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George Mellor Program in Atmospheric and Oceanic Sciences, Princeton University, Princeton, New Jersey

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Abstract

In response to the comments of Ardhuin et al., the formulation of Mellor has been revised. Solutions of the model equations are now consistent with known deep-water behavior and agree with the shallow water, analytical–numerical experiment put forward by Ardhuin et al.

Corresponding author address: Prof. George Mellor, AOS Program, Princeton University, Sayre Hall, Forrestal Campus, Princeton, NJ 08544-0710. glm@splash.princeton.edu

Abstract

In response to the comments of Ardhuin et al., the formulation of Mellor has been revised. Solutions of the model equations are now consistent with known deep-water behavior and agree with the shallow water, analytical–numerical experiment put forward by Ardhuin et al.

Corresponding author address: Prof. George Mellor, AOS Program, Princeton University, Sayre Hall, Forrestal Campus, Princeton, NJ 08544-0710. glm@splash.princeton.edu

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  • Ardhuin, F., A. D. Jenkins, and K. A. Belibassakis. 2008. Comments on “The three-dimensional current and surface wave equations”. J. Phys. Oceanogr. 38:13401350.

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  • Athanassoulis, G. A. and K. A. Belibassakis. 1999. A consistent couple-mode theory for the propagation of small amplitude water waves over variable bathymetry regions. J. Fluid Mech. 389:275301.

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  • Belibassakis, K. A., G. A. Athanassoulis, and T. P. Gerostathis. 2001. A coupled-mode model for the refraction-diffraction of linear waves over steep three-dimensional bathymetry. Appl. Ocean Res. 23:319336.

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  • Large, W. G., J. C. McWilliams, and S. C. Doney. 1994. Oceanic vertical mixing: A review and a model with nonlocal boundary layer parameterization. Rev. Geophys. 32:363403.

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  • Longuet-Higgins, M. S. and R. W. Stewart. 1960. Changes in the form of short gravity waves on long waves and tidal streams. J. Fluid Mech. 8:565583.

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  • Longuet-Higgins, M. S. and R. W. Stewart. 1964. Radiation stresses in water waves; a physical discussion with applications. Deep-Sea Res. 11:529562.

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  • Mellor, G. 2003. The three-dimensional current and surface wave equations. J. Phys. Oceanogr. 33:19781989.

  • Mellor, G. and T. Yamada. 1982. Development of a turbulent closure model for geophysical fluid problems. Rev. Geophys. Space Phys. 20:851875.

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  • Phillips, O. M. 1977. The Dynamics of the Upper Ocean. Cambridge University Press, 336 pp.

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