Spatial discretization error in an artificial benchmark model of oblique laser incidence by finite volume approximation for radiative heat transfer

Abstract

Abstact: The spatial discretization error in a finite volume method approximation for radiative heat transfer is investigated. An artificial benchmark model for oblique laser incidence on a two-dimensional rectangle containing a semi-transparent medium is proposed, in addition to using reference data from the Monte Carlo method. Within the framework of the current model, it is shown that numerical scattering in the finite volume method is affected by the spatial grid values and the different spatial discretization schemes to a large degree. Numerical scattering also varies with the degree of absorption coefficient deviation. Numerical scattering is distributed in a symmetrical profile along the laser incidence direction, and all of the schemes show symmetrical cross-scattering. © 2012 The Author(s).