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Title: POD-based constrained sensor placement and field reconstruction from noisy wind measurements: A perturbation study

Abstract

Sensor placement at the extrema of Proper Orthogonal Decomposition (POD) is efficient and leads to accurate reconstruction of the wind field from a limited number of measure- ments. In this paper we extend this approach of sensor placement and take into account measurement errors and detect possible malfunctioning sensors. We use the 48 hourly spa- tial wind field simulation data sets simulated using the Weather Research an Forecasting (WRF) model applied to the Maine Bay to evaluate the performances of our methods. Specifically, we use an exclusion disk strategy to distribute sensors when the extrema of POD modes are close. It turns out that this strategy can also reduce the error of recon- struction from noise measurements. Also, by a cross-validation technique, we successfully locate the malfunctioning sensors.

Authors:
 [1];  [2];  [3]
  1. Worcester Polytechnic Institute, Worcester, MA (United States)
  2. Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
  3. Purdue Univ., West Lafayette, IN (United States)
Publication Date:
Research Org.:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1358522
Report Number(s):
PNNL-SA-114546
Journal ID: ISSN 2227-7390; KJ0401000; TRN: US1702305
Grant/Contract Number:  
AC05-76RL01830
Resource Type:
Accepted Manuscript
Journal Name:
Mathematics
Additional Journal Information:
Journal Volume: 4; Journal Issue: 2; Journal ID: ISSN 2227-7390
Publisher:
MDPI
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; 97 MATHEMATICS AND COMPUTING; proper orthogonal decomposition; sensor placement; uncertainty; anomaly detection

Citation Formats

Zhang, Zhongqiang, Yang, Xiu, and Lin, Guang. POD-based constrained sensor placement and field reconstruction from noisy wind measurements: A perturbation study. United States: N. p., 2016. Web. https://doi.org/10.3390/math4020026.
Zhang, Zhongqiang, Yang, Xiu, & Lin, Guang. POD-based constrained sensor placement and field reconstruction from noisy wind measurements: A perturbation study. United States. https://doi.org/10.3390/math4020026
Zhang, Zhongqiang, Yang, Xiu, and Lin, Guang. Thu . "POD-based constrained sensor placement and field reconstruction from noisy wind measurements: A perturbation study". United States. https://doi.org/10.3390/math4020026. https://www.osti.gov/servlets/purl/1358522.
@article{osti_1358522,
title = {POD-based constrained sensor placement and field reconstruction from noisy wind measurements: A perturbation study},
author = {Zhang, Zhongqiang and Yang, Xiu and Lin, Guang},
abstractNote = {Sensor placement at the extrema of Proper Orthogonal Decomposition (POD) is efficient and leads to accurate reconstruction of the wind field from a limited number of measure- ments. In this paper we extend this approach of sensor placement and take into account measurement errors and detect possible malfunctioning sensors. We use the 48 hourly spa- tial wind field simulation data sets simulated using the Weather Research an Forecasting (WRF) model applied to the Maine Bay to evaluate the performances of our methods. Specifically, we use an exclusion disk strategy to distribute sensors when the extrema of POD modes are close. It turns out that this strategy can also reduce the error of recon- struction from noise measurements. Also, by a cross-validation technique, we successfully locate the malfunctioning sensors.},
doi = {10.3390/math4020026},
journal = {Mathematics},
number = 2,
volume = 4,
place = {United States},
year = {2016},
month = {4}
}

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Works referenced in this record:

Spatiotemporal analysis of complex signals: Theory and applications
journal, August 1991

  • Aubry, Nadine; Guyonnet, R�gis; Lima, Ricardo
  • Journal of Statistical Physics, Vol. 64, Issue 3-4
  • DOI: 10.1007/BF01048312

L OW -D IMENSIONAL M ODELING AND N UMERICAL S IMULATION OF T RANSITION IN S IMPLE S HEAR F LOWS
journal, January 2003


Aerodynamic Data Reconstruction and Inverse Design Using Proper Orthogonal Decomposition
journal, August 2004

  • Bui-Thanh, T.; Damodaran, M.; Willcox, K.
  • AIAA Journal, Vol. 42, Issue 8
  • DOI: 10.2514/1.2159

An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
journal, November 2004

  • Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong
  • Comptes Rendus Mathematique, Vol. 339, Issue 9
  • DOI: 10.1016/j.crma.2004.08.006

PGD-Based Computational Vademecum for Efficient Design, Optimization and Control
journal, January 2013

  • Chinesta, F.; Leygue, A.; Bordeu, F.
  • Archives of Computational Methods in Engineering, Vol. 20, Issue 1
  • DOI: 10.1007/s11831-013-9080-x

Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder
journal, July 2008

  • Venturi, Daniele; Wan, Xiaoliang; Karniadakis, George Em
  • Journal of Fluid Mechanics, Vol. 606
  • DOI: 10.1017/S0022112008001821

Karhunen–Loève procedure for gappy data
journal, January 1995

  • Everson, R.; Sirovich, L.
  • Journal of the Optical Society of America A, Vol. 12, Issue 8
  • DOI: 10.1364/JOSAA.12.001657

Emerging ocean observations for interdisciplinary data assimilation systems
journal, April 2003


An Empirical Eigenfunction Analysis of Sea Surface Temperatures in the Western North Atlantic
journal, March 1997


Efficient sensor placement for ocean measurements using low-dimensional concepts
journal, January 2009


Optimized sensor placement for urban flow measurement
journal, May 2004

  • Mokhasi, Paritosh; Rempfer, Dietmar
  • Physics of Fluids, Vol. 16, Issue 5
  • DOI: 10.1063/1.1689351

Empirical orthogonal function analysis of global TOPEX/POSEIDON altimeter data and implications for detection of global sea level rise
journal, June 1996

  • Hendricks, James R.; Leben, Robert R.; Born, George H.
  • Journal of Geophysical Research: Oceans, Vol. 101, Issue C6
  • DOI: 10.1029/96JC00922

The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows
journal, January 1993


Modes of mesoscale sea surface height and temperature variability in the East Australian Current
journal, January 2007

  • Wilkin, John L.; Zhang, Weifeng G.
  • Journal of Geophysical Research, Vol. 112, Issue C1
  • DOI: 10.1029/2006JC003590

Robust unscented Kalman filter with adaptation of process and measurement noise covariances
journal, January 2016


Real time parameter identification and solution reconstruction from experimental data using the Proper Generalized Decomposition
journal, November 2015

  • Nadal, E.; Chinesta, F.; Díez, P.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 296
  • DOI: 10.1016/j.cma.2015.07.020

Gappy data and reconstruction procedures for flow past a cylinder
journal, January 1999


Extratropical low-frequency variability as a low-dimensional problem I: A simplified model
journal, April 2001

  • D'Andrea, Fabio; Vautard, Robert
  • Quarterly Journal of the Royal Meteorological Society, Vol. 127, Issue 574
  • DOI: 10.1002/qj.49712757413

Observing system simulation experiments with ensemble Kalman filters in Nantucket Sound, Massachusetts
journal, January 2011

  • Xue, Pengfei; Chen, Changsheng; Beardsley, Robert C.
  • Journal of Geophysical Research, Vol. 116, Issue C1
  • DOI: 10.1029/2010JC006428

Applications of EOF Analysis to the Spatial Estimation of Circulation Features in the Ocean Sampled by High-Resolution CTD Soundings
journal, August 1998


Nonlinear Model Reduction via Discrete Empirical Interpolation
journal, January 2010

  • Chaturantabut, Saifon; Sorensen, Danny C.
  • SIAM Journal on Scientific Computing, Vol. 32, Issue 5
  • DOI: 10.1137/090766498

An efficient method of selecting ocean observing locations for capturing the leading modes and reconstructing the full field
journal, January 2008

  • Zhang, Yanwu; Bellingham, James G.
  • Journal of Geophysical Research, Vol. 113, Issue C4
  • DOI: 10.1029/2007JC004327

EOF-based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound
journal, January 2010

  • Yang, Xiu; Venturi, Daniele; Chen, Changsheng
  • Journal of Geophysical Research, Vol. 115, Issue C12
  • DOI: 10.1029/2010JC006148

EOF Calculations and Data Filling from Incomplete Oceanographic Datasets*
journal, December 2003


Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition
journal, February 2006


Robust control of uncertain cylinder wake flows based on robust reduced order models
journal, June 2009


Turbulence and the dynamics of coherent structures. I. Coherent structures
journal, January 1987

  • Sirovich, Lawrence
  • Quarterly of Applied Mathematics, Vol. 45, Issue 3
  • DOI: 10.1090/qam/910462

    Works referencing / citing this record:

    Optimal Design for Placements of Tsunami Observing Systems to Accurately Characterize the Inducing Earthquake
    journal, December 2017

    • Mulia, Iyan E.; Gusman, Aditya Riadi; Satake, Kenji
    • Geophysical Research Letters, Vol. 44, Issue 24
    • DOI: 10.1002/2017gl075791

    An Optimized Array Configuration of Tsunami Observation Network Off Southern Java, Indonesia
    journal, September 2019

    • Mulia, Iyan E.; Gusman, Aditya Riadi; Williamson, Amy L.
    • Journal of Geophysical Research: Solid Earth, Vol. 124, Issue 9
    • DOI: 10.1029/2019jb017600

    Calibration of reduced-order model for a coupled Burgers equations based on PC-EnKF
    journal, January 2018

    • Wang, Yuepeng; Cheng, Yue; Zhang, Zongyuan
    • Mathematical Modelling of Natural Phenomena, Vol. 13, Issue 2
    • DOI: 10.1051/mmnp/2018023