Estimation of heat transfer parameters by using trained POD-RBF and Grey Wolf Optimizer

Vietnam Journal of Mechanics

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Field Value
 
Title Estimation of heat transfer parameters by using trained POD-RBF and Grey Wolf Optimizer
 
Creator Nguyen, Minh Ngoc
Nguyen, Nha Thanh
Truong, Thien Tich
 
Subject inverse analysis; Grey Wolf Optimizer; heat transfer parameters identification; Proper Orthogonal Decomposition (POD); Radial Basis Function (RBF)
 
Description The article presents a numerical model for estimation of heat transfer parameters, e.g. thermal conductivity and convective coefficient, in two-dimensional solid bodies under steady-state conduction. This inverse problem is stated as an optimization problem, in which input is reference temperature data and the output is the design variables, i.e. the thermal properties to be identified. The search for optimum design variables is conducted by using a recent heuristic method, namely Grey Wolf Optimizer. During the heuristic search, direct heat conduction problem has to be solved several times. The set of heat transfer parameters that lead to smallest error rate between computed temperature field and reference one is the optimum output of the inverse problem. In order to accelerate the process, the model order reduction technique Proper-Orthogonal-Decomposition (POD) is used. The idea is to express the direct solution (temperature field) as a linear combination of orthogonal basis vectors. Practically, a majority of the basis vectors can be truncated, without losing much accuracy. The amplitude of this reduced-order approximation is then further interpolated by Radial Basis Functions (RBF). The whole scheme, named as trained POD-RBF, is then used as a surrogate model to retrieve the heat transfer parameters.
 
Publisher Publishing House for Science and Technology
 
Contributor
 
Date 2020-12-27
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier http://vjs.ac.vn/index.php/vjmech/article/view/15015
10.15625/0866-7136/15015
 
Source Vietnam Journal of Mechanics; Vol 42, No 4 (2020); 401-414
Vietnam Journal of Mechanics; Vol 42, No 4 (2020); 401-414
0866-7136
0866-7136
 
Language eng
 
Relation http://vjs.ac.vn/index.php/vjmech/article/view/15015/pdf
http://vjs.ac.vn/index.php/vjmech/article/downloadSuppFile/15015/3715
 
Rights Copyright (c) 2020 Vietnam Academy of Science and Technology
 

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