Author(s)

D.R. Rousse, G. Gautier & J.-F. Sacadura

Abstract

This paper presents a skewed upwinding procedure for application to the Control Volume Finite Element Method (CVFEM) in the context of radi- ation heat transfer problems involving participating media. The proposed first order scheme is stable, economical, accurate and it inherently precludes the possibility of computing negative coefficients in the discretized algebraic equations while accounting for the direction of radiant propagation. The suggested first-order skew positive coefficients upwind scheme (SPCUS) is validated by application to several basic two-dimensional test problems, ac- knowledged by the radiative heat transfer community: its performance has proven to be excellent. 1 Introduction In the discrete solution of radiation heat transfer problems, a Control Vol- ume Finite Element Method (CVFEM) has recently been proposed [1]. One

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