The recently developed lattice Boltzmann equation (LBE) framework [1] for radiation transport is extended to solve time-dependent nonequilibrium neutron transport problems. Dynamics of radiation and material energy exchange is modeled by coupling the radiation transport equation with the material energy equation in a one-dimensional isotropically scattering homogenous medium. The LBE equations are obtained for corresponding radiative or neutron transport in constant source and reactor criticality search problems. Furthermore, a two-dimensional D2Q8 & D2Q16 LBEs are proposed for solving the time-dependent neutron transport equation in a heterogenous media (e.g., a checkerboard lattice with pure scattering and absorbing cells). The results obtained with LBE are in good agreement with the existing discrete ordinate method results for the benchmark problem.
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2016 24th International Conference on Nuclear Engineering
June 26–30, 2016
Charlotte, North Carolina, USA
Conference Sponsors:
- Nuclear Engineering Division
ISBN:
978-0-7918-5001-5
PROCEEDINGS PAPER
Lattice Boltzmann Method for Solving Time-Dependent Radiation Transport and Reactor Criticality Problems
A. Gairola,
A. Gairola
Kansas State University, Manhattan, KS
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Hitesh Bindra,
Hitesh Bindra
Kansas State University, Manhattan, KS
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Suneet Singh
Suneet Singh
IIT Bombay, Mumbai, India
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A. Gairola
Kansas State University, Manhattan, KS
Hitesh Bindra
Kansas State University, Manhattan, KS
Gaurav Agarwal
IIT Bombay, Mumbai, India
Suneet Singh
IIT Bombay, Mumbai, India
Paper No:
ICONE24-60058, V001T02A005; 8 pages
Published Online:
October 25, 2016
Citation
Gairola, A, Bindra, H, Agarwal, G, & Singh, S. "Lattice Boltzmann Method for Solving Time-Dependent Radiation Transport and Reactor Criticality Problems." Proceedings of the 2016 24th International Conference on Nuclear Engineering. Charlotte, North Carolina, USA. June 26–30, 2016. V001T02A005. ASME. https://doi.org/10.1115/ICONE24-60058
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