Title

Cvbem Solution Of Nonlinear Heat Conduction Problems

Abstract

An iterative technique is presented for the CVBEM solution of nonlinear heat conduction problems. The method is developed to first address nonlinear radiative boundary conditions. Nonlinearities arising from the variation of the thermal conductivity with temperature are addressed by means of the Kirchhoff transform, and the iterative technique developed for the nonlinear radiative boundary condition is readily adapted for the Kirchhoff transformed problem. Simple substitution with under-relaxation leads to rapid convergence of the solution. Example problems are presented to numerically validate the iterative approach. The CVBEM is shown to yield accurate solutions in few iterations.

Publication Date

1-1-1992

Publication Title

International Conference on Boundary Element Technology

Number of Pages

457-471

Document Type

Article; Proceedings Paper

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/978-94-011-2872-8_31

Socpus ID

0026989836 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0026989836

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