EOF-based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound
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Chryssostomidis_EOF-Based.pdf
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Author(s)
Chryssostomidis, Chryssostomos
Karniadakis, George E.
Yang, Xiu
Venturi, Daniele
Chen, Changsheng
Date Issued
December 2010
Journal
Journal of Geophysical Research
Publisher
American Geophysical Union (AGU)
Citation
Yang, Xiu et al. “EOF-based Constrained Sensor Placement and Field Reconstruction from Noisy Ocean Measurements: Application to Nantucket Sound.” Journal of Geophysical Research 115.C12 (2010).
Version
Final published version
Abstract
Sensor placement at the extrema of empirical orthogonal functions (EOFs) is efficient and leads to accurate reconstruction of the ocean state from a limited number of measurements. In this paper, we develop important new extensions of this approach that optimize sensor placement to avoid redundant measurements, employ imperfect EOF modes, and take into account measurement errors. We use the simulation outputs of the Finite Volume Community Ocean Model applied to the Nantucket Sound region to evaluate the performances of the new approach and compare it against other similar techniques. Specifically, we find that there exists a critical size of exclusion volume (whose value is unknown a priori) surrounding each sensor that prevents clustering of sensors while minimizing the reconstruction error. In addition, we propose a new algorithm that can be effective in incorporating gappy data in assimilation schemes. We also derive analytical formulas of the uncertainty in the reconstructed field given any inaccuracies in the measurements. Taken together these developments will aid further in the development of truly real-time adaptive sampling for ocean forecasting.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Sea Grant College Program
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1029/2010jc006148
