具有各向异性散射的输运问题的二阶矩方法
Second-Moment Method for Transport Problems with Anisotropic Scattering
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中文总结 AI 辅助
提出用于求解含各向异性散射的粒子输运方程的新非线性两级加速法，用投影算子法构建，通过低阶方程和非线性延拓算子得出高阶输运方程，经集总线性间断伽辽金法近似，给出数值结果。
中文摘要 AI 辅助
本文提出一种新的非线性两级加速方法，用于求解具有各向异性散射的粒子输运方程。该方法用投影算子法构建。利用投影算子和二阶矩方法的封闭形式定义角矩的低阶方程。对散射项应用非线性延拓算子以导出高阶输运方程。高阶和低阶方程的非线性系统等同于原始输运方程。方程在空间上用集总线性间断伽辽金方法近似。给出数值结果以证明所提出数值方法的性能。
英文摘要
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.
