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arXiv · 2306.11600

iQMC: Iterative Quasi-Monte Carlo for k-Eigenvalue Neutron Transport Simulations

Samuel Pasmann·Ilham Variansyah·C. T. Kelley·Ryan G. McClarren
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Abstract

The Iterative Quasi-Monte Carlo method, or iQMC, replaces standard quadrature techniques used in deterministic linear solvers with Quasi-Monte Carlo simulation for more accurate and efficient solutions to the neutron transport equation. This work explores employing iQMC in the Monte-Carlo Dynamic Code (MCDC) to solve k-eigenvalue problems for neutron transport with both the standard power iteration and the generalized Davidson method, a Krylov Subspace method. Results are verified with the 3-D, 2-group, Takeda-1 Benchmark problem.

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Samuel Pasmann, Ilham Variansyah, C. T. Kelley, Ryan G. McClarren. 2023-06-20. iQMC: Iterative Quasi-Monte Carlo for k-Eigenvalue Neutron Transport Simulations. https://arxiv.org/abs/2306.11600

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