Simplified spherical harmonic method for coupled electron-photon transport calculations
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abstract
In this paper we apply the simplified spherical harmonic [Formula Presented] approximation to coupled electron-photon transport problems in two-dimensional cylindrical geometry in the energy range from roughly 10 keV to 10 MeV. The [Formula Presented] equations represent an asymptotic approximation that does not necessarily converge to the exact transport solution as [Formula Presented] but can sometimes produce solutions that are much more accurate than diffusion theory at a fraction of the cost of a full transport treatment. To our knowledge, the [Formula Presented] approximation has previously been applied only to neutron transport problems. We investigate the applicability of the [Formula Presented] method to satellite electronics shielding calculations. In addition to applying the approximation, we generalize certain iterative convergence acceleration techniques originally developed for the one-dimensional [Formula Presented] (discrete ordinates) equations, and apply them to the two-dimensional [Formula Presented] equations. We present numerical comparisons with Monte Carlo calculations for the purpose of examining both the accuracy of the [Formula Presented] approximation and the computational efficiency of our solution techniques. 1998 The American Physical Society.
