Transient non-linear heat conduction-radiation problems - A boundary element formulation

A novel boundary-only formulation for transient temperature fields in bodie s of non-linear material properties and arbitrary non-linear boundary condi tions has been developed. The option for self-irradiating boundaries has be en included in the formulation. Heat conduction equation has been partially linearized by Kirchhoffs transformation. The result has been discretized b y the dual reciprocity boundary element method. The integral equation of he at radiation has been discretized by the standard boundary element method. The coupling of the resulting two sets of equations has been accomplished b y static condensation of the radiative heat fluxes arising in both sets. Th e final set of ordinary differential equations has been solved using the Ru nge-Kutta solver with automatic time step adjustment. The algorithm proved to be robust and stable. Numerical examples are included. Copyright (C) 199 9 John Wiley & Sons, Ltd.