Modeling of a 3D Temperature Field by Integrating a Physics-Specific Model and Spatiotemporal Stochastic Processes

Engineering thermal management (ETM) is one of the critical tasks for quality control and system surveillance in many industries, and acquiring the temperature field and its evolution is a prerequisite for efficient thermal management. By harnessing the sensing data from sensor networks, an unpreced...

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Main Authors: Di Wang, Xi Zhang
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/9/10/2108
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author Di Wang
Xi Zhang
author_facet Di Wang
Xi Zhang
author_sort Di Wang
collection DOAJ
description Engineering thermal management (ETM) is one of the critical tasks for quality control and system surveillance in many industries, and acquiring the temperature field and its evolution is a prerequisite for efficient thermal management. By harnessing the sensing data from sensor networks, an unprecedented opportunity has emerged for an accurate estimation of the temperature field. However, limited resources of sensor deployment and computation capacity pose a great challenge while modeling the spatiotemporal dynamics of the temperature field. This paper presents a novel temperature field estimation approach to describe the dynamics of a temperature field by combining a physics-specific model and a spatiotemporal Gaussian process. To reduce the computational burden while dealing with a large set of spatiotemporal data, we employ a tapering covariance function and develop an associated parameter estimation procedure. We introduce a case study of grain storage to show the effectiveness and efficiency of the proposed approach.
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spelling doaj.art-0a4406acbcd946d0b03e48caed309d612022-12-22T00:14:39ZengMDPI AGApplied Sciences2076-34172019-05-01910210810.3390/app9102108app9102108Modeling of a 3D Temperature Field by Integrating a Physics-Specific Model and Spatiotemporal Stochastic ProcessesDi Wang0Xi Zhang1Department of Industrial Engineering and Management, Peking University, Beijing 100871, ChinaDepartment of Industrial Engineering and Management, Peking University, Beijing 100871, ChinaEngineering thermal management (ETM) is one of the critical tasks for quality control and system surveillance in many industries, and acquiring the temperature field and its evolution is a prerequisite for efficient thermal management. By harnessing the sensing data from sensor networks, an unprecedented opportunity has emerged for an accurate estimation of the temperature field. However, limited resources of sensor deployment and computation capacity pose a great challenge while modeling the spatiotemporal dynamics of the temperature field. This paper presents a novel temperature field estimation approach to describe the dynamics of a temperature field by combining a physics-specific model and a spatiotemporal Gaussian process. To reduce the computational burden while dealing with a large set of spatiotemporal data, we employ a tapering covariance function and develop an associated parameter estimation procedure. We introduce a case study of grain storage to show the effectiveness and efficiency of the proposed approach.https://www.mdpi.com/2076-3417/9/10/21083D spatiotemporal fieldsensor networksphysics-specific modeltapering covariance function
spellingShingle Di Wang
Xi Zhang
Modeling of a 3D Temperature Field by Integrating a Physics-Specific Model and Spatiotemporal Stochastic Processes
Applied Sciences
3D spatiotemporal field
sensor networks
physics-specific model
tapering covariance function
title Modeling of a 3D Temperature Field by Integrating a Physics-Specific Model and Spatiotemporal Stochastic Processes
title_full Modeling of a 3D Temperature Field by Integrating a Physics-Specific Model and Spatiotemporal Stochastic Processes
title_fullStr Modeling of a 3D Temperature Field by Integrating a Physics-Specific Model and Spatiotemporal Stochastic Processes
title_full_unstemmed Modeling of a 3D Temperature Field by Integrating a Physics-Specific Model and Spatiotemporal Stochastic Processes
title_short Modeling of a 3D Temperature Field by Integrating a Physics-Specific Model and Spatiotemporal Stochastic Processes
title_sort modeling of a 3d temperature field by integrating a physics specific model and spatiotemporal stochastic processes
topic 3D spatiotemporal field
sensor networks
physics-specific model
tapering covariance function
url https://www.mdpi.com/2076-3417/9/10/2108
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