AN ITERATIVE CVBEM SOLUTION OF NONLINEAR HEAT-TRANSFER PROBLEMS

An iterative technique is presented to extend the applicability of the CVBEM to the solution of heat transfer problems with nonlinear radiat ive 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 underrel axation leads to rapid convergence of the solution. Example problems a re presented. The iterative approach is numerically validated and the CVBEM is shown to yield very accurate solutions in few iterations.