NDLI: A POD Analysis Method for Multi-Media Heat Conduction Problems

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Gao, Xiao-Wei Hu, Jin-Xiu Huang, Shi-Zhang
Copyright Year	2014
Abstract	In this paper, a new POD-based analysis method is proposed for numerical analysis of thermal mechanical engineering problems consisting of multiple media. After the creation of a heat conduction solution database for each medium, the “snapshot” approach of Proper Orthogonal Decomposition (POD) technique is applied to facilitate reduced-order modeling of the unsteady heat conduction behavior. The snapshot matrix is constructed medium by medium by collecting individual medium solutions at different instants in time through a column-wise manner. By means of expressing physical variables in terms of reduced modes at individual medium level, a system of differential equations about time is formed by utilizing the consistency conditions of the physical variables on interface boundaries. The solutions of the problem can be obtained by solving the system of equations at any desired time steps. A numerical example is given to demonstrate the efficiency of the proposed method.
File Format	PDF
ISBN	9780791849569
DOI	10.1115/IMECE2014-36561
Volume Number	Volume 8B: Heat Transfer and Thermal Engineering
Conference Proceedings	ASME 2014 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2014-11-14
Publisher Place	Montreal, Quebec, Canada
Access Restriction	Subscribed
Subject Keyword	Heat conduction Multimedia Databases Numerical analysis Differential equations Mechanical engineering Modeling Principal component analysis
Content Type	Text
Resource Type	Article

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