Efficient sensor placement for ocean measurements using low-dimensional concepts

Using simulation results from three different regional ocean models (HOPS, ROMS and FVCOM) we show that only a few spatio-temporal POD (proper orthogonal decomposition) modes are sufficient to describe the most energetic ocean dynamics. In particular, we demonstrate that the simulated ocean dynamics...

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Main Authors: Yildirim, Battalgazi, Chryssostomidis, Chryssostomos, Karniadakis, George E.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Elsevier Ltd. 2009
Online Access:http://hdl.handle.net/1721.1/49867
https://orcid.org/0000-0002-2055-9245
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author Yildirim, Battalgazi
Chryssostomidis, Chryssostomos
Karniadakis, George E.
author2 Massachusetts Institute of Technology. Department of Mechanical Engineering
author_facet Massachusetts Institute of Technology. Department of Mechanical Engineering
Yildirim, Battalgazi
Chryssostomidis, Chryssostomos
Karniadakis, George E.
author_sort Yildirim, Battalgazi
collection MIT
description Using simulation results from three different regional ocean models (HOPS, ROMS and FVCOM) we show that only a few spatio-temporal POD (proper orthogonal decomposition) modes are sufficient to describe the most energetic ocean dynamics. In particular, we demonstrate that the simulated ocean dynamics in New Jersey coast, Massachusetts Bay and Gulf of Maine is energetically equivalent to the wake dynamics behind a cylinder at low Reynolds number. Moreover, the extrema of the POD spatial modes are very good locations for sensor placement and accurate field reconstruction. We employ a modified POD theory to incorporate a limited number of measurements in reconstructing the velocity and temperature fields, and we study systematically the corresponding reconstruction errors as a function of the sensor location, number of sensors, and number of POD modes. This new approach is quite accurate in short-term simulation, and hence it has the potential of accelerating the use of real-time adaptive sampling in data assimilation for ocean forecasting.
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spelling mit-1721.1/498672022-09-28T12:53:01Z Efficient sensor placement for ocean measurements using low-dimensional concepts Yildirim, Battalgazi Chryssostomidis, Chryssostomos Karniadakis, George E. Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Sea Grant College Program Chryssostomidis, Chryssostomos Karniadakis, George E. Chryssostomidis, Chryssostomos Using simulation results from three different regional ocean models (HOPS, ROMS and FVCOM) we show that only a few spatio-temporal POD (proper orthogonal decomposition) modes are sufficient to describe the most energetic ocean dynamics. In particular, we demonstrate that the simulated ocean dynamics in New Jersey coast, Massachusetts Bay and Gulf of Maine is energetically equivalent to the wake dynamics behind a cylinder at low Reynolds number. Moreover, the extrema of the POD spatial modes are very good locations for sensor placement and accurate field reconstruction. We employ a modified POD theory to incorporate a limited number of measurements in reconstructing the velocity and temperature fields, and we study systematically the corresponding reconstruction errors as a function of the sensor location, number of sensors, and number of POD modes. This new approach is quite accurate in short-term simulation, and hence it has the potential of accelerating the use of real-time adaptive sampling in data assimilation for ocean forecasting. 2009-11-30T21:54:09Z 2009-11-30T21:54:09Z 2009-01 2008-12 Article http://purl.org/eprint/type/SubmittedJournalArticle 1463-5003 http://hdl.handle.net/1721.1/49867 Yildirim, B., C. Chryssostomidis, and G.E. Karniadakis. “Efficient sensor placement for ocean measurements using low-dimensional concepts.” Ocean Modelling 27.3-4 (2009): 160-173. Web. https://orcid.org/0000-0002-2055-9245 en_US http://dx.doi.org/10.1016/j.ocemod.2009.01.001 Ocean Modelling 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. application/pdf Elsevier Ltd. Nancy Adams
spellingShingle Yildirim, Battalgazi
Chryssostomidis, Chryssostomos
Karniadakis, George E.
Efficient sensor placement for ocean measurements using low-dimensional concepts
title Efficient sensor placement for ocean measurements using low-dimensional concepts
title_full Efficient sensor placement for ocean measurements using low-dimensional concepts
title_fullStr Efficient sensor placement for ocean measurements using low-dimensional concepts
title_full_unstemmed Efficient sensor placement for ocean measurements using low-dimensional concepts
title_short Efficient sensor placement for ocean measurements using low-dimensional concepts
title_sort efficient sensor placement for ocean measurements using low dimensional concepts
url http://hdl.handle.net/1721.1/49867
https://orcid.org/0000-0002-2055-9245
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