Acknowledgement
This work was supported by the National Natural Science Foundation of China (11975097).
References
- E.E. Lewis, W.F. Miller, Computational Methods of Neutron Transport, John Wiley & Sons Inc, New Jersey, 1984.
- K.D. Lathrop, Remedies for ray effects, Nucl. Sci. Eng. 45 (3) (1971) 255-268. https://doi.org/10.13182/NSE45-03-255
- G. Longoni, A. Haghighat, Development of New Quadrature Sets with the 'Ordinate Splitting' Technique, Salt Lake City, USA, in: ANS International Meeting on Mathematical Methods for Nuclear Applications, 2001.
- G. Longoni, A. Haghighat, Development and application of the regional angular refinement technique and its application to non-conventional problems, Seoul, Korea, in: Proceedings of PHYSOR 2002 ANS Topical Meeting, 2002.
- N. Dai, B. Zhang, Y.X. Chen, et al., Adaptive discontinuous finite element quadrature sets over an icosahedron for discrete ordinates method, Nucl. Sci. Tech. 32 (2021) 98. https://doi.org/10.1007/s41365-021-00934-7
- J.C. Stone, Adaptive Discrete-Ordinates Algorithms and Strategies, Texas A&M University, Texas, 2007.
- J.J. Jarrell, An Adaptive Angular Discretization Method for Neutral-Particle Transport in Three-Dimensional Geometries, Texas A&M University, Texas, 2010.
- C.Y. Lau, Adaptive Discrete-Ordinates Quadratures Based on Discontinuous Finite Elements over Spherical Quadrilaterals, Texas A&M University, Texas, 2016.
- B. Zhang, L. Zhang, C. Liu, et al., Goal-oriented regional angular adaptive algorithm for the SN equations, Nucl. Sci. Eng. 189 (2) (2018) 120-134. https://doi.org/10.1080/00295639.2017.1394085
- R.E. Alcouffe, R.D. O'Dell, F.W. Brinkley, A first-collision source method that satisfies discrete SN transport balance, Nucl. Sci. Eng. 105 (2) (1990) 198-203. https://doi.org/10.13182/NSE90-A23749
- E.Y. Winarno, Semi-analytical Partial N'th Collision Source Correction for Multi-Dimensional SN Photon Transport Calculations, The University of Arizona, Tucson, 1993.
- W.J. Walters, Development of the Adaptive Collision Source Method for Discrete Ordinates Radiation Transport, Virginia Polytechnic Institute and State University, Blacksburg, 2015.
- X.Y. Wang, B. Zhang, N. Dai, et al., Multicollision source method for discrete ordinates neutron transport calculation, Ann. Nucl. Energy 156 (2021) 108216. https://doi.org/10.1016/j.anucene.2021.108216
- J.W. Kim, Y.O. Lee, Aetius solutions for Kobayashi 3D benchmarks with the first collision source method on the volume source and unstructured tetrahedral mesh, Ann. Nucl. Energy 113 (2018) 446-469. https://doi.org/10.1016/j.anucene.2017.11.034
- M.L. Williams, Generalized contributon respons theory, Nucl. Sci. Eng. 108 (1991) 355-383. https://doi.org/10.13182/NSE90-33
- K. Kobayashi, N. Sugimura, Y. Nagaya, 3D radiation transport benchmark problems and results for simple geometries with void region, Prog. Nucl. Energy 39 (2) (2001) 119-144. https://doi.org/10.1016/S0149-1970(01)00007-5
- Y.X. Chen, B. Zhang, L. Zhang, et al., ARES: a parallel discrete ordinates transport code for radiation shielding applications and reactor physics analysis, Sci. Technol. Nucl. Install. (2017) 1-11, 2596727, 2017.