Solution Of The Radiative Transfer Problems In
Two-dimensional Participating Cylindrical
Medium With Isotropic Scattering Using The
SKN Approximation
Author(s)
N. Döner & Z. Altaç
Abstract
The SKN (Synthetic Kernel) approximation is applied to a two-dimensional
homogeneous cylindrical participating medium with isotropic scattering. The
SKN equations are tested against benchmark problems consisting of cold
homogeneous participating medium. The solutions are compared with those
obtained by various methods available in the literature. The SK3 approximation
results for geometries of very large and very small aspect ratios are in excellent
agreement with those of benchmark solutions. The SK3 solutions with moderate
aspect ratios are accurate within several percent.
Keywords: synthetic kernel method, participating medium, isotropic scattering,
two-dimensional cylindrical medium.
1 Introduction
The SKN approximation which was developed to solve neutron transport equation
can also be applied to radiative integral transfer equation (RITE) [1]. The
significance of solving the integral equations is that one has to deal with the
spatial variables rather than spatial and angular variables that exist in radiative
transfer equation (RTE)-Boltzmann’s equation. Thus the solutions obtained from
the integral equations do not exhibit ray effect which is a phenomena that
plagues discrete ordinates and similar methods. Ray effect is the result of
discretization of angular variables.
Keywords
synthetic kernel method, participating medium, isotropic scattering,
two-dimensional cylindrical medium.
Related Book
Other papers in this volume
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