Abstract
Recently, several nonlinear spatial discretization methods have been developed for the linear Boltzmann transport equation. One of these is the highly accurate nonlinear corner-balance (NLCB) method, which yields a strictly positive solution. Because the discrete NLCB scheme is algebraically nonlinear, special iterative methods are needed to solve it efficiently. In this paper, we describe a fast new iterative algorithm, based on the nonlinear averaged flux method, for solving the discrete NLCB equations. We present numerical results that illustrate the efficiency of the new algorithm.
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