Abstract
This paper presents an assessment of the impact of the ocean circulation on modeled wave fields in the Southern Ocean, where a systematic positive bias of the modeled wave height against altimetry data has been reported. The inclusion of ocean currents in the wave model considerably reduces the positive bias of the simulated wave height for high southern latitudes. The decrease of wave energy in the presence of currents is almost exclusively related to the reduction of the relative wind, caused by an overall co-flowing current field associated with the Antarctic Circumpolar Current. Improvements of the model results are also found for the peak period and the mean period against a long-term moored buoy. At the mooring location, the effect of currents is greater for larger and longer waves, suggesting remotely generated swells are more influenced by the currents than local waves. However, an additional qualitative analysis using high-resolution currents in a finer grid nested to the global coarser grid shows that typical resolution of global hydrodynamic reanalysis is not sufficient to resolve mesoscale eddies, and as a consequence, the simulation of mesoscale wave patterns can be compromised. The results are also discussed in terms of the accuracy of forcing fields.
Similar content being viewed by others
References
Alves JHGM (2006) Numerical modeling of ocean swell contributions to the global wind-wave climate. Ocean Model 11:98–122. https://doi.org/10.1016/j.ocemod.2004.11.007
Ardhuin F, Rogers E, Babanin AV, Filipot J, Magne R, Roland A, Van der Westhuysen AJ, Queffeulou P, Lefevre J, Aouf L, Collard F (2010) Semiempirical dissipation source functions for ocean waves. part i: definition, calibration, and validation. J Phys Oceanogr 40:1917–1941. https://doi.org/10.1175/2010JPO4324.1
Ardhuin F, Tournadre J, Queffeulou P, Girard-Ardhuin F, Collard F (2011) Observation and parameterization of small icebergs: drifting breakwaters in the Southern Ocean. Ocean Modell 1:2–7. https://doi.org/10.1016/j.ocemod.2011.03.004
Ardhuin F, Roland A, Dumas F, Bennis A, Sentchev A, Forget P, Wolf J, Girard F, Osuna P, Benoit M (2012) Numerical wave modeling in conditions with strong currents: dissipation, refraction, and relative wind. J Phys Oceanogr 42:2101–2120. https://doi.org/10.1175/JPO-D-11-0220.1
Ardhuin F, Gille ST, Menemenlis D, Rocha CB, Rascle N, Chapron B, Gula J, Molemaker J (2017) Small-scale open ocean currents have large effects on wind wave heights. J Geophys Res. https://doi.org/10.1002/2016JC012413
Babanin AV, Hwung H, Shugan I, Roland A, der Westhuysen AV, Chawla A, Gautier C (2011) Nonlinear waves on collinear currents with horizontal velocity gradient. In: Proceedings of the 12th international workshop on wave hindcasting and forecasting and 3rd coastal hazards symposium, Big Island, Hawaii
Benetazzo A, Carniel S, Sclavo M, Bergamasco A (2013) Wave–current interaction: effect on the wave field in a semi-enclosed basin. Ocean Model 70:152–165. https://doi.org/10.1016/j.ocemod.2012.12.009
Bidlot JR, Abdalla S, Janssen P (2005) A revised formulation for ocean wave dissipation in cy25r1. Tech. Rep. 276, Research Dept. Tech. Rep. Memo. r60.9/JB/0516 ECMWF, Reading, United Kingdom
Bolaños R, Brown JM, Souza AJ (2014) Wave–current interactions in a tide dominated estuary. Cont Shelf Res 87:109–123. https://doi.org/10.1016/j.csr.2014.05.009
Bretherton FP, Garret CJR (1969) Wavetrains in inhomogeneous moving media. Philos Trans R Soc Lond A 302:529–554. https://doi.org/10.1098/rspa.1968.0034
Caires S, Sterl A (2003) Validation of ocean wind and wave data using triple collocation. J Geophys Res 108(C3):3098. https://doi.org/10.1029/2002JC001491
Chawla A, Kirby JT (2002) Monochromatic and random wave breaking at blocking points. J Geophys Res 107(C7). https://doi.org/10.1029/2001JC001042
Chawla A, Spindler D, Tolman H (2012) Validation of a thirty year wave hindcast using the climate forecast system reanalysis winds. Ocean Modelling https://doi.org/10.1016/j.ocemod.2012.07.005, http://linkinghub.elsevier.com/retrieve/pii/S1463500312001047
Chawla A, Spindler DM, Tolman HL (2013) Validation of a thirty year wave hindcast using the climate forecast system reanalysis winds. Ocean Model 70:189–206. https://doi.org/10.1016/j.ocemod.2012.07.005
Cotton PD, Carter DJT (1994) Cross calibration of TOPEX, ERS-1, and GEOSAT wave heights. J Geophys Res 99:25,025–25,033. https://doi.org/10.1029/94JC02131
Drennan WM, Shay LK (2006) On the variability of the fluxes of momentum and sensible heat. Boundary Layer Meteorol 119:81–107. https://doi.org/10.1007/s10546-005-9010-z
Durrant TH, Greenslade DJM, Simmonds I (2009) Validation of jason-1 and envisat remotely sensed wave heights. J Atmos Oceanic Technol 26:123–134. https://doi.org/10.1175/2008JTECHO598.1
Durrant TH, Greenslade DJM, Simmonds I (2013) The effect of statistical wind corrections on global wave forecasts. Ocean Model 70:116–131. https://doi.org/10.1016/j.ocemod.2012.10.006
Durrant T, Greenslade D, Hemar M, Trenham C (2014) A global hindcast focussed on the Central and South Pacific. CAWCR Technical Report No. 070. ISSN: 1835-9884, ISBN: 9781486303175. http://www.cawcr.gov.au/technical-reports/CTR_070.pdf
Hasselmann S, Allender KHJ, Barnett T (1985) Computation and parameterizations of the nonlinear energy transfer in a gravity-wave spectrum. part ii: parameterizations of the nonlinear energy transfer for application in wave models. J Phys Oceanogr 15:1378–1391. https://doi.org/10.1175/1520-0485(1985)015%A11378:CAPOTN>2.0.CO;2
Haus BK (2007) Surface current effects on the fetch-limited growth of wave energy. J Geophys Res 112(C03003). https://doi.org/10.1029/2006JC003924 https://doi.org/10.1029/2006JC003924
Hersbach H, Bidlot J (2008) The relevance of ocean surface current in the ecmwf analysis and forecast system. In: ECMWF Workshop on Ocean-atmosphere interactions, Camp Springs, MD, pp. 61–73, http://www.ecmwf.int/sites/default/files/elibrary/2009/9866-relevance-ocean-surface-current-ecmwf-analysis-and-forecast-system.pdf
Janssen PAEM (1991) Quasi-linear theory of wind wave generation applied to wave forecasting. J Phys Oceanogr 21:1631–1642. https://doi.org/10.1175/1520-0485(1991)021%A11631:QLTOWW>2.0.CO;2
Kenyon KE (1971) Wave refraction in ocean currents. Deep-Sea Res 18:1023–1034. https://doi.org/10.1016/0011-7471(71)90006-4
Komen GJ, Hasselmann S, Hasselmann K (1984) On the existence of a fully developed wind–sea spectrum. J Phys Oceanogr 14:1271–1285. https://doi.org/10.1175/1520-0485(1984)014%A11271:OTEOAF>2.0.CO;2
Kudryavtsev VN, Grodsky SA, Dulov VA, Bol’shakov AN (1995) Observation of wind waves in the Gulf Stream frontal zone. J Geophys Res 100(C10). https://doi.org/10.1029/95JC00425
Longuet-Higgins MS, Stewart RW (1961) The changes in amplitude of short gravity waves on steady non-uniform currents. J Fluid Mech 10(04):529–549
Mathiesen M (1987) Wave refraction by a current whirl. J Geophys Res 92:3905–3912. https://doi.org/10.1029/JC092iC04p03905
Meyers G (2008) The australian integrated marine observing system. J Atmos Oceanic Technol 3:80–81. https://doi.org/10.1175/JTECH-D-10-05033
Peregrine DH (1976) Interaction of water waves and currents. Adv Appl Mech 16:9–117
Queffeulou P, Croizé-fillon D (2014) Global altimeter SWH data set, Version 11, Tech. Rep., IFREMER, France. ftp://ftp.ifremer.fr/ifremer/cersat/products/swath/altimeters/waves/documentation/altimeter_wave_merge__11.pdf
Rapizo H, Babanin A, Gramstad O, Ghantous M (2014) Wave refraction on Southern Ocean eddies. In: Proceedings of the 19th Australasian Fluid Mechanics Conference, Melbourne, p 4p, http://people.eng.unimelb.edu.au/imarusic/proceedings/19/18.pdf
Rapizo H, Babanin AV, Schulz E, Hemer M, Durrant TH (2015) Observation of waves from a moored buoy in the Southern Ocean. Ocean Dynam 65:1275–1288. https://doi.org/10.1007/s10236-015-0873-3
Rapizo H, Waseda T, Babanin AV, Toffoli A (2016) Laboratory experiments on the effects of a variable current field on the spectral geometry of water waves. J Phys Oceanogr 46:2695–2717. https://doi.org/10.1175/JPO-D-16-0011.1
Rapizo H, Babanin AV, Provis D, Rogers WE (2017) Current-induced dissipation in spectral wave models. J Geophys Res 122:2205–2225. https://doi.org/10.1002/2016JC012367
Rascle N, Ardhuin F (2013) A global wave parameter database for geophysical applications. Part 2: model validation with improved source term parameterization. Ocean Modell 70:174–188. https://doi.org/10.1016/j.ocemod.2012.12.001, http://linkinghub.elsevier.com/retrieve/pii/S1463500312001709
Ris RC, Holthuijsen LH (1996) Spectral modelling of current wave-blocking. In: Proceedings of the 25th International Conference on Coastal Engineering, Orlando, pp 1247–1254
Saha S et al (2010) The ncep climate forecast system reanalysis. Bull Amer Meteor Soc 91:1015–1057. https://doi.org/10.1175/2010BAMS3001.1
Schulz E, Josey SA, Verein R (2012) First air-sea flux mooring measurements in the southern ocean. Geophys Res Lett 39:8. https://doi.org/10.1029/2012GL052290
Stopa JE, Cheung KF (2014) Intercomparison of wind and wave data from the ecmwf reanalysis interim and the ncep climate forecast system reanalysis. Ocean Model 75:65–83. https://doi.org/10.1016/j.ocemod.2013.12.006
Stopa JE, Ardhuin F, Babanin AV, Zieger S (2016) Comparison and validation of physical wave parameterizations in spectral wave models. Ocean Model 103:2–17. https://doi.org/10.1016/j.ocemod.2015.09.003
Tolman HL (1990) The influence of unsteady depths and currents of dides on wind-wave propagation in shelf seas. J Phys Oceanogr 20:1166–1174
Tolman HL (1991) A Third-Generation model for wind waves on slowly varying, unsteady, and inhomogeneous depths and currents. J Phys Oceanogr 21(6):782–797. https://doi.org/10.1175/1520-0485(1991)021%A10782:ATGMFW>2.0.CO;2
Tolman HL (2002) Validation of WAVEWATCH III version 1.15 for a global domain. Tech Note 213, NOAA/NWS/NCEP/MMAB
Van der Westhuysen AJ (2012) Spectral modeling of wave dissipation on negative current gradients. Coast Eng 68:17–30
Waseda T, Kinoshita T, Cavaleri L, Toffoli A (2015) Third-order resonant wave interactions under the influence of background current fields. J Fluid Mech 784:51–73. https://doi.org/10.1017/jfm.2015.578
White B, Fornberg B (1998) On the chance of freak waves at sea. J Fluid Mech 355:113–138
Zieger S, Babanin AV, Rogers WE, Young IR (2015) Observation-based source terms in the third-generation wave model wavewatch. Ocean Model 96:2–25. https://doi.org/10.1016/j.ocemod.2015.07.014
Acknowledgements
We would like to thank Dr. Qingxiang Liu for valuable discussions on the modeling results. We are thankful to the anonymous reviewers for all suggestions and criticisms.
Funding
Buoy data were sourced from the Integrated Marine Observing System (IMOS)—IMOS is a national collaborative research infrastructure, supported by Australian Government. Support from the Australian Victorian Government through the Victorian International Research Scholarship and from the Australia-China Joint Research Centre for Maritime Engineering is acknowledged by the first author. A.V. thanks support from the Australian Research Council through Discovery Grant DP130100227.
Author information
Authors and Affiliations
Corresponding author
Additional information
Responsible Editor: Sandro Carniel
Rights and permissions
About this article
Cite this article
Rapizo, H., Durrant, T.H. & Babanin, A.V. An assessment of the impact of surface currents on wave modeling in the Southern Ocean. Ocean Dynamics 68, 939–955 (2018). https://doi.org/10.1007/s10236-018-1171-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10236-018-1171-7