The Random Ray Method for neutral particle transport
Author(s)
Tramm, John R; Smith, Kord S; Forget, Benoit; Siegel, Andrew R
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© 2017 Elsevier Inc. 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.
Date issued
2017Department
Massachusetts Institute of Technology. Department of Nuclear Science and EngineeringJournal
Journal of Computational Physics
Publisher
Elsevier BV