Surface wave effects on water temperature in the Baltic Sea: simulations with the coupled NEMO-WAM model

Coupled circulation (NEMO) and wave model (WAM) system was used to study the effects of surface ocean waves on water temperature distribution and heat exchange at regional scale (the Baltic Sea). Four scenarios—including Stokes-Coriolis force, sea-state dependent energy flux (additional turbulent kinetic energy due to breaking waves), sea-state dependent momentum flux and the combination these forcings—were simulated to test the impact of different terms on simulated temperature distribution. The scenario simulations were compared to a control simulation, which included a constant wave-breaking coefficient, but otherwise was without any wave effects. The results indicate a pronounced effect of waves on surface temperature, on the distribution of vertical temperature and on upwelling’s. Overall, when all three wave effects were accounted for, did the estimates of temperature improve compared to control simulation. During the summer, the wave-induced water temperature changes were up to 1 °C. In northern parts of the Baltic Sea, a warming of the surface layer occurs in the wave included simulations in summer months. This in turn reduces the cold bias between simulated and measured data, e.g. the control simulation was too cold compared to measurements. The warming is related to sea-state dependent energy flux. This implies that a spatio-temporally varying wave-breaking coefficient is necessary, because it depends on actual sea state. Wave-induced cooling is mostly observed in near-coastal areas and is the result of intensified upwelling in the scenario, when Stokes-Coriolis forcing is accounted for. Accounting for sea-state dependent momentum flux results in modified heat exchange at the water-air boundary which consequently leads to warming of surface water compared to control simulation.

[1]  Simulating wave-surge interaction in a non-tidal bay during cyclone Gudrun in January 2005 , 2012, 2012 IEEE/OES Baltic International Symposium (BALTIC).

[2]  L. Tuomi,et al.  Wave hindcast statistics in the seasonally ice-covered Baltic Sea , 2011 .

[3]  T. Soomere Wind wave statistics in Tallinn Bay , 2005 .

[4]  C. Donlon,et al.  The Operational Sea Surface Temperature and Sea Ice Analysis (OSTIA) system , 2012 .

[5]  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 .

[6]  L. Kantha,et al.  A note on Stokes production of turbulence kinetic energy in the oceanic mixed layer: observations in the Baltic Sea , 2010 .

[7]  R. He,et al.  Development of a Coupled Ocean-Atmosphere-Wave-Sediment Transport (COAWST) Modeling System , 2010 .

[8]  C. Fortelius,et al.  Wave modelling in archipelagos , 2014 .

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

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

[11]  T. Soomere,et al.  Wave conditions in the Baltic Proper and in the Gulf of Finland during windstorm Gudrun , 2008 .

[12]  Johannes Gemmrich,et al.  On the Energy Input from Wind to Surface Waves , 1994 .

[13]  K. Myrberg,et al.  Physical Oceanography of the Baltic Sea , 2009 .

[14]  J. Gemmrich Strong Turbulence in the Wave Crest Region , 2010 .

[15]  Kristian Mogensen,et al.  Surface Wave Effects in the NEMO Ocean Model: Forced and Coupled Experiments , 2015, 1503.07677.

[16]  Tarmo Soomere,et al.  Anisotropy of wind and wave regimes in the Baltic proper , 2003 .

[17]  E. Stanev,et al.  East Frisian Wadden Sea hydrodynamics and wave effects in an unstructured-grid model , 2015, Ocean Dynamics.

[18]  A. Pleskachevsky,et al.  Turbulent Mixing due to Surface Waves Indicated by Remote Sensing of Suspended Particulate Matter and Its Implementation into Coupled Modeling of Waves, Turbulence, and Circulation , 2011 .

[19]  Michael P. Hickey,et al.  An intense traveling airglow front in the upper mesosphere--lower thermosphere with characteristics , 2012 .

[20]  J. Backhaus,et al.  A climatological data set of temperature and salinity for the Baltic Sea and the North Sea , 1999 .

[21]  B. Ahrens,et al.  New coupled atmosphere-ocean-ice system COSMO-CLM/NEMO: assessing air temperature sensitivity over the North and Baltic Seas , 2014 .

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

[23]  H. Burchard,et al.  A generic length-scale equation for geophysical turbulence models , 2003 .

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

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

[26]  David J. Schwab,et al.  Modeling 1993–2008 climatology of seasonal general circulation and thermal structure in the Great Lakes using FVCOM , 2013 .

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

[28]  Hilde Haakenstad,et al.  A high‐resolution hindcast of wind and waves for the North Sea, the Norwegian Sea, and the Barents Sea , 2011 .

[29]  Modelling fetch-limited wave growth from an irregular shoreline , 2012 .

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

[31]  Shiyu Wang,et al.  Evaluation of the SMHI coupled atmosphere-ice-ocean model RCA4_NEMO , 2013 .

[32]  Aron Roland,et al.  The contribution of short-waves in storm surges: Two case studies in the Bay of Biscay , 2015 .

[33]  M. W. Stacey Simulation of the Wind-Forced Near-Surface Circulation in Knight Inlet: A Parameterization of the Roughness Length , 1999 .

[34]  L. Chambers Linear and Nonlinear Waves , 2000, The Mathematical Gazette.

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

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

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

[38]  198 ON THE THEORY OF OSCILLATORY WAVES , 2022 .

[39]  L. Kantha,et al.  Erratum to: A note on stokes production of turbulence kinetic energy in the oceanic mixed layer: observations in the Baltic Sea , 2010 .

[40]  Anna Rutgersson,et al.  Investigating the effect of a wave-dependent momentum flux in a process oriented ocean model , 2009 .

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

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

[43]  Marcel Zijlema,et al.  Modeling hurricane waves and storm surge using integrally-coupled, scalable computations , 2011 .

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

[45]  Øyvind Breivik,et al.  Wave Extremes in the Northeast Atlantic , 2012 .

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

[47]  Guan-Yu Chen,et al.  Observed near‐surface currents under high wind speeds , 2012 .

[48]  H. Kapitza,et al.  Interaction of waves, currents and tides, and wave-energy impact on the beach area of Sylt Island , 2009 .

[49]  Flow, waves and water exchange in the Suur Strait, Gulf of Riga, in 2008 , 2011 .

[50]  H. Meier,et al.  Simulated halocline variability in the Baltic Sea and its impact on hypoxia during 1961–2007 , 2013 .

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

[52]  Ruoying He,et al.  Investigation of hurricane Ivan using the coupled ocean–atmosphere–wave–sediment transport (COAWST) model , 2014, Ocean Dynamics.

[53]  M. Longuet-Higgins,et al.  Radiation stress and mass transport in gravity waves, with application to ‘surf beats’ , 1962, Journal of Fluid Mechanics.

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

[55]  W. Rosenthal,et al.  Spectral wave modelling with non-linear dissipation: validation and applications in a coastal tidal environment , 2000 .

[56]  S. Leibovich,et al.  A rational model for Langmuir circulations , 1976, Journal of Fluid Mechanics.

[57]  Peter A. E. M. Janssen,et al.  The dynamical coupling of a wave model and a storm surge model through the atmospheric boundary layer , 1993 .

[58]  F. Qiao,et al.  Response of the equatorial basin‐wide SST to non‐breaking surface wave‐induced mixing in a climate model: An amendment to tropical bias , 2012 .

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

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

[61]  K. Myrberg,et al.  The performance of the parameterisations of vertical turbulence in the 3D modelling of hydrodynamics in the Baltic Sea , 2012 .

[62]  Jia Wang,et al.  Modeling effects of tidal and wave mixing on circulation and thermohaline structures in the Bering Sea: Process studies , 2010 .