Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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One-node and two-node hybrid coarse-mesh finite difference algorithm for efficient pin-by-pin core calculation

  • Song, Seongho (Korea Atomic Energy Research Institute) ;
  • Yu, Hwanyeal (Department of Nuclear and Quantum Engineering, Korea Advanced Institute of Science and Technology (KAIST)) ;
  • Kim, Yonghee (Department of Nuclear and Quantum Engineering, Korea Advanced Institute of Science and Technology (KAIST))
  • Received : 2017.07.27
  • Accepted : 2017.12.06
  • Published : 2018.04.25
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Abstract

This article presents a new global-local hybrid coarse-mesh finite difference (HCMFD) method for efficient parallel calculation of pin-by-pin heterogeneous core analysis. In the HCMFD method, the one-node coarse-mesh finite difference (CMFD) scheme is combined with a nodal expansion method (NEM)-based two-node CMFD method in a nonlinear way. In the global-local HCMFD algorithm, the global problem is a coarse-mesh eigenvalue problem, whereas the local problems are fixed source problems with boundary conditions of incoming partial current, and they can be solved in parallel. The global problem is formulated by one-node CMFD, in which two correction factors on an interface are introduced to preserve both the surface-average flux and the net current. Meanwhile, for accurate and efficient pin-wise core analysis, the local problem is solved by the conventional NEM-based two-node CMFD method. We investigated the numerical characteristics of the HCMFD method for a few benchmark problems and compared them with the conventional two-node NEM-based CMFD algorithm. In this study, the HCMFD algorithm was also parallelized with the OpenMP parallel interface, and its numerical performances were evaluated for several benchmarks.

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References

  1. B. Inanov, E. Muller, M. Ouisloumen, K. Ivanov, Embedded lattice transport calculation based on PARAGON-NEM code system for reactor core analysis, in: Int. Conf. On the Physics of Reactors, PHYSOR 2008, 2008. Interlaken, Switzerland.
  2. S. Zhang, C. Tang, H. Huang, Y.A. Chao, "Feasibility of embedding nodal homogenization in next generation methods for 3D pin-by-pin core siumlation, in: Int. Conf. On the Physics of Reactors, PHYSOR 2008, 2008. Interlaken, Switzerland.
  3. M.A. Smith, E.E. Lewis, B.-C. Na, Benchmark on Deterministic Transport Calculations without Spatial Homogenization: a 2-D/3-D MOX Fuel Assembly 3-D Benchmark, Organization for Economic Co-operation and development, Nuclear Energy Agency, 2003.
  4. J.E. Hoogenboom, W.R. Martin, B. Petrovic, Monte Carlo Performance Benchmark for Detailed Power Density Calculation in a Full Size Reactor Core. Benchmark Specification Revision 1.2, July, 2011. http://www.nea.fr/dbprog/MonteCarloPerformnaceBenchmakr.htm.
  5. N.Z. Cho, et al., Overlapping local/global iteration framework for whole-core transport solution, Nucl. Sci. Eng. 175 (2013), 227. https://doi.org/10.13182/NSE12-68
  6. B.M. Kochunas, A Hybrid Parallel Algorithm for the 3-D Method of Characteristic Solution Fo the Boltzmann Tranpsort Equation on High Performance Computer Clusters" (Ph.D. Thesis), University of Michigan, 2013.
  7. B. Cho, Nonoverlapping Local/Global Iterative Method for Three-Dimensional Time-Dependent Nuetron Transport Calculations" (Ph.D. Thesis), Korea Advanced Instititue of Science and Technology, 2016.
  8. A. Yamamoto, K. Tada, Y. Kitamia, Y. Yamane, Performance of the Diffusion and Simplified PN Theories for BWR Pin-by-Pin Fine Mesh Core Analysis, 2007. M&C+SNA 2007, California, USA.
  9. H.C. Shin, Y. Kim, A nonlinear combination of CMFD (Coarse-mesh Finite Difference) and FMFD (Fine-Mesh Finite Difference) methods, in: Proceedings of Korean Nuclear Society Spring Meeting, Pohang, Korea, May, 1999.
  10. D.J. Lee, Thmoas J. Downar, Y. Kim, A nodal and finite difference hybrid method for pin-by-pin heterogeneous three-dimensional light water reactor diffusion calculations, Nucl. Sci. Eng. 146 (2004) 319-339. https://doi.org/10.13182/NSE04-A2412
  11. S.H. Song, H.Y. Yu, Y. Kim, Pin-by-Pin reactor core analysis based on a NEMbased two-level hybrid CMFD algorithm, in: ANS Reactor Physics Topical Meeting, May, 2016. Sunvalley, USA.
  12. S.H. Song, "Pin-by-Pin Core Calculation with NEM-based Two-level CMFD Algorithm" (MS Thesis), KAIST, 2016.
  13. T. Downar, et al., PARCS v2.6 U.S NRC Core Neutronics Simulator: Theory Manual, Purdue University, USA, 2004.
  14. Brian Christensen, Three-dimensional Static and Dynamic Reactor Calculations by the Nodal Expansion Method, Riso National Laboratory, DK-4000 Roskilde, Denmark, May, 1985.
  15. OpenMP API, OpenMP Applicaion Program Interface, July, 2013. Version 4.0, http://www.openmp.org/mp-documents/OpenMP4.0.0.pdf.
  16. R. Magnus, Hestenes, Eduard Stiefel, Methods of conjugate gradients for solving linear systems, J. Res. Natl. Bur. Stand. 49 (6) (Dec, 1952).
  17. Wolfram Research, Inc., Mathematica, 2016. Version 11.0, Champaign, IL.
  18. H.S. Khalil, The Application of Nodal Methods to PWR Analysis (Ph.D. Thesis), Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, MA, 1983.
  19. B. Cho, N.Z. Cho, Y. Kim, Theory Manual for the Rectangular Threedimensional Diffusion Nodal Code COREDAX-2 Version 1.5, 2015. KINS/HR-1356 Rev.1, NURAPT-2015-02, KAIST/KINS.
  20. B. Cho, N.Z. Cho, Y. Kim, User's Manual for the Rectangular Three-dimensional Diffusion Nodal Code COREDAX-2 Version 1.5, 2015. KINS/HR-1355 Rev.1, NURAPT-2015-01, KAIST/KINS.

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