Abstract
In this paper, we propose a parallel data assimilation module based on ensemble optimal interpolation (EnOI). We embedded the method into the full-spectral third-generation wind-wave model, WAVEWATCH III Version 3.14, producing a wave data assimilation system. We present our preliminary experiments assimilating altimeter significant wave heights (SWH) using the EnOI-based wave assimilation system. Waters north of 15°S in the Indian Ocean and South China Sea were chosen as the target computational domain, which was two-way nested into the global implementation of the WAVEWATCH III. The wave model was forced by six-hourly ocean surface wind velocities from the cross-calibrated multi-platform wind vector dataset. The assimilation used along-track SWH data from the Jason-2 altimeter. We evaluated the effect of the assimilation on the analyses and hindcasts, and found that our technique was effective. Although there was a considerable mean bias in the control SWHs, a month-long consecutive assimilation reduced the bias by approximately 84% and the root mean-square error (RMSE) by approximately 65%. Improvements in the SWH RMSE for both the analysis and hindcast periods were more significant in July than January, because of the monsoon climate. The improvement in model skill persisted for up to 48 h in July. Furthermore, the SWH data assimilation had the greatest impact in areas and seasons where and when the sea-states were dominated by swells.
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References
Babovic V, Sannasiraj S A, Chan E s. (2005. Error correction of a predictive ocean wave model using local model approximation. J. Mar. Sys., 53 (1-4): 1–17.
Bauer E, Hasselmann S, Hasselmann K, Graber H C. 1992. Validation and assimilation of Seasat altimeter wave heights using the WAM wave model. J. Geophys. Res., 97 (C8): 12 671–12 682.
Bender L C, Glowacki T J. (1996. The assimilation of altimeter data into the Australian wave model. Aust. Meteorol. Mag., 45 (1): 41–48.
Burgers G, van Leeuwen P J, Evensen G. 1998. Analysis scheme in the ensemble Kalman filter. Mon. Wea. Rev., 126 (6): 1719–1724.
Chassignet E P, Hurlburt H E, Smedstad O M, Halliwell G R, Hogan P J, Wallcraft A J, Baraille R, Bleck R. 2007. The HYCOM (HYbrid coordinate ocean model) data assimilative system. J. Mar. Syst., 65 (1-4): 60–83.
Cooper M, Haines K. 1996. Altimetric assimilation with water property conservation. J. Geophys. Res. 101 (C1): 1059–1077.
Counillon F, Bertino L. 2009. Ensemble optimal interpolation: multivariate properties in the Gulf of Mexico. Tellus A, 61 (2): 296–308.
Cummings J A. 2005. Operational multivariate ocean data assimilation. Quart. J. Roy. Meteor. Soc., 131 (613): 3583–3604.
Dumont J P, Rosmorduc V, Picot N, Bronner E, Desai S, Bonekamp H, Figa J, Lillibridge J, Scharroo R. 2009. OSTM/Jason-2products handbook. CNES: SALP-MU-M-OP-15815-CN, EUMETSAT: EUM/OPS-JAS/MAN/08/0041, JPL: OSTM-29-1237, NOAA/NESDIS: Polar Series/OSTM J400.
Emmanouil G, Galanis G, Kallos G, Breivik L A, Heiberg H, Reistad M. 2007. Assimilation of radar altimeter data in numerical wave models: an impact study in two different wave climate regions. Ann. Geophys., 25 (3): 581–595.
Emmanouil G, Galanis G, Kallos G. 2010. A new methodology for using buoy measurements in sea wave data assimilation. Ocean Dynam., 60 (5): 1205–1218.
Emmanouil G, Galanis G, Kallos G. 2012. Combination of statistical Kalman filters and data assimilation for improving ocean waves analysis and forecasting. Ocean Modelling, 59-60: 11–23, http://dx.doi.org/10.1016/J. ocemod.2012.09.004.
Esteva D C. 1988. Evaluation of preliminary experiments assimilating Seasat significant wave heights into a spectral wave model. J. Geophys. Res., 93 (C11): 14 099–14 105.
Evensen G, van Leeuwen P J. (2000. An ensemble Kalman smoother for nonlinear dynamics. Mon. Wea. Rev., 8 (6): 1852–1862.
Evensen G. 1994. Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics. J. Geophys. Res., 99 (C5): 10 143–10 162.
Evensen G. 2003. The ensemble Kalman filter: theoretical formulation and practical implementation. Ocean Dynam., 53 (4): 343–367, http://dx.doi.org/10.1007/s10236-003-0036-9.
Evensen G. 2004. Sampling strategies and square root analysis schemes for the EnKF. Ocean Dynam., 54 (6): 539–560, http://dx.doi.org/10.1007/s10236-004-0099-2.
Fox D N, Teague W J, Barron C N, Carnes M R, Lee C M. 2002. The modular ocean data assimilation system (MODAS). J. Atmos. Ocean ic Technol., 19 (2): 240–252.
Fu W W, Zhu J, Yan C X. 2009. A comparison between 3DVAR and EnOI techniques for satellite altimetry data assimilation. Ocean Modelling, 26 (3-4): 206–216, http://dx.doi.org/10.1016/j.ocemod.2008.10.002.
Galanis G, Emmanouil G, Chu P C, Kallos G. 2009. A new methodology for the extension of the impact of data assimilation on ocean wave prediction. Ocean Dynam., 59 (3): 523–535.
Greenslade D J M, Schulz E W, Kepert J D, Warren G R. 2005. The impact of the assimilation of scatterometer winds on surface wind and wave forecasts. Journal of Atmospheric & Ocean Science, 10 (3): 261–287.
Greenslade D J M, Young I R. 2004. Background errors in a global wave model determined from altimeter data. J. Geophys. Res., 109 (C9): C09007, http://dx.doi.org/10.1029/2004JC002324.
Greenslade D J M, Young I R. 2005. The impact of inhomogenous background errors on a global wave data assimilation system. Journal of Atmospheric & Ocean Science, 10 (2): 61–93.
Greenslade D J M. 2001. The assimilation of ERS-2 significant wave height data in the Australian region. J. Mar. Sys., 28 (1-2): 141–160.
Guinehut S, Le Traon P Y, Larnicol G, Philipps S. (2004. Combining Argo and remote-sensing data to estimate the ocean three-dimensional temperature fields-a first approach based on simulated observations. J. Mar. Syst., 46 (1-4): 85–98.
Guo Y Y, Hou Y J, Zhang C M, Yang J. (2012. A background error covariance model of significant wave height employing Monte Carlo simulation. Chin. J. Ocean. Limnol., 30 (5): 814–821, http://dx.doi.org/10.1007/ s00343-012-1278-5.
Hasselmann S, Lionello P, Hasselmann K. 1997. An optimal interpolation scheme for the assimilation of spectral wave data. J. Geophys. Res., 102 (C7): 15 823–15 836.
Le Dimet F X, Talagrand O. 1986. Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects. Tellus A, 38 (2): 97–110.
Lionello P, Günther H, Hansen B. 1995. A sequential assimilation scheme applied to global wave analysis and prediction. J. Mar. Sys., 6 (1-2): 87–107.
Lionello P, Günther H, Janssen P A E M. 1992. Assimilation of altimeter data in a global third-generation wave model. J. Geophys. Res., 97 (C9): 14 453–14 474.
Martin M J, Hines A, Bell M J. (2007. Data assimilation in the FOAM operational short-range ocean forecasting system: a description of the scheme and its impact. Quart. J. Roy. Meteor. Soc., 133 (625): 981–995.
Oke P R, Allen J S, Miller R N, Egbert G D, Kosro P M. 2002. Assimilation of surface velocity data into a primitive equation coastal ocean model. J. Geophys. Res., 107 (C9), http://dx.doi.org/10.1029/2000JC000511.
Oke P R, Brassington G B, Griffin D A, Schiller A. 2008. The Bluelink ocean data assimilation system (BODAS). Ocean Modelling, 21 (1-2): 46–70.
Oke P R, Schiller A, Griffin D A, Brassington G B. 2005. Ensemble data assimilation for an eddy-resolving ocean model of the Australian region. Quart. J. Roy. Meteor. Soc., 131 (613): 3301–3311.
Sannasiraj S A, Babovic V, Chan E S. (2005. Local model approximation in the real time wave forecasting. Coastal Engineering, 52 (3): 221–236.
Sannasiraj S A, Babovic V, Chan E S. (2006. Wave data assimilation using ensemble error covariances for operational wave forecast. Ocean Modelling, 14 (1-2): 102–121.
Segschneider J, Anderson D L T, Vialard J, Balmaseda M, Stockdale T N, Troccoli A, Haines K. 2000. Initialization of seasonal forecasts assimilating sea level and temperature observations. J. Climate, 14 (22): 4292–4307.
Talagrand O, Courtier P. 1987. Variational assimilation of meteorological observations with the adjoint vorticity equation. I: theory. Quart. J. Roy. Meteor. Soc., 113 (478): 1311–1328.
Thomas J P. 1988. Retrieval of energy spectra from measured data for assimilation into a wave model. Quart. J. Roy. Meteor. Soc., 114 (481): 781–800.
Tolman H L. 2009. User manual and system documentation of WAVEWATCH III TM version 3.14.
Troccoli A, Haines K. 1999. Use of the temperature-salinity relation in a data assimilation context. J. Atmos. Ocean ic Technol., 16 (12): 2011–2025.
Voorrips A C, Makin V K, Hasselmann s. (1997. Assimilation of wave spectra from pitch-and-roll buoys in a North Sea wave model. J. Geophys. Res., 102 (C3): 5829–5849.
Walker D T. 2006. Assimilation of SAR imagery in a nearshore spectral wave model. DTIC Document.
Wang Y, Yu Z W. 2009. Validation of impact of assimilation of altimeter satellite significant wave height on wave forecast in the northwest Pacific. Acta Oceanologica Sinica, 31 (6): 1–8. (in Chinese with English abstract)
Xie J P, Counillon F, Zhu J, Bertino L. 2011. An eddy resolving tidal-driven model of the South China Sea assimilating along-track SLA data using the EnOI. Ocean Sci., 7 (5): 609–627, http://dx.doi.org/10.5194/os-7-609-2011.
Yan C X, Zhu J. (2011. Choice of ensemble members for ensemble optimal interpolation. Climatic and Environmental Research, 16 (4): 452–458. (in Chinese with English abstract)
Zamani A, Azimian A, Heemink A, Solomatine D. 2010. Nonlinear wave data assimilation with an ANN-type windwave model and Ensemble Kalman Filter (EnKF). Applied Mathematical Modelling, 34(8): 1984–1999.
Zhang Z X, Li C W, Li Y S, Qi Y Q. 2006. Incorporation of artificial neural networks and data assimilation techniques into a third-generation wind-wave model for wave forecasting. J. Hydroinform, 7: 65–76.
Zhang Z X, Qi Y Q, Shi P, Li C W, Li Y s. (2003. Application of an optimal interpolation wave assimilation method in South China Sea. Journal of Tropical Oceanography, 22 (4): 34–41, http://dx.doi.org/10.3969/j.issn.1009-5470.2003.04.005. (in Chinese with English abstract)
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Supported by the National Special Research Fund for Non-Profit Marine Sector (Nos. 201005033, 201105002), the National High Technology Research and Development Program of China (863 Program) (No. 2012AA091801), the National Natural Science Foundation of China (No. U1133001), and the NSFC-Shandong Joint Fund for Marine Science Research Centers (No. U1406401)
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Qi, P., Cao, L. Establishment and tests of EnOI assimilation module for WAVEWATCH III. Chin. J. Ocean. Limnol. 33, 1295–1308 (2015). https://doi.org/10.1007/s00343-015-4282-8
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DOI: https://doi.org/10.1007/s00343-015-4282-8