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Title: Thermal field reconstruction and compressive sensing using proper orthogonal decomposition

Journal Article · · Frontiers in Energy Research

Model order reduction allows critical information about sensor placement and experiment design to be distilled from raw fluid mechanics simulation data. In many cases, sensed information in conjunction with reduced order models can also be used to regenerate full field variables. In this paper, a proper orthogonal decomposition (POD) inferencing method is extended to the modeling and compressive sensing of temperature, a scalar field variable. The method is applied to a simulated, critically stable, incompressible flow over a heated cylinder (Re = 1000) with Prandtl number varying between 0.001 and 50. The model is trained on pressure and temperature data from simulations. Field reconstructions are then generated using data from selected sensors and the POD model. Finally, the reconstruction error is evaluated across all Prandtl numbers for different numbers of retained modes and sensors. The predicted trend of increasing reconstruction accuracy with decreasing Prandtl number is confirmed and a Prandtl number/sensor count error matrix is presented.

Sponsoring Organization:
USDOE
OSTI ID:
2305787
Journal Information:
Frontiers in Energy Research, Journal Name: Frontiers in Energy Research Vol. 12; ISSN 2296-598X
Publisher:
Frontiers Media SACopyright Statement
Country of Publication:
Switzerland
Language:
English

References (21)

Stable signal recovery from incomplete and inaccurate measurements
  • Candès, Emmanuel J.; Romberg, Justin K.; Tao, Terence
  • Communications on Pure and Applied Mathematics, Vol. 59, Issue 8, p. 1207-1223 https://doi.org/10.1002/cpa.20124
journal January 2006
Two-stage indoor physical field reconstruction from sparse sensor observations journal September 2017
Rapid Reconstruction of Simulated and Experimental Temperature Fields Based on Proper Orthogonal Decomposition journal May 2020
Online reconstruction of 3D temperature field fused with POD-based reduced order approach and sparse sensor data journal May 2022
Review for order reduction based on proper orthogonal decomposition and outlooks of applications in mechanical systems journal May 2019
On PIV random error minimization with optimal POD-based low-order reconstruction journal March 2015
Incompressible Flow journal July 2013
A rewriting system for convex optimization problems journal November 2017
Sparse sensor reconstruction of vortex-impinged airfoil wake with machine learning journal April 2023
Thermal stratification in liquid metal pools under influence of penetrating colder jets journal May 2019
Singular value decomposition of noisy data: mode corruption journal July 2019
A POD reduced-order model for eigenvalue problems with application to reactor physics: POD EIGENVALUE MODEL journal July 2013
Turbulent thermal convection in a finite domain: Part I. Theory journal September 1990
Experimental investigation on the coolability of nuclear reactor debris beds using seawater journal March 2022
Proper orthogonal decomposition of large-eddy simulation data over real urban morphology journal February 2023
The approximation of one matrix by another of lower rank journal September 1936
Coherent Structures in Turbulence book October 1980
Turbulence and the dynamics of coherent structures. I. Coherent structures journal January 1987
Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements journal December 2013
Thermal response construction in randomly packed solids with graph theoretic support vector regression journal December 2017
Global field reconstruction from sparse sensors with Voronoi tessellation-assisted deep learning journal October 2021