Bottom topography mapping via nonlinear data assimilation

Journal of Atmospheric and Oceanic Technology

Volumn 28, Issue 12, 2011, Pages 1606-1623

  Zaron, Edward D ^a   Pradal, Marie Aude ^b   Miller, Patrick D ^b   Blumberg, Alan F ^b   Georgas, Nickitas ^b   Li, Wei ^b   Cornuelle, Julia Muccino ^b  

^a Portland State University   (United States)

^b STEVENS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Data assimilation; Ocean models; Operational forecasting; Optimization; Orographic effects

Indexed keywords

BAROTROPIC; BOTTOM TOPOGRAPHY; CONTINUITY EQUATIONS; DATA ASSIMILATION; HUDSON RIVER; IN-SITU DATA; LINE SEARCHES; NON-LINEAR INVERSE PROBLEM; NONLINEAR DATA; OCEAN MODEL; OPERATIONAL FORECASTING; OROGRAPHIC EFFECTS; PICARD ITERATION; REMOTELY-SENSED OBSERVATIONS; SHALLOW-WATER MODELS; VARIATIONAL DATA ASSIMILATION; VELOCITY FIELD; WATER SURFACE;

INVERSE PROBLEMS; NONLINEAR EQUATIONS; OPTIMIZATION; REMOTE SENSING; VELOCITY; WATER LEVELS;

TOPOGRAPHY;

BOTTOM TOPOGRAPHY; CALIBRATION; DATA ASSIMILATION; ESTIMATION METHOD; FORECASTING METHOD; OPTIMIZATION; OROGRAPHIC EFFECT; REMOTE SENSING; RIVER WATER; SHALLOW WATER; TOPOGRAPHIC MAPPING; VARIANCE ANALYSIS; WATER LEVEL;

HAVERSTRAW BAY; HUDSON RIVER; NEW YORK [UNITED STATES]; UNITED STATES;

EID: 84863059573     PISSN: 07390572     EISSN: None     Source Type: Journal    
DOI: 10.1175/JTECH-D-11-00070.1     Document Type: Article

References (41)

1. Bennett, A. F., 1992: Inverse Methods in Physical Oceanography. 1st ed. Cambridge University Press, 346 pp.
2. Bennett, A. F., 2002: Inverse Modeling of the Ocean and Atmosphere. Cambridge University Press, 234 pp.
3. Bennett, A. F., B. S. Chua, B. L. Pflaum, M. Erwig, Z. Fu, R. D. Loft, and J. C. Muccino, 2008: The Inverse Ocean Modeling system. Part I: Implementation. J. Atmos. Oceanic Technol., 25, 1608-1622.
4. Blumberg, A. F., and H. J. Herring, 1987: Circulation modelling using orthogonal curvilinear coordinates. Three-Dimensional Models of Marine and Estuarine Dynamics, J. C. J. Nihoul and B. M. Jamart, Eds., Elsevier Oceanography Series, Vol. 45, Elsevier, 55-88.
5. Blumberg, A. F., and G. L. Mellor, 1987: A description of a three-dimensional coastal ocean circulation model. Three-Dimensional Coastal Ocean Models, N. S. Heaps, Ed., Amer. Geophys. Union, 1-16.
6. Blumberg, A. F., and N. Georgas, 2008: Quantifying uncertainty in estuarine and coastal ocean circulation modeling. J. Hydraul. Eng., 134, 403-415.
7. Brent, R. P., 1973: An algorithm with guaranteed convergence for finding a zero of a function. Algorithms for Minimization without Derivatives, Prentice Hall, 47-60.
8. Bruno, M. S., A. F. Blumberg, and T. O. Harrington, 2006: The urban ocean observatory-Coastal ocean observations and forecasting in the New York Bight. J. Mar. Sci. Environ., C4, 31-39.
9. Chua, B., and A. F. Bennett, 2001: An inverse ocean modeling system. Ocean Modell., 3, 137-165.
10. Courtier, P., 1997: Dual formulation of four-dimensional assimilation. Quart. J. Roy. Meteor. Soc., 123, 2449-2461.
11. Craven, P., and G. Wahba, 1979: Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation. Numer. Math., 31, 377-403.
12. Cressman, G., 1959: An operational objective analysis system. Mon. Wea. Rev., 87, 367-374.
13. Das, S. K., and R. W. Lardner, 1991: On the estimation of parameters of hydraulic models by assimilation of periodic tidal data. J. Geophys. Res., 96, 15 187-15 196.
14. Derber, J., and A. Rosati, 1989: A global oceanic data assimilation system. J. Phys. Oceanogr., 19, 1333-1347.
15. de Sturler, E., 1994: Iterative methods on distributed memory computers. Ph.D. thesis, DelftUniversity of Technology, 130 pp.
16. deSwart, H. E., and J. T. Zimmerman, 2009: Morphodynamics of tidal inlet systems. Annu. Rev. Fluid Mech., 41, 203-229.
17. Dugan, J. P., and C. C. Piotrowski, 2003: Surface current measurement using visible image time series. Remote Sens. Environ., 1, 309-319.
18. Dugan, J. P., and Coauthors, 2001a: Airborne optical system for remote sensing of ocean waves. J. Atmos. Oceanic Technol., 18, 1267-1276.
19. Dugan, J. P., C. C. Piotrowski, and J. Z. Williams, 2001b: Water depth and surface current retrievals from airborne optical measurements of surface gravity wave dispersion. J. Geophys. Res., 106, 16 903-16 915.
20. Frascati, A., and S. Lanzoni, 2009: Morphodynamic regime and long-term evolution of meandering rivers. J. Geophys. Res., 114, F02002.
21. Heemink, A. W., E. E. Mouthaan, M. R. Roest, E. A. Vollebregt, K. B. Robaczewska, and M. Verlaan, 2002: Inverse 3D shallow water flow modeling of the continental shelf. Cont. Shelf Res., 22, 465-484.
22. Hirose, N., 2005: Least-squares estimation of bottom topography using horizontal velocitymeasurements in the Tsushima/Korea Straits. J. Oceanogr., 61, 789-794.
23. Ji, Z., M. R. Morton, and J. M. Hamrick, 2001: Wetting and drying simulation of estuarine processes. Estuarine Coastal Shelf Sci., 53, 683-700.
24. Lardner, R. W., A. H. Al-Rabeh, and N. Gunay, 1993: Optimal estimation of parameters for a two-dimensional hydrodynamical model of the Arabian Gulf. J. Geophys. Res., 98, 18 229-18 242.
25. Lilly, D. K., 1967: The representation of small-scale turbulence in numerical simulation experiments. Proc. IBM Scientific Computing Symp. Environmental Science, IBM, 195.
26. Losch, M., and C. Wunsch, 2003: Bottom topography as a control variable in an ocean model. J. Atmos. Oceanic Technol., 20, 1685-1696.
27. McIntosh, P., 1987: Systematic design of observational arrays. J. Phys. Oceanogr., 17, 885-902.
28. Mourre, B., P. De Mey, F. Lyard, and C. Le Provost, 2004: Assimilation of sea level data over continental shelves: An ensemble method for the exploration of model errors due to uncertainties in bathymetry. Dyn. Atmos. Oceans, 38, 93-121.
29. Muccino, J. C., and Coauthors, 2008: The inverse ocean modeling system. Part II: Applications. J. Atmos. Oceanic Technol., 25, 1623-1637.
30. Parker, R. L., 1994: Geophysical Inverse Theory. Princeton University Press, 400 pp.
31. Piotrowski, C. C., and J. P. Dugan, 2002: Accuracy of bathymetry and current retrievals from airborne optical time-series imaging of shoaling waves. IEEE Trans. Geosci. Remote Sens., 40, 2606-2618.
32. Prandle, D., 2004: How tides and river flows determine estuarine bathymetries. Prog. Oceanogr., 61, 1-26.
33. Prandle, D., A. Lane, and A. J. Manning, 2006: New typologies for estuarine morphology. Geomorphology, 81, 309-315.
34. Riishojgaard, L. P., 1998: A direct way of specifying flow-dependent background error correlations for meorological analysis systems. Tellus, 50A, 42-57.
35. Sarkisyan, A. S., and V. F. Ivanov, 1971: Joint effect of baroclinicity and bottom relief as an important factor in the dynamics of sea currents. Bull. Acad. Sci. USSR Atmos. Oceanic Phys., 7, 173-188.
36. Savenije, H. H., 2005: Salinity and Tides in Alluvial Estuaries. Elsevier, 194 pp.
37. Smagorinsky, J., 1963: General circulation experiments with the primitive equations I. The basic experiment. Mon. Wea. Rev., 91, 99-164.
38. Ten-Brummelhuis, P.G., A.W.Heemink, and H. van den Boogard, 1993: Identification of shallow sea models. Int. J. Numer. Methods Fluids, 17, 637-665.
39. Vennell, R., and R. Beatson, 2006: Moving vessel acoustic Doppler current profiler measurements of tidal stream function using radial basis functions. J. Geophys. Res., 111, C09002, doi:10.1029/2005JC003321.
40. Wahba, G., 1990: Spline Models for Observational Data. SIAM, 169 pp.
41. Weaver, A., and P. Courtier, 2001: Correlation modelling on the sphere using a generalized diffusion equation. Quart. J. Roy. Meteor. Soc., 127, 1815-1846.