A Parallel Algorithm for 2-D Cylindrical Geometry Transport Equation with Interface Corrections
In order to make conventional implicit algorithm to be applicable in large scale parallel computers , an interface prediction and correction of discontinuous finite element method is presented to solve time-dependent neutron transport equations under 2-D cylindrical geometry. Domain decomposition is adopted in the computational domain.The numerical experiments show that our parallel algorithm with explicit prediction and implicit correction has good precision, parallelism and simplicity. Especially, it can reach perfect speedup even on hundreds of processors for large-scale problems.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1070683Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1524
 W.H. Reed and T.R. Hill, Triangular mesh methods for the neutron transport equation, Tech. Report LA-UR-73-479, Los Alamos Scientific Laboratory, 1973.
 F.Lianxiang and Y.Shulin. Researches on 2-D neutron transport solver NTXY2D. Technical report, Institute of Applied Physics and Computational Mathematics in Beijing, 1999.10.
 E.E. Lewis, W.F. Miller. Computational Methods of Neutron Transport (M). New York: John Wiley & Sons Publisher, 1984.
 R.S.Baker, K.R.Koch. An Sn algorithm for the massively parallel CM-200 computer (J). Nuclear Science and Engineering, 1998, Vol.128 : 312-320.
 S.Plimpton, B.Hendrickson, S.Burns, W.McLendon. Parallel algorithms for radiation transprt on unstructured grids (A). Proceeding of SuperComputing-2000.
 Shawn D Pautz. An Algorithm for Parallel Sn Sweeps on Unstructured Meshes (J). Nuclear Science and Engineering ,2002 ,140 (2) :111-136.
 Mo Z, Fu L. Parallel flux sweeping algorithm for neutron transport on unstructured grid. Journal of Supercomputing, 2004, 30(1): 5-17.
 WEI Jun-xia , YANG Shu-lin, FU Lian-xiang. A Parallel Domain Decomposition Method for Neutron Transport Equations Under 2-D Cylindrical Geometry(J). Chinese J Comput Phys, 2010, 27(1):1-7.
 Yuan Guangwei, Hang Xudeng. A parallel algorithm for the particle transport SN method with interface corrections (J). Chinese J Comput Phys, 2006, 23(6):637-641.
 Zhenying Hong,Guangwei Yuan, Aparallel algorithm with interface prediction and correction for spherical geometric transport equation. Prog.Nucl.Energy,51,268-273(2009).
 Zhang Aiqing , Mo Zeyao. Parallelization of the 2D multi-group radiation transport code LARED-R-1 (J). Chinese J Comput Phys, 2007, 24(2): 146-152.
 Yang Shulin, Mo Zeyao, Shen Longjun. The Domain Decomposition Parallel Iterative Algorithm foe the 3-D Transport Issue (J). Chinese J Comput Phys, 2004, 21(1): 1-9.
 T.A. Wareing, J.M. McGhee, J.E. Morel and S.D. Pautz, Discontinuous Finite Methods Sn Methods on 3-D unstructured Grids, in Proceeding of International Conference on Mathematics and Computation, Reactor Physics and Environment Analysis in Nuclear Applications, 1999, Madrid, Spain.
 SWEEP3D:3D Discrete Ordinates Neutron Transport Benchmark Codes, http://www.llnl.gov/asci_benchmarks/asci/limited/sweep3d/sweep3d_rea dme.html.