Convergence analysis of 2-D/1-D coupling methods for the three-dimensional neutron diffusion equation

Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments

Volumn , Issue , 2004, Pages 1833-1838

  Lee, Hyun Chul ^a   Lee, Deokjung ^a   Downar, Thomas J ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

2 D 1 D Coupling Methods; Fourier Convergence Analysis

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; DIFFUSION; FOURIER TRANSFORMS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; NEUTRONS;

2-D/1-D COUPLING METHODS; FOURIER CONVERGENCE ANALYSIS; NEUTRON DIFFUSION EQUATIONS; NUMERICAL INSTABILITIES;

CONVERGENCE OF NUMERICAL METHODS;

EID: 22344437466     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (6)

1. J. Y. CHO, H. G. JOO, K. Kim, and S. Q. ZEE, "Three-dimensional Whole Core Transport Calculation Methodology of the DeCART Code," KAERI/TR-2365/2003, KAERI, 2003
2. D. LEE, T. J. DOWNAR, and Y. KIM, "A Nodal and Finite Difference Hybrid Method for Pin-by-pin Heterogeneous Three-Dimensional LWR Diffusion Calculation," to be published in Nucl. Sci. Eng.
3. Private communication with J. Y. CHO and H. G. JOO.
4. Gregory R. Cefus and Edward W. Larsen, "Stability Analysis of Coarse-Mesh Rebalance," Nucl. Sci. Eng., 105, 31-39 (1990)
5. Deokjung Lee and Thomas J. Downar, "Convergence Analysis of the Nonlinear Coarse Mesh Finite Difference Method," Proc. M&C 2003, Gatlinburg, Tennessee, April 6-11, 2003, CD-ROM, American Nucl. Soc. (2003)
6. K. S. SMITH, "Nodal Method Storage Reduction by Nonlinear Iteration," Trans. Am. Nucl. Soc., 44, 265 (1983).