Title
An efficient hybrid BEM-RBIE method for solving conjugate heat transfer problems
Abstract
In this paper, a hybrid boundary element method (BEM) - radial basis integral equation (RBIE) method is derived to solve conjugate heat transfer (CHT) problems. The BEM is used to solve the heat transfer in the solid region, while the fluid region is solved by using the RBIE. The capability of the RBIE to calculate the potential and the spatial gradients, while advantageous when knowledge of the spatial gradients is of primary importance, can lead to unnecessary increases in the computational cost when solving CHT problems due to the additional equations imposed per node. By using the BEM to solve the heat transfer in the solids, a significant reduction in the size of the system matrix compared to the case of using the RBIE for both the heat transfer in the solid and fluid regions can be achieved. A case study that examines the CHT inside the human eye is solved using the derived hybrid BEM-RBIE method.
Year
DOI
Venue
2014
10.1016/j.camwa.2013.09.020
Computers & Mathematics with Applications
Keywords
Field
DocType
solid region,fluid region,efficient hybrid bem-rbie method,hybrid bem-rbie method,additional equation,hybrid boundary element method,conjugate heat transfer problem,heat transfer,conjugate heat transfer,spatial gradient,case study,cht problem,natural convection,radial basis functions,boundary element method
Mathematical optimization,Radial basis function,System matrix,Mathematical analysis,Heat transfer,Integral equation,Boundary element method,Natural convection,Conjugate heat transfer,Mathematics
Journal
Volume
Issue
ISSN
66
12
0898-1221
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
E. H. Ooi11710.03
Viktor Popov252.55