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Main Authors: Liu, Guangwei, Tan, Shuang, Wang, Yanli
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.10178
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author Liu, Guangwei
Tan, Shuang
Wang, Yanli
author_facet Liu, Guangwei
Tan, Shuang
Wang, Yanli
contents The unified gas-kinetic wave-particle (UGKWP) method is proposed for the neutron transport equation, addressing the inherent multiscale nature of neutron propagation in both optically thin and thick regimes. UGKWP couples macroscopic diffusion and microscopic transport processes within a unified time-dependent framework, allowing a smooth transition between the free transport and diffusion regimes. This method is readily extended to multi-group neutron transport models and is applicable to both steady-state and eigenvalue problems. Several numerical examples, including the 1D and 3D single-group and 3D multi-group problems, are studied, indicating UGKWP a promising framework for scalable and accurate simulation of multigroup neutron transport in complex geometries.
format Preprint
id arxiv_https___arxiv_org_abs_2509_10178
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The unified gas kinetic wave-particle method for the neutron transport equation
Liu, Guangwei
Tan, Shuang
Wang, Yanli
Numerical Analysis
The unified gas-kinetic wave-particle (UGKWP) method is proposed for the neutron transport equation, addressing the inherent multiscale nature of neutron propagation in both optically thin and thick regimes. UGKWP couples macroscopic diffusion and microscopic transport processes within a unified time-dependent framework, allowing a smooth transition between the free transport and diffusion regimes. This method is readily extended to multi-group neutron transport models and is applicable to both steady-state and eigenvalue problems. Several numerical examples, including the 1D and 3D single-group and 3D multi-group problems, are studied, indicating UGKWP a promising framework for scalable and accurate simulation of multigroup neutron transport in complex geometries.
title The unified gas kinetic wave-particle method for the neutron transport equation
topic Numerical Analysis
url https://arxiv.org/abs/2509.10178