POD-based constrained sensor placement and field reconstruction from noisy wind measurements: a perturbation study
type: Item
instance of: scholarly article
title: POD-based constrained sensor placement and field reconstruction from noisy wind measurements: a perturbation study
zbMATH Open document ID: 1397.86018
author: Zhongqiang Zhang
author: Xiu Yang
author: Guang Lin
published in: Mathematics
publication date: 2017-03-16T00:00:00Z
review text: Summary: It is shown in literature that sensor placement at the extrema of Proper Orthogonal Decomposition (POD) modes is efficient and leads to accurate reconstruction of the field of quantity of interest (velocity, pressure, salinity, etc.) from a limited number of measurements in the oceanography study. In this paper, we extend this approach of sensor placement and take into account measurement errors and detect possible malfunctioning sensors. We use the 24 hourly spatial wind field simulation data sets simulated using the Weather Research and 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. We demonstrate that this strategy can improve the accuracy of the reconstruction of the velocity field. It is also capable of reducing the standard deviation of the reconstruction from noisy measurements. Moreover, by a cross-validation technique, we successfully locate the malfunctioning sensors.
Mathematics Subject Classification ID: 86A22
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q31
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 65C05
zbMATH DE Number: 6695453
zbMATH Keywords: proper orthogonal decomposition
zbMATH Keywords: sensor placement
zbMATH Keywords: uncertainty
zbMATH Keywords: anomaly detection
MaRDI profile type: Publication
full work available at URL: math4020026
OpenAlex ID: W2338649600
cites work: On proper orthogonal decomposition of randomly perturbed fields with applications to flow past a cylinder and natural convection over a horizontal plate
cites work: L<scp>OW</scp>-D<scp>IMENSIONAL</scp> M<scp>ODELING AND</scp> N<scp>UMERICAL</scp> S<scp>IMULATION OF</scp> T<scp>RANSITION IN</scp> S<scp>IMPLE</scp> S<scp>HEAR</scp> F<scp>LOWS</scp>
cites work: Spatiotemporal analysis of complex signals: Theory and applications
cites work: Turbulence and the dynamics of coherent structures. I. Coherent structures
cites work: Gappy data and reconstruction procedures for flow past a cylinder
cites work: An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
cites work: Nonlinear Model Reduction via Discrete Empirical Interpolation
cites work: PGD-based \textit{computational vademecum} for efficient design, optimization and control
cites work: Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition
cites work: Optimized sensor placement for urban flow measurement
cites work: Robust control of uncertain cylinder wake flows based on robust reduced order models
cites work: Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder
DOI: 10.3390/MATH4020026
description: scientific article; zbMATH DE number 6695453