Modified YIX Method and Pseudoadaptive Angular Quadrature for Ray Effects Mitigation

The ray effects in the YIX method for computation of radiative heat transfer in a three-dimensional nonhomogeneous participating medium are studied. Remedial methods for the efficient treatment of ray effects are presented. To demonstrate the effectiveness of the methods, ray effects caused by 1) abrupt step changes in the boundary conditions and 2) the stepwise variation of the source function are discussed. In the modified 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 numerical integration of the exact integral formulation of the emission components and the latter by the YIX method separately. A pseudoadaptive angular quadrature is implemented in the YIX method. This quadrature uses a different number of angular abscissas in different directions according to the source and the severity of the ray effects. The results by the modified YIX method and a pseudoadaptive angular quadrature method are compared with the solutions obtained by the quadrature method (QM). The QM solution is used as the basis of comparison because of its high-order accuracy

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