Analysis of Hybrid MC/Deterministic Methods for Transport Problems Based on Low-Order Equations Discretized by Finite Volume Schemes
<|reference_start|>Analysis of Hybrid MC/Deterministic Methods for Transport Problems Based on Low-Order Equations Discretized by Finite Volume Schemes: This paper presents hybrid numerical techniques for solving the Boltzmann transport equation formulated by means of low-order equations for angular moments of the angular flux. The moment equations are derived by the projection operator approach. The projected equations are closed exactly using a high-order transport solution. The low-order equations of the hybrid methods are approximated with a finite volume scheme of the second-order accuracy. Functionals defining the closures in the discretized low-order equations are calculated by Monte Carlo techniques. In this study, we analyze effects of statistical noise and discretization error on the accuracy of the hybrid transport solution.<|reference_end|>
@article{novellino2024analysis,
    title={Analysis of Hybrid MC/Deterministic Methods for Transport Problems Based
  on Low-Order Equations Discretized by Finite Volume Schemes},
    author={Vincent N. Novellino and Dmitriy Y. Anistratov},
    journal={arXiv preprint arXiv:2403.05673},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.05673},
    primaryClass={math.NA cs.NA}
}