## The QM-YIX method and adaptive angular quadrature for ray effects mitigation

The ray effects of YIX method for the radiative heat transfer in a three-dimensional nonhomogeneous participating medium are studied in this paper. Different remedial methods for efficient treatment of the ray effects are presented. To demonstrate the effectiveness of the methods, ray effects caused by (1) abrupt step change in the boundary conditions and (2) the stepwise variation of the source function are discussed. In the QM-YIX method, the mitigation of the ray effects is achieved by dividing the radiative transfer into emission and scattering components, where the former is solved by the quadrature method (QM) and the later bymore »