J.M. Zhao, L.H. Liu. Three-Dimensional  Transient Radiative Transfer Modeling Using Discontinuous Spectral Element Method. AIAA Journal of Thermophysics and Heat Transfer, 2009 (inpress). download

Abstract:  A discontinuous spectral element method (DSEM) is presented to solve transient radiative transfer problems in a three-dimensional semitransparent medium. The performance of the DSEM in modeling three-dimensional transient radiative transfer processes is examined. The predictions of the DSEM agree well with reported solutions in the literature. The DSEM is demonstrated to be efficient and accurate in capturing the sharp wave fronts of a transient radiative transfer process. Because of high accuracy of spatial discretization, accurate results can be obtained by DSEM with relatively few elements.