Radiative transfer in ocean turbulence and its effect on underwater light field

Journal of Geophysical Research: Oceans

Volumn 117, Issue 3, 2012, Pages

  Xu, Zao ^a   Guo, Xin ^b   Shen, Lian ^b   Yue, Dick K P ^a  

^a Massachusetts Institute of Technology   (United States)

^b Johns Hopkins University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; MONTE CARLO METHODS; RADIATIVE TRANSFER; SURFACE WAVES; WATER WAVES;

CANONICAL PROBLEMS; DOWNWELLING IRRADIANCE; FLUID MOTIONS; HORIZONTAL VARIATION; INHERENT OPTICAL PROPERTIES; LIGHT FIELDS; MEAN VALUES; NATURAL LIGHT; OCEAN TURBULENCE; SALINITY FIELDS; SEA SURFACES; SIMULATION-BASED; SURFACE DEFORMATION; TURBULENCE EFFECT; TURBULENT SHEAR FLOWS; UPPER OCEAN; VERTICAL PROFILE; VERTICAL STRUCTURES; WAVE-TURBULENCE INTERACTION;

SALINITY MEASUREMENT;

CANONICAL ANALYSIS; DEFORMATION; FLUID DYNAMICS; MONTE CARLO ANALYSIS; RADIATIVE TRANSFER; SEA SURFACE SALINITY; SEA SURFACE TEMPERATURE; SHEAR FLOW; TURBULENCE; UPPER OCEAN;

EID: 84859126217     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2011JC007351     Document Type: Article

References (69)

1. Adams, J. T., and D. J. Gray (2011), Neutral points in an atmosphere-ocean system. 2: Downwelling light field, Appl. Opt., 50, 335-345.
2. Austin, R. W., and G. Halikas (1976), The index of refraction of seawater, SIO Ref. 76-1, Scripps Inst. of Oceanogr., La Jolla, Calif.
3. Bal, G. (2006), Radiative transfer equations with varying refractive index: A mathematical perspertive, J. Opt. Soc. Am. A, 23, 1639-1643.
4. Bogucki, D. J., J. A. Domaradzki, D. Stramski, and J. R. Zaneveld (1998), Comparison of near-forward light scattering on oceanic turbulence and particles, Appl. Opt., 37, 4669-4776.
5. Bogucki, D. J., J. A. Domaradzki, R. E. Ecke, and C. R. Truman (2004), Light scattering on oceanic turbulence, Appl. Opt., 43, 5662-5668.
6. Bogucki, D. J., J. A. Domaradzki, C. Anderson, H. W. Wijesekera, J. R. V. Zaneveld, and C. Moore (2007a), Optical measurement of rates of dissipation of temperature variance due to oceanic turbulence, Opt. Express, 15(12), 7224-7230. (Pubitemid 46908677)
7. Bogucki, D. J., J. Piskozub, M.-E. Carr, and G. D. Spiers (2007b), Monte Carlo simulation of propagation of a short light beam through turbulent oceanic flow, Opt. Express, 15(21), 13,988-13,996. (Pubitemid 47608610)
8. Born, M., and E. Wolf (1970), Principles of Optics, Oxford, U. K.
9. Bou-Zeid, E., C. Meneveau, and M. B. Parlange (2004), Large-eddy simulation of neutral atmospheric boundary layer flow over heterogeneous surfaces: Blending height and effective surface roughness, Water Resour. Res., 40, W02505, doi:10.1029/2003WR002475.
10. Bou-Zeid, E., C. Meneveau, and M. B. Parlange (2005), A scale-dependent Lagrangian dynamic model for large eddy simulation of complex turbulent flows, Phys. Fluids, 17, 025105, doi:10.1063/1.1839152. (Pubitemid 41199972)
11. Bricaud, A., M. Babin, A. Morel, and H. Claustre (1995), Variability in the chlorophyll-specific absorption coefficients of natural phytoplankton: Analysis and parameterization, J. Geophys. Res., 100, 13,321-13,332.
12. Chamecki, M., C. Meneveau, and M. B. Parlange (2008), A hybrid spectral/ finite-volume algorithm for large-eddy simulation of scalars in the atmospheric boundary layer, Boundary Layer Meteorol., 128, 473-484.
13. Chilton, F., D. D. Jones, and W. K. Talley (1969), Imaging properties of light scattered by the sea, J. Opt. Soc. Am., 59, 891-898.
14. Dera J., and D. Stramski (1986), Maximum effects of sunlight focusing under a wind-disturbed sea surface, Oceanologia, 23, 15-42.
15. Dimas, A. A., and Triantafyllou, G. S. (1994), Nonlinear interaction of shear flow with a free surface, J. Fluid Mech., 260, 211-246.
16. Duntley, S. Q. (1974), Underwater visbility and photography, in Optical Aspects of Oceanography, edited by N. G. Jerlov and E. S. Nielsen, pp. 135-149, Academic, New York.
17. Germano, M., U. Piomelli, P. Moin and W. H. Cabot (1991), A dynamic subgrid-scale eddy viscosity model, Phys. Fluids, 3, 1760-1765.
18. Gernez, P., and D. Antoine (2009), Field characterization of wave-induced underwater light field fluctuations, J. Geophys. Res., 114, C06025, doi:10.1029/2008JC005059.
19. Gilbert, G. D., and R. C. Honey (1972), Optical turbulence in the sea, in Underwater Photo-Optical Instrumentation Applications, Proc. SPIE, 24, 49-55.
20. Gordon, H. R., and A. Morel (1983), Remote Assessment of Ocean Color for Interpretation of Satellite Visible Imagery: A Review, Lecture Notes Coastal Estuarine Stud., vol. 4, 114 pp., Springer, New York.
21. Guo, X., and L. Shen (2009), On the generation and maintenance of waves and turbulence in simulations of free-surface turbulence, J. Comput. Phys., 228, 7313-7332.
22. Guo, X., and L. Shen (2010), Interaction of a deformable free surface with statistically steady homogeneous turbulence, J. Fluid Mech., 658, 33-62.
23. Haltrin, V. I. (1998), One-parameter model of seawater optical properties, paper presented at Ocean Optics XIV Conference, Off. of Nav. Res., Kailua-Kona, Hawaii.
24. Handler, R. A., J. R. Saylor, R. I. Leighton, and A. L. Rovelstad (1999), Transport of a passive scalar at a shear-free boundary in fully developed turbulent open channel flow, Phys. Fluids, 11, 2607-2625. (Pubitemid 129308718)
25. Hansen, D. V., and W. C. Thacker (1999), Estimation of salinity profiles in the upper ocean, J. Geophys. Res., 104, 7921-7933. (Pubitemid 29410080)
26. Honey, R. C., and G. P. Sorenson (1970), Optical absorption and turbulence-induced narrow-angle forward scatter in the sea, AGARD Conf. Proc., 77, 39.1-39.7.
27. Kermani, A., H. R. Khakpour, L. Shen, and T. Igusa (2011), Statistics of surface renewal of passive scalars in free-surface turbulence, J. Fluid Mech., 678, 379-416.
28. Khakpour, H. R., L. Shen, and D. K. P. Yue (2011), Transport of passive scalar in turbulent shear flow under a clean or surfactant-contaminated free surface, J. Fluid Mech., 670, 527-557.
29. Kim, J., and P. Moin (1985), Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comput. Phys., 59, 308-323.
30. Kopelevich, O. V. (1983), Small-parametric model of the optical properties of seawater, in Ocean Optics I, pp. 208-234, Nauka, Moscow.
31. Korotkova, O., and N. Farwell (2011), Effect of oceanic turbulence on polarization of stochastic beams, Opt. Commun., 284, 1740-1746.
32. Lewis, M. R., J. J. Cullen, and T. Platt (1983), Phytoplankton and thermal structure in the upper ocean: Consequences of nonuniformity in chlorophyll profile, J. Geophys. Res., 88, 2565-2570.
33. Lilly, D. K. (1992), A proposed modification of the German subgrid-scale closure method, Phys. Fluids, 4, 633-635.
34. Lu, W., L. Liu, and J. Sun (2006), Influence of temperature and salinity fluctuations on propagation behaviour of partially coherent beams in oceanic turbulence, J. Opt. A, 8, 1052-1058. (Pubitemid 46222324)
35. McNeil, G. T. (1977), Metrical fundamentals of underwater lens system, Opt. Eng., 16, 128-139.
36. Meneveau, C., and J. Katz (2000), Scale-invariance and turbulence models for large-eddy simulation, Annu. Rev. Fluid. Mech., 32, 1-32.
37. Meneveau, C., T. S. Lund, and W. H. Cabot (1996), A Lagrangian dynamic subgrid-scale model of turbulence, J. Fluid Mech., 319, 353-385.
38. Mobley, C. D. (1994), Light and Water: Radiative Transfer in Natural Water, Academic, San Diego, Calif.
39. Morel, A. (1991), Light and marine photosynthesis: A spectral model with geochemical and climatological implications, Prog. Oceanogr., 26, 263-306.
40. Morel, A., and L. Prieur (1977), Analysis of variations in oceann color, Limnol. Oceanogr., 22, 709-722.
41. Nikishov, V. V., and V. I. Nikishov (2000), Spectrum of turbulent fluctuations of the sea-water refraction index, Int. J. Fluid Mech. Res., 27, 82-98.
42. Pegau, W. S., D. Gray, and J. R. V. Zaneveld (1997), Absorption and attenuation of visible and near-infrared light in water: Dependence on temperature and salinity, Appl. Opt., 36, 6035-6046. (Pubitemid 28409678)
43. Petzold, T. J. (1972), Volume scattering functions for selected ocean water, SIO Ref. 72-78, Scripps Inst. of Oceanogr., La Jolla, Calif.
44. Pope, R. M., and E. S. Fry (1997), Absorption spectrum (380-700 nm) of pure water. II. Integrating cavity measurements, Appl. Opt., 36, 8710-8722.
45. Porté-Agel, F., C. Meneveau, and M. B. Parlange (2000), A scaledependent dynamic model for large-eddy simulation: Application to a neutral atmospheric boundary layer, J. Fluid Mech., 415, 261-284.
46. Premaratne, M., E. Premaratne, and A. J. Lowery (2005), The photon transport equation for turbid biological media with spatially varying isotropic refractive index, Opt. Express, 13, 389-399. (Pubitemid 40224912)
47. Quan, X., and E. S. Fry (1995), Empirical equation for the index of refraction of seawater, Appl. Opt., 34, 3477-3480. (Pubitemid 26443689)
48. Sagaut, P. (2006), Large Eddy Simulation for Incompressible Flows, Springer, New York.
49. Shen, L., and D. K. P. Yue (2001), Large-eddy simulation of free-surface turbulence, J. Fluid Mech., 440, 75-116. (Pubitemid 32739690)
50. Shen, L., G. S. Triantafyllou, and D. K. P. Yue (2000), Turbulent diffusion near a free surface, J. Fluid Mech., 407, 145-166.
51. Shen, L., G. S. Triantafyllou, and D. K. P. Yue (2001), Mixing of a passive scalar near a free surface, Phys. Fluids, 13, 913-926. (Pubitemid 34159637)
52. Shen, L., D. K. P. Yue, and G. S. Triantafyllou (2004), Effect of surfactants on free-surface turbulent flows, J. Fluid Mech., 506, 79-115. (Pubitemid 38673017)
53. Shen, M., Z. Xu, and D. K. P. Yue (2011), A model for the probability density function of downwelling irradiance under ocean waves, Opt. Express, 19(18), 17,528-17,538.
54. Shendeleva, M. L., and J. A. Molloy (1999), Scaling property of the diffusion equation for light in a turbid medium with varying refractive index, J. Opt. Soc. Am. A, 24, 2902-2910.
55. Skamarock, W. C. (2006), Positive-definite and monotonic limiters for unrestricted-time-step transport schemes, Mon. Weather Rev., 134, 2241-2250. (Pubitemid 44275535)
56. Skamarock, W. C., and M. L. Weisman (2009), The impact of positivedefinite moisture transport on NWP precipitation forecasts, Mon. Weather Rev., 137, 488-494.
57. Smagorinsky, J. (1963), General circulation experiments with the primitive equations. I. The basic experiment, Mon. Weather Rev., 91, 99-163.
58. Snyder R. L., and J. Dera (1970), Wave-induced light-field fluctuations in sea, J. Opt. Soc. Am. B, 60(8), 1072-1083.
59. Stramski, D., and L. Legendre (1992), Laboratory simulation of light focusing by water usrface waves, Mar. Biol., 114, 341-348.
60. Triantafyllou, G. S., and A. A. Dimas (1989), Interaction of twodimensional seperated flows with a free surface at low Froude numbers, Phys. Fluids, 1, 1813-1821.
61. Tualle, J.-M., and E. Tinet (2003), Derivation of the radiative transfer equation for scattering media with a spatially varying refractive index, Opt. Commun., 228, 33-38.
62. Walker, R. E. (1994), Marine Light Field Statistics, Wiley-Interscience, Hoboken, N. J.
63. Wang, H., W. C. Skamarock, and G. Feingold (2009), Evaluation of scalar advection schemes in the advanced research WRF model using largeeddy simulations of aerosol-cloud interactions, Mon. Weather Rev., 137, 2547-2558.
64. Yang, D., and L. Shen (2011a), Simulation of viscous flows with undulatory boundaries: Part I. Basic solver, J. Comput. Phys., 230, 5488-5509.
65. Yang, D., and L. Shen (2011b), Simulation of viscous flows with undulatory boundaries: Part II. Coupling with other solvers for two-fluid computation, J. Comput. Phys., 230, 5510-5531.
66. You Y., D. Stramski, M. Darecki, and G. W. Kattawar (2009), Modeling of wave-induced irradiance fluctuations at near-surface depths in the ocean: A comparison with measurements, Appl. Opt., 49(6), 1041-1053.
67. Zalesak, S. T. (1979), Fully multidimensional flux-corrected transport algorithms for fluids, J. Comput. Phys., 31, 335-362.
68. Zaneveld J. R. V., and P. A. Hwang (2001), The influence of coherent waves on the remotely sensed reflectance, Opt. Express, 9(6), 260-266.
69. Zhang, X., L. Hu, and M.-X. He (2009), Scattering by pure seawater: Effect of salinity, Opt. Express, 17, 5698-5710.