Second-Moment Method for Transport Problems with Anisotropic Scattering
This paper presents a new nonlinear two-level acceleration method for solving the particle transport equation with anisotropic scattering. The method is formulated with the projection operator approach. The low-order equations are defined for the angular moments using projection operators and closures of the second-moment method. A nonlinear prolongation operator is applied to the scattering term to derive the high-order transport equation. The nonlinear system of high-order and low-order equations is equivalent to the original transport equation. The equations are approximated in space by the lumped linear-discontinuous Galerkin method. Numerical results are presented to demonstrate the performance of the proposed numerical method.
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