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.
Get full access to this article
View all available purchase options and get full access to this article.
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.
Information & Authors
Information
Published In
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Feb 16, 2010
Accepted: Oct 20, 2010
Published online: Oct 26, 2010
Published in print: Jan 1, 2012
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.