Higher Order Continuous and Discontinuous Galerkin Methods for solving combined Conductive and Radiative Heat Transfer

This article deals with a numerical solution of combined radiation and conduction heat transfer in gray participating (non-scattering) medium in a two-dimensional domain using triangular meshes. The radiative transfer equation is solved using the high order Discontinuous Galerkin method with an upwind numerical flux. The energy balance equation is discretized with a high finite order element method. A stability and error analysis are performed for the numerical methods to solve the two-equations. The radiative conductive heat transfer problem is examined under different types of boundary conditions. High performances of the proposed technique, in terms of computational requirements, accuracy and stability, are shown through numerical examples. Copyright c © 2013 John Wiley & Sons, Ltd.