The Random Ray Method for neutral particle transport

JOURNAL OF COMPUTATIONAL PHYSICS

卷:342

Article

Tramm, John R.^1,2  Smith, Kord S.¹  Forget, Benoit¹  Siegel, Andrew R.² 

[1] MIT, Dept Nucl Sci Engn, 77 Massachusetts Ave,24-107, Cambridge, MA 02139 USA

[2] Argonne Natl Lab, Math & Comp Sci Dept, 9700 S Cass Ave, Argonne, IL 60439 USA

关键词: Method of characteristics;    Neutron transport;    Reactor simulation;    High performance computing;    Stochastic methods;   

DOI  :  10.1016/j.jcp.2017.04.038

来源: Elsevier

【 摘 要 】

A new approach to solving partial differential equations (PDEs) based on the method of characteristics (MOC) is presented. The Random Ray Method (TRRM) uses a stochastic rather than deterministic discretization of characteristic tracks to integrate the phase space of a problem. TRRM is potentially applicable in a number of transport simulation fields where long characteristic methods are used, such as neutron transport and gamma ray transport in reactor physics as well as radiative transfer in astrophysics. In this study, TRRM is developed and then tested on a series of exemplar reactor physics benchmark problems. The results show extreme improvements in memory efficiency compared to deterministic MOC methods, while also reducing algorithmic complexity, allowing for a sparser computational grid to be used while maintaining accuracy. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free