The Random Ray Method for neutral particle transport
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 a...
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| Veröffentlicht in: | Journal of computational physics 2017-08, Vol.342 (C), p.229-252 |
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| container_issue | C |
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| container_title | Journal of computational physics |
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| creator | Tramm, John R. Smith, Kord S. Forget, Benoit Siegel, Andrew R. |
| description | 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. |
| doi_str_mv | 10.1016/j.jcp.2017.04.038 |
| format | Article |
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| ispartof | Journal of computational physics, 2017-08, Vol.342 (C), p.229-252 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Astrophysics Computational grids Computational physics Computer simulation Extreme values Gamma rays High performance computing Method of characteristics Neutral particles Neutron transport Partial differential equations Radiative transfer Reactor physics Reactor simulation Reactors Simulation Stochastic methods Studies Transport |
| title | The Random Ray Method for neutral particle transport |
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