Generalized Hebert method for double-heterogeneity problem

Zhaoyu Liang

doi:10.1016/j.pnucene.2024.105573

Generalized Hebert method for double-heterogeneity problem

2025-02-01

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DOI：10.1016/j.pnucene.2024.105573

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The double-heterogeneity problem, caused by stochastic media in the dispersion fuel, poses challenges to nuclear reactor physics calculations. Hebert model is a classical double-heterogeneity calculation method derived from collision probability method (CPM), and has been implemented in some lattice physics codes. However, it is not convenient for the Hebert CPM model to calculate the dispersion fuels with complex geometry. A generalized Hebert method is proposed in this paper by introducing the concept of equivalent flux, and it can be easily implemented within any deterministic neutron transport solver. The generalized Hebert method is subsequently implemented in the Laputa code based on method of characteristics (MOC). Finally, a numerical validation is conducted between the Hebert-MOC model and Monte Carlo explicit modeling, as well as the Sanchez-MOC model, demonstrating the generalized Hebert method is very prospective.

Keyword:

Stochastic media

Double-heterogeneity

Hebert model

Collision probability method

Method of characteristics

Generalized Hebert method for double-heterogeneity problem

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