drennan, K. Kahm, and S. Kitaigorodskii, 1992: Enhanced dissipation of kinetic energy beneath breaking waves. Nature, 359, 219-220.
3. André, J. C., and P. Lacarrère, 1985: Mean and turbulent structures of the oceanic surface layer as determined from one-dimensional, third-order simulations. J. Phys. Oceanogr., 15, 121-132.
4. _, G. DeMoor, P. Lacarrère, G. Therry, and R. du Vachat, 1978: Modelling the 24-hr evolution of the mean and turbulent structures of the planetary boundary layer. J. Atmos. Sci., 35, 1861-1883.
5. Anis, A., and J. N. Moum, 1992: The superadiabatic surface layer of the ocean during convection. J. Phys. Oceanogr., 22, 1221-1227.
6. Ball, F. K., 1960: Control of inversion height by surface heating. Quart. J. Roy. Meteor. Soc., 86, 483-494.
7. Beatty, W. H., 1977: Variability of oceanographic conditions at ocean weather stations in the North Atlantic and North Pacific Oceans. NAVOCEANO Tech. Note 3700-67-77, U.S. Naval Oceanographic Office, Washington, D.C., 100 pp.
8. Blackadar, A. K., 1962: The vertical distribution of wind and turbulent exchange in a neutral atmosphere. J. Geophys. Res., 67, 3095-3102.
9. Bougeault, P., and P. Lacarrère, 1989: Parameterization of orography-induced turbulence in a meso-beta scale model. Mon. Wea. Rev., 117, 1872-1890.
10. Craig, P. D., and M. L. Banner, 1994: Modeling wave-enhanced turbulence in the ocean surface layer. J. Phys. Oceanogr., 24, 2546-2559.
11. Craik, A. D. D., and S. Leibovich, 1976: A rational model for Langmuir circulations. J. Fluid Mech., 73, 401-426.
12. Dorman, C. E., C. A. Paulson, and W. H. Quinn, 1974: An analysis of 20 years of meteorological and oceanographic data from ocean station N. J. Phys. Oceanogr., 4, 645-653.
13. Drennan, W. M., M. A. Donelan, E. A. Terray, and K. B. Katsaros, 1996: Oceanic turbulence dissipation measurements in SWADE. J. Phys. Oceanogr., 26, 808-815.
14. Friedrich, H., and S. Levitus, 1972: An approximation to the equation of state for seawater, suitable for numerical ocean models. J. Phys. Oceanogr., 2, 514-517.
15. Gargett, A. E., 1984: Vertical eddy diffusivity in the ocean interior. J. Mar. Res., 42, 359-393.
16. _, 1988: The scaling of turbulence in the presence of stable stratification. J. Geophys. Res., 93, 5021-5036.
17. _, 1989: Ocean turbulence. Ann. Rev. Fluid Mech., 21, 419-451.
18. Garwood, R. W., 1977: An oceanic mixed-layer model capable of simulating cyclic states. J. Phys. Oceanogr., 7, 455-471.
19. Gaspar, P., 1988: Modeling the seasonal cycle of the upper ocean. J. Phys. Oceanogr., 18, 161-180.
20. _, Y. Grégoris, and J.-M. Lefevre, 1990: A simple eddy kinetic energy model for simulations of the oceanic vertical mixing: Tests at station Papa and Long-Term Upper Ocean Study site. J. Geophys. Res., 95, 16 179-16 193.
21. Jerlov, N. G., 1976: Marine Optics. Elsevier, 231 pp.
22. Kantha, L. H., and C. A. Clayson, 1994: An improved mixed layer model for geophysical applications. J. Geophys. Res., 99, 25 235-25 266.
23. Klein, P., and M. Coantic, 1981: A numerical study of turbulent processes in the marine upper layers. J. Phys. Oceanogr., 11, 849-863.
24. Kolmogorov, A. N., 1942: The equation of turbulent motion in an incompressible fluid. Izv. Akad. Nauk. SSSR, Ser. Phys., 6, 56-58.
25. Kraus, E. B., and J. S. Turner, 1967: A one-dimensional model of the seasonal thermocline. Part II. The general theory and its consequences. Tellus, 19, 98-105.
26. Kundu, P. K., 1980: A numerical investigation of mixed-layer dynamics. J. Phys. Oceanogr., 10, 220-236.
27. _, 1981: Self-similarity in stress-driven entrainment experiments. J. Geophys. Res., 86, 1979-1988.
28. Langmuir, I., 1938: Surface motion of water induced by wind. Science, 87, 119-123.
29. Large, W. G., J. C. McWilliams, and S. C. Doney, 1994: Oceanic vertical mixing: A review and a model with a nonlocal boundary layer parameterization. Rev. Geophys., 32, 363-403.
30. Leibovich, S., 1977: On the evolution of the system of wind drift currents and Langmuir circulations in the ocean. Part 1. Theory and averaged current. J. Fluid Mech., 79, 715-743.
31. _, 1983: The form and dynamics of Langmuir circulations. Ann. Rev. Fluid Mech., 15, 391-427.
32. _, and K. Radhakrishnan, 1977: On the evolution of the system of wind drift currents and Langmuir circulations in the ocean. Part 2. Structure of the Langmuir vortices. J. Fluid Mech., 80, 481-507.
33. Li, M., and C. Garrett, 1993: Cell merging and the jet/downwelling ratio in Langmuir circulation. J. Mar. Res., 51, 737-769.
34. _, and _, 1995: Is Langmuir circulation driven by surface waves or cooling? J. Phys. Oceanogr., 25, 64-76.
35. _, and _, 1997: Mixed layer deepening due to Langmuir circulation. J. Phys. Oceanogr., 27, 121-132.
36. _, K. Zahariev, and C. Garrett, 1995: Role of Langmuir circulation in the deepening of the ocean surface mixed layer. Science, 270, 1955-1957.
37. Martin, P. J., 1985: Simulation of the mixed layer at OWS November and Papa with several models. J. Geophys. Res., 90, 903-916.
38. _, 1986: Testing and comparison of several mixed-layer models. Naval Oceanographic Research and Development Agency (NORDA) Rep. 143, Naval Research Laboratory, Stennis Space Center, Mississippi, 27 pp.
39. McWilliams, J. C., P. P. Sullivan, and C.-H. Moeng, 1997: Langmuir turbulence in the ocean. J. Fluid Mech., 334, 1-30.
40. Mellor, G. L., 1989: Retrospect on ocean boundary layer modelling and second moment closure. Proc. Fifth Aha Huliko'a Hawaiian Winter Workshop, Honolulu, HI, Hawaii Institute of Geophysics, 251-272.
41. _, and T. Yamada, 1974: A hierarchy of turbulence closure models for planetary boundary layers. J. Atmos. Sci., 31, 1791-1806.
42. _, and P. A. Durbin, 1975: The structure and dynamics of the ocean surface mixed layer. J. Phys. Oceanogr., 5, 718-728.
43. _, and T. Yamada, 1982: Development of a turbulent closure model for geophysical fluid problems. Rev. Geophys. Space Phys., 20, 851-875.
44. Melville, W. K., 1996: The role of surface-wave breaking in air-sea interaction. Ann. Rev. Fluid Mech., 28, 279-321.
45. Moeng, C.-H., and J. C. Wyngaard, 1986: An analysis of closures for pressure-scalar covariances in the convective boundary layer. J. Atmos. Sci., 43, 2499-2513.
46. Niiler, P. P., 1975: Deepening of the wind-mixed layer. J. Mar. Res., 33, 405-422.
47. _, and E. B. Kraus, 1977: One-dimensional models of the upper ocean. Modelling and Prediction of the Upper Layers of the Ocean, E. B. Kraus, Ed., Pergamon, 143-172.
48. Pollard, R. T., 1977: Observations and theories of Langmuir circulations and their role in near surface mixing. A Voyage of Discovery: George Deacon 70th Anniversary Volume, M. Angel, Ed., Pergamon, 235-251.
49. _, P. B. Rhines, and R. O. R. Y. Thompson, 1973: The deepening of the wind-mixed layer. Geophys. Fluid Dyn., 3, 381-404.
50. Price, J. E, R. A. Weller, and R. Pinkel, 1986: Diurnal cycling: observations and models of the upper ocean response to diurnal heating, cooling, and wind mixing. J. Geophys. Res., 91, 8411-8427.
51. Reed, R. K., 1977: On estimating insolation over the ocean. J. Phys. Oceanogr., 7, 482-485.
52. Rotta, J. C., 1951: Statistische theorie nichthomogener turbulenz. Z. Phys., 129, 547-572.
53. Skyllingstad, E. D., and D. W. Denbo, 1995: An ocean large-eddy simulation of Langmuir circulation in the surface mixed layer. J. Geophys. Res., 100, 8501-8522.
54. Stull, R. B., 1976: The energetics of entrainment across a density surface. J. Atmos. Sci., 33, 1260-1267.
55. Tabata, S., 1964: Insolation in relation to cloud amount and sun's altitude. Studies on Oceanography, Y. Kozo, Ed., University of Washington Press, 202-210.
56. _, 1965: Variability of oceanographic conditions at ocean station "P" in the northeast Pacific Ocean. Trans. Roy. Soc. Canada, Vol. III(Ser. IV), 367-418.
57. Tandon, A., and S. Leibovich, 1995: Simulations of three-dimensional Langmuir circulation in water of constant density. J. Geophys. Res., 100, 22 613-22 623.
58. Terray, E. A., M. A. Donelan, Y. C. Agrawal, W. M. Drennan, K. K. Kahma, A. J. Williams III, P. A. Hwang, and S. A. Kitaigorodskii, 1996: Estimates of kinetic energy dissipation under breaking waves, J. Phys. Oceanogr., 26, 792-807.
59. Therry, G., and P. Lacarrère, 1983: Improving the eddy-kinetic-energy model for planetary boundary-layer description. Bound.-Layer Meteor., 25, 63-88.
60. Vogelezang. D. H. P.. and A. A. M. Holtslag, 1998: Evaluation and model impacts of alternative boundary-layer height formulations. Bound.-Layer Meteor., in press.
61. Warn-Varnas, A. C., and S. A. Piacsek, 1979: An investigation of the importance of third-order correlations and choice of length scale in mixed layer modelling. Geophys. Astrophys. Fluid Dyn., 13, 225-243.
62. Weller, R. A., and J. F. Price, 1988: Langmuir circulation within the oceanic mixed layer. Deep-Sea Res., 35, 711-747.