Abstract
In order to better estimate meso-scale variabilities in the energetic Kuroshio Extension (KE) region, simultaneous assimilation of drifter-derived velocity data, together with satellite and in situ hydrographic data, is attempted by using a high-resolution 4-dimensional variational data assimilation (4D-VAR) system. Our experimental results, both with and without assimilation of drifter data (Exp. Drf and Exp. Ref, respectively) for the period during Aug–Oct 2005, show that the reproduced fields in Exp. Drf better reflect the observed meso-scale features such as the KE meandering jet and associated eddies. The adjoint sensitivity analysis indicates that our 4D-VAR system has the ability to provide a more realistic timeseries of the meandering jet structures that play a key role in the intergyre exchange between the subtropical and subarctic gyres in the North Pacific. In addition, the observed information from the surface drifters works to improve the subsurface structure. These results illustrate the advantage of our 4D-VAR simultaneous assimilation with the addition of drifter-derived surface velocity information.
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Awaji T, Masuda S, Ishikawa Y, Sugiura N, Toyoda T, Nakamura T (2003) State estimation of the North Pacific Ocean by a four dimensional variational data assimilation experiment. J. Oceanogr 59:931–943
Bower AS (1991) A simple kinematic mechanism for mixing fluid parcels across a meandering jet. J Phys Oceanogr 21:173–180
Chapron B, Collard F, Ardhuin F (2005) Direct measurements of ocean surface velocity from space: interpretation and validation. J Geophys Res 110:C07 008, doi:10.1029/2004JC002809
Cushman-Roisin B (1994) Introduction to geophysical fluid dynamics, 2nd edn. Prentice Hall College Div, Upper Saddle River
Ebuchi N, Hanawa K (2000) Mesoscale eddies observed by TOLEX-ADCP and TOPEX/POSEIDON altimeter in the Kuroshio Recirculation Region South of Japan. J Oceanogr 56:43–57
Flierl GR (1981) Particle motions in large amplitude wave fields. Geophys Astrophys Fluid Dyn 18:39–74
Fujii Y, Kamachi M (2003) A nonlinear preconditioned Quasi-Newton method without inversion of a first-guess covariance matrix in variational analyses. Tellus Ser A 55:450–454
Fukumori I, Wunsch C (1991) Efficient representation of North Atlantic hydrographic and chemical distribution. Prog Oceanogr 27:111–195
Gent PR, McWilliams JC (1990) Isopycnal mixing in the ocean circulation model. J Phys Oceanogr 20:150–155
Griffies SM (1998) The gent-mcwilliams skew flux. J Phys Oceanogr 28:831–841
Hansen DV, Poulain PM (1996) Quality control and interpolations of WOCE-TOGA drifter data. J Atmos Oceanic Technol 13:900–909
Hasumi H (2000) Ccsr ocean component model (coco) version 2.1. CCSR Report, No. 13, Center for Climate System Research, University of Tokyo
Hurlburt HE, Wallcraft AJ, Schmitz WJ Jr, Hogan PJ, Metzger EJ (1996) Dynamics of the Kuroshio/Oyashio current system using eddy-resolving models of the North Pacific Ocean. J Geophys Res 101:941–976
Ide K, Courtier P, Ghil M, Lorenc A (1997) Unified notation for data assimilation: operational, sequential and variational. J Meteorol Soc Jpn 75:181–189
Ide K, Kuznetsov L, Jones C (2002) Lagrangian data assimilation for point vortex systems. J Turbul 3:053
Ikeda M (1989) Snow cover detected by diurnal warming of sea ice/snow surface off Labrador in NOAA imagery. IEEE Trans Geosci Remote Sens 27:552–560
Ishikawa I, Ishizaki H (2009) Importance of eddy representation for modeling the intermediate salinity minimum in the North Pacific: comparison between eddy-resolving and eddy-permitting models. J Oceanogr 65:407–426
Ishikawa Y, Awaji T, Toyoda T, In T, Nishina K, Nakayama T, Shima S (2009) High-resolution synthetic monitoring by a 4-dimensional variational data assimilation system in the northwestern North Pacific. J Mar Syst 78:237–248
Ishizaki H, Motoi T (1999) Reevaluation of the takano-onishi scheme for momentum advection on bottom relief in ocean models. J Atmos Oceanic Technol 16:1994–2010
Johannessen JA, Chapron B, Collard F, Kudryavtsev V, Mouche A, Akimov D, Dagestad K.-F (2008) Direct ocean surface velocity measurements from space: improved quantitative interpretation of Envisat ASAR observations. Geophys Res Lett 35: L22 608, doi:10.1029/2008GL035709
Kalnay E et al (1996) The NCEP/NCAR 40-year re-analysis project. Bull Am Meteorol Soc 77:437–471
Kamachi M, O’Brien J (1995) Continuous data assimilation of drifting buoy trajectory into an equatorial Pacific Ocean model. J Mar Syst 6:159–178
Kawamura H, Mizuno K, Toba Y (1986) Formation process of a warm-core ring in the Kuroshio–Oyashio frontal zone–December 1982–October 1982. Deep-Sea Res 33:1617–1640
Kelly KA, Thompson L, Cheng W, Metzger EJ (2007) Evaluation of HYCOM in the Kuroshio extension region using new metrics. J Geophys Res 112:C01 004
Lebedev KV, Yoshinari H, Maximenko NA, Hacker PW (2007) YoMaHa f07: velocity data assessed from trajectories of Argo floats at parking level and at the sea surface. IPRC Technical Note 4(2):16
Leonard B (1979) A stable and accurate convective modeling procedure based upon quadratic upstream interpolation. J Comput Methods Appl Mech Eng 19:59–98
Leonard B, MacVean MK, Lock AP (1993) Positivity-preserving numerical schemes for multidimensional advection. NASA Tech. Memo 62, ICOMP–93–05
Lin XH, Oey L-Y, Wang D-P (2007) Altimetry and drifter data assimilations of loop current and eddies. J Geophys Res 112:C05 046, doi:10.1029/2006JC003779
Lorenc AC (1981) A global three-dimensional multivariate statistical interpolation scheme. Mon Weather Rev 109:701–721
Masuda S, Awaji T, Sugiura N, Ishikawa Y, Baba K, Horiuchi K, Komori N (2003) Improved estimates of the dynamical state of the North Pacific Ocean from a 4 dimensional variational data assimilation. Geophys Res Lett 30:1868
Masuda S, Awaji T, Sugiura N, Toyoda T, Ishikawa Y, Horiuchi K (2006) Interannual variability of temperature inversions in the subarctic North Pacific. Geophys Res Lett 33:L24 610
Matthews J (2005) Stereo observation of lakes and coastal zones using ASTER imagery. Remote Sens Environ 99:16–30
Matthews J, Awaji T (2010) Synoptic mapping of internal-wave motions and surface currents near the Lombok Strait using the Along-Track Stereo Sun Glitter technique. Remote Sens Environ 114:1765–1776
Mitsudera H, Taguchi B, Yoshikawa Y, Nakamura H, Waseda T, Qu T (2004) Numerical study on the Oyashio water pathways in the Kuroshio–Oyashio confluence. J Phys Oceanogr 34:1174–1196
Moore AM et al (2011) The regional ocean modeling system (roms) 4-dimensional variational data assimilation systems part ii - performance and application to the California current system. Prog Oceanogr 91:50–73
Nakamura T, Toyoda T, Ishikawa Y, Awaji T (2006) Effects of tidal mixing at the kuril straits on the North Pacific ventilation: adjustment of the intermediate layer revealed from numerical experiments. J Geophys Res 111:C04 003, doi:10.1029/2005JC003142
Niiler PP, Maximenko N, Panteleev G, Yamagata T, Olson D (2003) Nearsurface dynamical structure of the Kuroshio extension. J Geophys Res 108(C3):3193, doi:10.1029/2002JC001461
Niiler PP, Sybrandy AL, Bi K, Poulain P, Bitterman D (1995) Measurements of the water-following capability of holey-sock and TRISTAR drifters. Deep Sea Res 42:1951–1964
Nodet M (2006) Variational assimilation of Lagrangian data in oceanography. Inverse Probl 22:245–263
Noh Y (2005) Sensitivity to wave breaking and the prandtl number in the ocean mixed layer model and its dependence on latitude. Geophys Res Lett 31:L23 305
Noh Y, Kim HJ (1999) Simulations of temperature and turbulence structure of the oceanic boundary layer with the improved near-surface process. J Geophys Res 104:15621–16534
Oey LY, Chen P (1992) A nested -gris ocean model- with application to the simulation of meanders and eddies in the norwegian coastal current. J Geophys Res 97:20063–20086
Pazan S, Niiler PP (2001) Recovery of near surface velocity from undrogued drifters. J Atmos Oceanic Technol 18:476–489
Qiu B, Chen S (2005) Variability of the Kuroshio extension jet, recirculation gyre and mesoscale eddies on decadal timescales. J Phys Oceanogr 35:2090–2103
Qiu B, Chen S, Hacker P (2007) Effect of mesoscale eddies on subtropical mode water variability from the Kuroshio extension system study (KESS). J Phys Oceanogr 37:982–1000
Rio MH, Hernandez F (2004) A mean dynamic topography computed over the world ocean from altimetry, in situ measurements, and a geoid model. J. Geophys. Res 109:C12032
Romeiser R, Johannessen J, Chapron B, Collard F, Kudryavtsev V, Runge H, Suchandt S (2010) Direct surface current field imaging from space by Along-Track InSAR and Conventional SAR. In: Barale V, Gower J F R, Alberotanza L (eds) Oceanography from space: revisited. Springer, Berlin, pp 73–91
Romeiser R, Runge H (2007) Theoretical evaluation of several possible Along-Track InSAR modes of TerraSAR-X for ocean current measurements. IEEE Trans Geosci Remote Sens 45:21–35
Roske F (2001) An atlas of surface fluxes based on the ECMWF re-analysis—a climatological dataset of force global ocean general circulation models. Rep., vol 323, pp 26. Max Planck Institute for Meteorology, Hamburg
Stammer D, Wunsch C, Fukumori I, Marshall J (2002) State estimation improves prospects for ocean research. EOS Trans Am Geophys Union 83:289–293
Sugimoto T, Kawasaki Y, Li J (1992) A description of the time-dependent hydrographic structure of the warm streamer around the Kuroshio warm-core ring 86B. Deep Sea Res 39:S77–S96
Talley LD (2003) Shallow, intermediate, and deep overturning components of the global heat budget. J Phys Oceanogr 33:530–560
Toyoda T, Awaji T, Ishikawa Y, Nakamura T (2004) Preconditioning of winter mixed layer in the formation of North Pacific eastern subtropical mode water. Geophys Res Lett 31:L17206
Usui N, Tsujino H, Fujii Y, Kamachi M (2008a) Generation of a trigger meander for the 2004 Kuroshio large meander. J Geophys Res 113:C01012. doi:10.1029/2007JC004266
Usui N, Tsujino H, Nakano H, Fujii Y (2008b) Formation process of the Kuroshio large meander in 2004. J Geophys Res 113:C08047. doi:10.1029/2007JC004675
Yasuda I (2003) Hydrographic structure and variability of the Kuroshio–Oyashio transition area. J Oceanogr 59:389–402
Yu P, Kurapov AL, Egbert GD, Allen JS, Kosro PM (2012) Variational assimilation of hf radar surface currents in a coastal ocean model off oregon. Ocean Model 49–50:86–104
Acknowledgments
We thank Dr. J.P. Matthews for his critical reading of our manuscript. We are grateful to two anonymous reviewers for their constructive comments. The numerical calculations are carried out on a Fujitsu Prime 590 Power HPC2500 in the Academic Center for Computing and Media Studies, Kyoto University. The present work is partly supported by Grant-in-Aid for JSPS Fellows.
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Nishina, K., Ishikawa, Y. & Awaji, T. Simultaneous assimilation of surface drifter data, satellite and in situ observations for improved estimates of meso-scale variability in the Kuroshio Extension Region. J Oceanogr 69, 175–190 (2013). https://doi.org/10.1007/s10872-012-0163-3
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DOI: https://doi.org/10.1007/s10872-012-0163-3