Ck. Im et Sp. Chang, Non-linear transient heat transfer analysis based on lanczos co-ordinates using pseudo-force method, COMMUN NUM, 15(9), 1999, pp. 629-639
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
This paper describes a reduced finite element formulation for mildly non-li
near transient heat transfer analysis problems based on the Lanczos algorit
hm. in the proposed reduced formulation, all material non-linearities of ir
radiation boundary elements are included using the pseudo-force method. Num
erical time integration of the reduced formulation is conducted by the Gale
rkin method. The results of numerical examples demonstrate the applicabilit
y and the accuracy of the proposed method for transient heat transfer analy
sis when restricted to mildly non-linear situations. In particular, the exa
mple of a bridge under environmental thermal condition shows that the propo
sed method is about 20 times faster, without loss of solution stability and
accuracy, than a direct integration method for the unreduced formulation.
Copyright (C) 1999 John Wiley & Sons, Ltd.