scholarly journals Boundary element techniques for some two-dimensional anisotropic heat conduction problems

2005 ◽  
Author(s):  
Kin Kei Choo
Keyword(s):  
Heat Conduction ◽  
Boundary Element ◽  
Two Dimensional ◽  
Anisotropic Heat Conduction

Numerical Anisotropic Heat Conduction Solutions Using Boundary-Fitted Coordinate Systems

1980 ◽  
Vol 102 (2) ◽  
pp. 308-311 ◽  
Author(s):  
J. C. McWhorter ◽  
M. H. Sadd
Keyword(s):  
Heat Conduction ◽  
Solution Method ◽  
Rectangular Domain ◽  
Two Dimensional ◽  
Coordinate Systems ◽  
Eccentric Annulus ◽  
Multiply Connected ◽  
Solid Disk ◽  
System Technique ◽  
Anisotropic Heat Conduction

A numerical method is presented and applied to the solution of two-dimensional steady-state, anisotropic heat conduction problems. The solution method employs the boundary-fitted coordinate system technique which transforms the region under study onto a fixed rectangular domain where computations are done easily. Consequently, the procedure eliminates the shape of the boundary as a complicating factor. The method is quite general and can handle any multiply-connected, arbitrary-shaped region. Two examples, a solid disk and an eccentric annulus, are worked out to demonstrate the utility of the method. Isotherm results check with previously published solutions.

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