Surface Wave Effects in the NEMO Ocean Model: Forced and Coupled Experiments

The NEMO general circulation ocean model is extended to incorporate three physical processes related to ocean surface waves, namely the surface stress (modified by growth and dissipation of the oceanic wave field), the turbulent kinetic energy flux from breaking waves, and the Stokes-Coriolis force. Experiments are done with NEMO in ocean-only (forced) mode and coupled to the ECMWF atmospheric and wave models. Ocean-only integrations are forced with fields from the ERA-Interim reanalysis. All three effects are noticeable in the extra-tropics, but the sea-state dependent turbulent kinetic energy flux yields by far the largest difference. This is partly because the control run has too vigorous deep mixing due to an empirical mixing term in NEMO. We investigate the relation between this ad hoc mixing and Langmuir turbulence and find that it is much more effective than the Langmuir parameterization used in NEMO. The biases in sea surface temperature as well as subsurface temperature are reduced, and the total ocean heat content exhibits a trend closer to that observed in a recent ocean reanalysis (ORAS4) when wave effects are included. Seasonal integrations of the coupled atmosphere-wave-ocean model consisting of NEMO, the wave model ECWAM and the atmospheric model of ECMWF similarly show that the sea surface temperature biases are greatly reduced when the mixing is controlled by the sea state and properly weighted by the thickness of the uppermost level of the ocean model. These wave-related physical processes were recently implemented in the operational coupled ensemble forecast system of ECMWF.

[1]  D. Dee,et al.  ERA‐20CM: a twentieth‐century atmospheric model ensemble , 2015 .

[2]  J. Thepaut,et al.  Toward a Consistent Reanalysis of the Climate System , 2014 .

[3]  Kai H. Christensen,et al.  Wave‐induced transport and vertical mixing of pelagic eggs and larvae , 2014 .

[4]  Saleh Abdalla,et al.  How robust is the recent strengthening of the Tropical Pacific trade winds? , 2014 .

[5]  Jean-Raymond Bidlot,et al.  Approximate Stokes Drift Profiles in Deep Water , 2014, 1406.5039.

[6]  G. Broström,et al.  Note on Coriolis-Stokes force and energy , 2014, Ocean Dynamics.

[7]  S. Griffies,et al.  Impacts of Parameterized Langmuir Turbulence and Nonbreaking Wave Mixing in Global Climate Simulations , 2014 .

[8]  H. Hersbach,et al.  On the exchange of momentum over the open ocean , 2013 .

[9]  M. Balmaseda,et al.  Evaluation of the ECMWF ocean reanalysis system ORAS4 , 2013 .

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

[11]  Klaus Wyser,et al.  EC-Earth V2.2: description and validation of a new seamless earth system prediction model , 2012, Climate Dynamics.

[12]  Luigi Cavaleri,et al.  Wind Waves in the Coupled Climate System , 2012 .

[13]  Christophe Maisondieu,et al.  Advances in search and rescue at sea , 2012, Ocean Dynamics.

[14]  P. Janssen.  Ocean wave effects on the daily cycle in SST , 2012 .

[15]  Adrian Hines,et al.  A global perspective on Langmuir turbulence in the ocean surface boundary layer , 2012 .

[16]  L. Oey,et al.  The Stokes drift and wave induced-mass flux in the North Pacific , 2012 .

[17]  Xiaolan L. Wang,et al.  Advancing Wind-Waves Climate Science , 2012 .

[18]  Oyvind Breivik,et al.  An operational search and rescue model for the Norwegian Sea and the North Sea , 2011, 1111.1102.

[19]  J. Thepaut,et al.  The ERA‐Interim reanalysis: configuration and performance of the data assimilation system , 2011 .

[20]  A. Sterl,et al.  EC-Earth A Seamless earth-System Prediction Approach in Action , 2010 .

[21]  J. Polton.  A wave averaged energy equation: Comment on “global estimates of wind energy input to subinertial motions in the Ekman-Stokes layer” by Bin Liu, Kejian Wu and Changlong Guan , 2009 .

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

[23]  Gary B. Brassington,et al.  APPLICATIONS OF GODAE OCEAN CURRENT FORECASTS TO SEARCH AND RESCUE AND SHIP ROUTING , 2009 .

[24]  S. Belcher,et al.  Characteristics of Langmuir Turbulence in the Ocean Mixed Layer , 2009 .

[25]  George Gabriel Stokes,et al.  On the theory of oscillatory waves , 2009 .

[26]  Isaac Ginis,et al.  The Effect of Wind-Wave-Current Interaction on Air-Sea Momentum Fluxes and Ocean Response in Tropical Cyclones , 2009 .

[27]  Luigi Cavaleri,et al.  Wave Modelling - The State of the Art , 2007 .

[28]  P. Janssen,et al.  Sea-State-Dependent Momentum Fluxes for Ocean Modeling , 2007 .

[29]  S. Elgar.  Waves in Oceanic and Coastal Waters , 2007 .

[30]  S. Belcher,et al.  Langmuir turbulence and deeply penetrating jets in an unstratified mixed layer , 2007 .

[31]  M. Huddleston,et al.  Quality control of ocean temperature and salinity profiles — Historical and real-time data , 2007 .

[32]  Alexander V. Babanin,et al.  On a wave‐induced turbulence and a wave‐mixed upper ocean layer , 2006 .

[33]  Fabrice Ardhuin,et al.  Drift and mixing under the ocean surface: A coherent one-dimensional description with application to unstratified conditions , 2006 .

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

[35]  A. Sterl,et al.  The ERA‐40 re‐analysis , 2005 .

[36]  S. Belcher,et al.  The Role of Wave-Induced Coriolis–Stokes Forcing on the Wind-Driven Mixed Layer , 2005 .

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

[38]  J. McWilliams,et al.  The oceanic boundary layer driven by wave breaking with stochastic variability. Part 1. Direct numerical simulations , 2004, Journal of Fluid Mechanics.

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

[40]  L. Axell.  Wind‐driven internal waves and Langmuir circulations in a numerical ocean model of the southern Baltic Sea , 2002 .

[41]  E. Skyllingstad,et al.  Nonlocal fluxes and Stokes drift effects in the K-profile parameterization , 2002 .

[42]  Thomas M. Smith,et al.  An Improved In Situ and Satellite SST Analysis for Climate , 2002 .

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

[44]  H. Tolman,et al.  Development and Implementation of Wind-Generated Ocean Surface Wave Modelsat NCEP , 2002 .

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

[46]  James C. McWilliams,et al.  Vertical Mixing by Langmuir Circulations , 2000 .

[47]  James C. McWilliams,et al.  The Wave-Driven Ocean Circulation , 1999 .

[48]  N. Booij,et al.  A third‐generation wave model for coastal regions: 2. Verification , 1999 .

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

[50]  M. Maqueda,et al.  Sensitivity of a global sea ice model to the treatment of ice thermodynamics and dynamics , 1997 .

[51]  J. McWilliams,et al.  Langmuir turbulence in the ocean , 1997, Journal of Fluid Mechanics.

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

[53]  Albert J. Williams,et al.  Estimates of Kinetic Energy Dissipation under Breaking Waves , 1996 .

[54]  P. Craig.  Velocity profiles and surface roughness under breaking waves , 1996 .

[55]  Eric D. Skyllingstad,et al.  An ocean large‐eddy simulation of Langmuir circulations and convection in the surface mixed layer , 1995 .

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

[57]  Bruno Blanke,et al.  Variability of the Tropical Atlantic Ocean Simulated by a General Circulation Model with Two Different Mixed-Layer Physics , 1993 .

[58]  P. Janssen.  Quasi-linear Theory of Wind-Wave Generation Applied to Wave Forecasting , 1991 .

[59]  Hendrik L. Tolman,et al.  A Third-Generation Model for Wind Waves on Slowly Varying, Unsteady, and Inhomogeneous Depths and Currents , 1991 .

[60]  Philippe Gaspar,et al.  A simple eddy kinetic energy model for simulations of the oceanic vertical mixing: Tests at Station Papa and long-term upper ocean study site , 1990 .

[61]  Peter A. E. M. Janssen,et al.  Wave-induced stress and the drag of air flow over sea waves , 1989 .

[62]  R. Stull.  An Introduction to Boundary Layer Meteorology , 1988 .

[63]  Alastair D. Jenkins,et al.  Wind and Wave Induced Currents in a Rotating Sea with Depth-varying Eddy Viscosity , 1987 .

[64]  J. Weber.  Steady wind- and wave-induced currents in the open ocean , 1983 .

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

[66]  Jin Wu.  Oceanic Whitecaps and Sea State , 1979 .

[67]  K. Hasselmann.  Wave‐driven inertial oscillations , 1970 .

[68]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[69]  H. Charnock.  Wind stress on a water surface , 1955 .

[70]  Kristian Mogensen,et al.  712 Air-Sea Interaction and Surface Waves , 2013 .

[71]  S. Keeley,et al.  Coupling of the NEMO and IFS models in a single executable , 2012 .

[72]  Kristian Mogensen,et al.  The NEMOVAR ocean data assimilation system as implemented in the ECMWF ocean analysis for System 4 , 2012 .

[73]  Advancing Wind-Waves Climate Science The COWCLIP Project , 2012 .

[74]  Zhenya Song,et al.  Improving simulations of the upper ocean by inclusion of surface waves in the Mellor-Yamada turbulence scheme , 2011 .

[75]  Alexander V. Babanin,et al.  Wave-induced upper-ocean mixing in a climate model of intermediate complexity , 2009 .

[76]  M. Maqueda,et al.  An elastic-viscous-plastic sea ice model formulated on Arakawa B and C grids , 2009 .

[77]  P. Janssen.  Air-sea interaction through waves , 2009 .

[78]  Øyvind Breivik,et al.  Forecasting the Drift of Objects and Substances in the Ocean , 2006 .

[79]  F. Ardhuin.  The Interaction of Ocean Waves and Wind , 2005 .

[80]  L. Kantha,et al.  Langmuir cells and mixing in the upper ocean , 2005 .

[81]  P. Janssen.  The Interaction of Ocean Waves and Wind , 2004 .

[82]  J. Bidlot,et al.  Impact of the sea state on the atmosphere and ocean , 2004 .

[83]  Ecmwf Newsletter,et al.  EUROPEAN CENTRE FOR MEDIUM-RANGE WEATHER FORECASTS , 2004 .

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

[85]  Hendrik,et al.  NCEP NOTES Development and Implementation of Wind-Generated Ocean Surface Wave Models at NCEP* , 2002 .

[86]  S. Pope.  Turbulent Flows: FUNDAMENTALS , 2000 .