TECHNICAL PAPERS
Oct 26, 2010

Ocean Current Inference Using Towed Cable Hydrodynamics

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 138, Issue 1

Abstract

We consider the problem of estimating in real time the profile of ocean currents on towed arrays from positioning and tension measurements. This ill-posed inverse problem is addressed in the context of Bayesian statistics using maximum a posteriori estimation. Drawing the analogies to the generalized Tikhonov formulation, we implement an efficient algorithm that optimizes regularization and, subsequently, derive confidence intervals on the estimated currents. We then address the problem of reconstructing the profile of the angle of attack on the basis of the estimated ocean velocities and propose a stochastic simulation algorithm to evaluate it. To demonstrate the performance of our methods, some results from simulated experiments are presented.

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Acknowledgments

The authors are grateful to Professor J. L. Mead of Boise State University for providing the code implementing the chi-square method and Professor W. Lionheart of the University of Manchester for helpful discussions.

References

Dowling, A. P. (1988). “The dynamics of towed flexible cylinders. Part 1: Neutrally buoyant elements.” J. Fluid Mech., 187, 507–532.
Draper, N., and Smith, H. (1998). Applied regression analysis, 3rd Ed., Wiley, New York.
Gobat, J., and Grosenbaugh, M. (2001). “Application of the generalized alpha method to the time integration of the cable dynamics equations.” Comput. Methods Appl. Mech. Eng., 190(37–38), 4817–4829.
Hanke, M., and Scherzer, O. (2001). “Inverse problems light: Numerical differentiation.” Am. Math. Mon., 108(6), 512–521.
Kaipio, J. P., and Somersalo, E. (2004). Statistical and computational inverse problems, Springer-Verlag, New York.
Mead, J., and Renaut, R. (2009). “A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems.” Inverse Probl., 25(2), 025002.
Polydorides, N., Storteig, E., and Lionheart, W. (2008). “Forward and inverse problems in towed cable hydrodynamics.” Ocean Eng., 35(14–15), 1429–1438.
Polydorides, N., Storteig, E., and Lionheart, W. (2009). “Ocean current prediction in towed cable hydrodynamics under dynamic steering.” Inverse Probl. Sci. Eng., 17(5), 627–645.
Tarantola, A. (2005). Inverse problem theory and model parameter estimation, 2nd Ed., SIAM, Philadelphia, PA.

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Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 138Issue 1January 2012
Pages: 2 - 8

History

Received: Feb 16, 2010
Accepted: Oct 20, 2010
Published online: Oct 26, 2010
Published in print: Jan 1, 2012

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Authors

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Nick Polydorides [email protected]
Professor, Energy, Environment and Water Research Center, The Cyprus Institute, Nicosia, Cyprus (corresponding author). E-mail: [email protected]
Esklid Storteig [email protected]
Validus Engineering AB, Rognan, Norway. E-mail: [email protected]

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