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A New Acceleration Method of Additive Angular Dependent Rebalance with Extrapolation for Discrete Ordinates Transport Equation  

Park, Chang-Je (Korea Advanced Institute of Science and Technology)
Cho, Nam-Zin (Korea Advanced Institute of Science and Technology)
Publication Information
Nuclear Engineering and Technology / v.34, no.4, 2002 , pp. 314-322 More about this Journal
Abstract
A new extrapolation method is developed and applied to the additive angular dependent rebalance (AADR) acceleration for discrete ordinates neutron transport calculations. With this extrapolation, the convergence of AADR solution for distinct discretizations between the high- order and low-order equations is remarkably improved and thus the “inconsistent discretization problem” is resolved. Fourier analysis is also performed to find the optimal extrapolation and weighting parameters, which give the smallest spectral radius. The numerical tests demonstrate that the AADR with extrapolation works well as predicted by the Fourier analysis.
Keywords
neutron; transport; calculation; acceleration; extrapolation; fourier analysis;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 C.J. Park and N.Z. Cho, 'A Linear Multiple Balance Method with High Order Accuracy for Discrete Ordinates Neutron Transport Equations,' Annals of Nuclear Energy, 28, 1499 (2001)   DOI   ScienceOn
2 C.J. Park and N.Z. Cho, 'Additive Angular Dependent Acceleration Method of the Discrete Ordinates Transport Calculations,' ANS International Meeting on Mathematical Methods for Nuclear Applications (M&C 2001), September 2001, Salt Lake City, U.S.A. (CD-ROM)
3 R.E. Alcouffe, 'Diffusion Synthetic Acceleration Methods for the Diamond-Differenced Discrete-Ordinates Equations,' Nucl. Sci. Eng., 64, 344 (1977)   DOI
4 S.G. Hong and N.Z. Cho, 'A Rebalance Approach to Nonlinear Iteration for Solving the Neutron Transport Equations,' Annals of Nuclear Energy, 24, 147 (1997)   DOI   ScienceOn
5 S.G. Hong and N.Z. Cho, 'Angle-Dependent Rebalance Factor Method for Nodal Transport Problems in X-V Geometry,' Trans. Am. Nucl. Soc., 79, 139 (1998)
6 N.Z. Cho and C.J. Park, 'An Additive Angular-Dependent Rebalance Method for Neutron Transport Equations,' Trans. Am. Nucl. Soc., 84, 222 (2001)
7 W.F. Miller, Jr. and E.W. Larsen, 'Modified Diffusion Synthetic Acceleration Algorithms,' Nucl. Sci. Eng., 93, 403 (1986)   DOI
8 C.J. Park and N.Z. Cho, 'A New Acceleration Method of Additive Angular Dependent Rebalance with Extrapolation for Discrete Ordinates Transport Equation,' Proceeding of the Korean Nuclear Society Autumn Meeting, October 2001. Suwon (CD-ROM)   과학기술학회마을
9 W.H. Reed, 'The Effectiveness of Acceleration Techniques for Iterative Methods in Transport Theory,' Nucl. Sci. Eng., 125, 257 (1997)   DOI
10 R.E. Alcouffe, et. al., 'DANTSYS: A Diffusion Accelerated Neutral Particle Transport Code System,' LA-12069-M, Los Alamos National Laboratory (1995)