An Iterative Cvbem Solution Of Nonlinear Heat-Transfer Problems
Title - Alternative
Eng. Anal. Bound. Elem.
Complex Variable Boundary Element Method; Nonlinear Heat Transfer; Iterative Methods; Boundary-Element Method; Multiply Connected Domains; Potential Problems; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications
An iterative technique is presented to extend the applicability of the CVBEM to the solution of heat transfer problems with nonlinear radiative boundary conditions. Additionally, nonlinearities arising from the variation of the thermal conductivity with temperature are addressed by means of the Kirchhoff transform. Simple substitution with underrelaxation leads to rapid convergence of the solution. Example problems are presented. The iterative approach is numerically validated and the CVBEM is shown to yield very accurate solutions in few iterations.
Engineering Analysis with Boundary Elements
Kassab, A. J. and Chesla, S., "An Iterative Cvbem Solution Of Nonlinear Heat-Transfer Problems" (1993). Faculty Bibliography. 1648.