Improving simulations of the upper ocean by inclusion of surface waves in the Mellor-Yamada turbulence scheme

[1] The Mellor-Yamada turbulence closure scheme, used in many ocean circulation models, is often blamed for overly high simulated surface temperature and overly low simulated subsurface temperature in summer due to insufficient vertical mixing. Surface waves can enhance turbulence kinetic energy and mixing of the upper ocean via wave breaking and nonbreaking-wave-turbulence interaction. The influences of wave breaking and wave-turbulence interaction on the Mellor-Yamada scheme and upper ocean thermal structure are examined and compared with each other using one-dimensional and three-dimensional ocean circulation models. Model results show that the wave-turbulence interaction can effectively amend the problem of insufficient mixing in the classic Mellor-Yamada scheme. The behaviors of the Mellor-Yamada scheme, as well as the simulated upper ocean thermal structure, are significantly improved by adding a turbulence kinetic energy production term associated with wave-turbulence interaction. In contrast, mixing associated with wave breaking alone seems insufficient to improve significantly the simulations as its effect is limited to the very near-surface layers. Therefore, the effects of wave-turbulence interaction on the upper ocean are much more important than those of wave breaking.

[1]  R. Payne,et al.  Albedo of the Sea Surface , 1972 .

[2]  P. A. Hwang,et al.  Enhanced dissipation of kinetic energy beneath surface waves , 1992, Nature.

[3]  Timothy P. Boyer,et al.  World ocean atlas 2001 : objective analyses, data statistics, and figures : CD-ROM documentation , 2002 .

[4]  Tal Ezer,et al.  On the seasonal mixed layer simulated by a basin‐scale ocean model and the Mellor‐Yamada turbulence scheme , 2000 .

[5]  O. M. Phillips,et al.  A note on the turbulence generated by gravity waves , 1961 .

[6]  Michael H. Freilich,et al.  Wind Stress Curl and Wind Stress Divergence Biases from Rain Effects on QSCAT Surface Wind Retrievals , 2004 .

[7]  Wei Wang,et al.  Wind Energy Input to the Surface Waves , 2004 .

[8]  S. Kitaigorodskii,et al.  Wave-Turbulence Interactions in the Upper Ocean. Part II. Statistical Characteristics of Wave and Turbulent Components of the Random Velocity Field in the Marine Surface Layer , 1983 .

[9]  Zhenya Song,et al.  A three-dimensional surface wave–ocean circulation coupled model and its initial testing , 2010 .

[10]  L. Kantha,et al.  On the effect of surface gravity waves on mixing in the oceanic mixed layer , 2004 .

[11]  M. Donelan.  Air‐Water Exchange Processes , 2013 .

[12]  George L. Mellor,et al.  One-Dimensional, Ocean Surface Layer Modeling: A Problem and a Solution , 2001 .

[13]  A. Blumberg,et al.  A Description of a Three‐Dimensional Coastal Ocean Circulation Model , 2013 .

[14]  H. Burchard.  Simulating the Wave-Enhanced Layer under Breaking Surface Waves with Two-Equation Turbulence Models , 2001 .

[15]  Fabrice Ardhuin,et al.  A global wave parameter database for geophysical applications. Part 1: Wave-current turbulence interaction parameters for the open ocean based on traditional parameterizations , 2008 .

[16]  L. Kantha,et al.  An improved mixed layer model for geophysical applications , 1994 .

[17]  Lingling Xu,et al.  A well‐mixed warm water column in the central Bohai Sea in summer: Effects of tidal and surface wave mixing , 2006 .

[18]  C. Paulson,et al.  Irradiance Measurements in the Upper Ocean , 1977 .

[19]  W. Large,et al.  Oceanic vertical mixing: a review and a model with a nonlocal boundary layer parameterization , 1994 .

[20]  Fangli Qiao,et al.  Wave‐turbulence interaction and its induced mixing in the upper ocean , 2010 .

[21]  C. Wunsch,et al.  Ocean Circulation Kinetic Energy: Reservoirs, Sources, and Sinks , 2009 .

[22]  E. F. Bradley,et al.  Bulk Parameterization of Air–Sea Fluxes: Updates and Verification for the COARE Algorithm , 2003 .

[23]  Mark A. Donelan,et al.  Oceanic Turbulence Dissipation Measurements in SWADE , 1996 .

[24]  Changlong Guan,et al.  Simulation of the ocean surface mixed layer under the wave breaking , 2005 .

[25]  J. Gemmrich,et al.  Near-Surface Turbulence in the Presence of Breaking Waves , 2004 .

[26]  Alexander V. Babanin,et al.  On the Existence of Water Turbulence Induced by Nonbreaking Surface Waves , 2009 .

[27]  K. Richards,et al.  Effects of lateral mixing on the mean state and eddy activity of an equatorial ocean , 2003 .

[28]  W. Melville,et al.  Laboratory measurements of deep-water breaking waves , 1990, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[29]  A. Blumberg,et al.  Wave Breaking and Ocean Surface Layer Thermal Response , 2004 .

[30]  Fabrice Veron,et al.  Measurements of Ocean Surface Turbulence and Wave-Turbulence Interactions (PREPRINT) , 2008 .

[31]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[32]  Fangli Qiao,et al.  An Experiment on the Nonbreaking Surface-Wave-Induced Vertical Mixing , 2010 .

[33]  F. Qiao,et al.  Wave‐induced mixing in the upper ocean: Distribution and application to a global ocean circulation model , 2004 .

[34]  J. N. Moum,et al.  Surface Wave–Turbulence Interactions. Scaling ϵ(z) near the Sea Surface , 1995 .

[35]  Miguel C. Teixeira,et al.  On the distortion of turbulence by a progressive surface wave , 2002, Journal of Fluid Mechanics.

[36]  Sw Mang,et al.  Modeling of the eddy viscosity by breaking waves , 2007 .

[37]  P. Martin.  Simulation of the mixed layer at OWS November and Papa with several models , 1985 .

[38]  Fabrice Ardhuin,et al.  On the Interaction of Surface Waves and Upper Ocean Turbulence , 2006 .

[39]  M. Banner,et al.  Modeling Wave-Enhanced Turbulence in the Ocean Surface Layer , 1994 .

[40]  R. Lukas,et al.  Observation of wave-enhanced turbulence in the near-surface layer of the ocean during TOGA COARE , 2003 .

[41]  Y. Noh.  Sensitivity to wave breaking and the Prandtl number in the ocean mixed layer model and its dependence on latitude , 2004 .

[42]  N. McFarlane,et al.  A New Second-Order Turbulence Closure Scheme for Modeling the Oceanic Mixed Layer , 1998 .

[43]  T. K. Cheung,et al.  The turbulent layer in the water at an air—water interface , 1988, Journal of Fluid Mechanics.

[44]  Caskey,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS I . THE BASIC EXPERIMENT , 1962 .

[45]  G. Mellor,et al.  Development of a turbulence closure model for geophysical fluid problems , 1982 .