Convergence analysis of coarse mesh finite difference method applied to two-group three-dimensional neutron diffusion problem

References

• Yoon , J.I. and Joo , H.G. 2008 . Two-level coarse mesh finite difference formulation with multigroup source expansion nodal kernels . J. Nucl. Sci. Technol , 45 : 668 – 682 .
   Web of Science ®Google Scholar
• Yamamoto , A. , Endo , T. , Tabuchi , M. , Sugimura , N. , Ushio , T. , Mori , M. , Tatsumi , M. and Ohoka , Y. 2010 . AEGIS: an advanced lattice physics code for light water reactor analyses . Nucl. Eng. Technol , 42 : 500 – 519 .
   Web of Science ®Google Scholar
• Shim , C.B. , Jung , Y.S. , Yoon , J.I. and Joo , H.G. 2011 . Application of backward differentiation formula to spatial reactor kinetics calculation with adaptive time step control . Nucl. Eng. Technol , 43 : 531 – 546 .
   Web of Science ®Google Scholar
• Chao , Y.A. 2000 . Coarse Mesh Finite Difference Methods and Applications . PHYSOR 2000 . May 7–12 2000 .
   Google Scholar
• Smith , K.S. 1983 . Nodal method storage reduction by non-linear iteration . Trans. Am. Nucl. Soc , 44 : 265
   Google Scholar
• Joo , H.G. , Barber , D.A. , Jiang , G. and Downar , T.J. 1998 . PARCS: a multi-dimensional two-group reactor kinetics code based on the nonlinear analytic nodal method , Purdue University . PU/NE-98-26
   Google Scholar
• Shin , H.C. , Kim , Y.H. and Kim , Y.B. 1999 . One-node coarse-mesh finite difference algorithm for fine-mesh finite difference operator . Trans. Am. Nucl. Soc , 81 : 150
   Google Scholar
• Smith , K.S. and Rhodes , J.D. III . 2002 . Full-Core, 2-D, LWR Core Calculations with CASMO-4E . Proc. ANS Reactor Physics Topical Meeting, PHYSOR 2002 . October 7–10 2002 . [CD-ROM]
   Google Scholar
• Joo , H.G. , Cho , J.Y. , Kim , H.Y. , Zee , S.Q. and Chang , M.H. 2002 . Dynamic Implementation of the Equivalence Theory in the Heterogeneous Whole Core Transport Calculation . Proc. ANS Reactor Physics Topical Meeting, PHYSOR 2002 . October 7–10 2002 . [CD-ROM]
   Google Scholar
• Cho , N.Z. and Park , C.J. 2003 . A Comparison of Coarse Mesh Rebalance and Coarse Mesh Finite Difference Accelerations for the Neutron Transport Calculations . Nuclear Mathematical and Computational Sciences: A Century in Review, American Nuclear Society . April 6–11 2003 . [CD-ROM]
   Google Scholar
• Lee , D. , Downar , T.J. and Kim , Y. 2003 . Convergence Analysis of the Nonlinear Coarse Mesh Finite Difference Method . Nuclear Mathematical and Computational Sciences: A Century in Review, American Nuclear Society . April 6–11 2003 . [CD-ROM]
   Google Scholar
• Lee , D. 2003 . Convergence analysis of the coarse mesh finite difference method , West Lafayette , IN : School of Nuclear Engineering, Purdue University . Ph.D. thesis
   Google Scholar
• Lee , D. , Downar , T.J. and Kim , Y. 2004 . Convergence analysis of the coarse mesh finite difference method for one-dimensional fixed source neutron diffusion problem . Nucl. Sci. Eng , 147 : 127 – 147 .
   Web of Science ®Google Scholar
• Lee , D. , Downar , T.J. and Kim , Y. 2004 . Numerical Convergence Analysis of the CMFD Method for the Three-Dimensional Two-group Diffusion Problem . PHYSOR2004 . April 25–29 2004 . [CD-ROM]
   Google Scholar
• Zika , M.R. and Downar , T.J. 1993 . Numerical divergence effects of equivalence theory in the nodal expansion method . Nucl. Sci. Eng , 115 : 219 – 232 .
   Web of Science ®Google Scholar
• Joo , H.G. One-Node Solution Based Nonlinear Analytic Nodal Method . Proc. KNS Spr. Mtg . [CD-ROM].
   Google Scholar
• Lee , C.-H. 2001 . A multi-level acceleration method for the multi-group SP3 approximation to the neutron transport equation , West Lafayette , IN : School of Nuclear Engineering, Purdue University . Ph.D. thesis
   Google Scholar
• Finnemann , H. and Galati , A. 1992 . NEACRP 3-D LWR core transient benchmark , Nuclear Energy Agency . NEACRP-L-335 (Rev. 1)
   Google Scholar