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arXiv · 2305.08983

Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation

Rylan C. Paye·Dmitriy Y. Anistratov·Jim E. Morel·James S. Warsa
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Abstract

In this paper, new implicit methods with reduced memory are developed for solving the time-dependent Boltzmann transport equation (BTE). One-group transport problems in 1D slab geometry are considered. The reduced-memory methods are formulated for the BTE discretized with the linear-discontinuous scheme in space and backward-Euler time integration method. Numerical results are presented to demonstrate performance of the proposed numerical methods.

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Rylan C. Paye, Dmitriy Y. Anistratov, Jim E. Morel, James S. Warsa. 2023-05-15. Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation. https://arxiv.org/abs/2305.08983

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