1 |
K.S. Smith, J.D. Rhodes III, Full-core, 2-D, LWR core calculations with CASMO-4E, in: PHYSOR 2002, October 7-10, Seoul, 2002.
|
2 |
Mpact Team, MPACT Theory Manual Version 2.0.0," Tech. Rep. CASL-U-2015-0078-000, Consortium for Advanced Simulation of LWRs, 2015.
|
3 |
W.L. Briggs, V.E. Henson, S.F. Mccormick, A Multigrid Tutorial, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2000.
|
4 |
B.T. Adams, J.E. Morel, A two-grid acceleration scheme for the multigroup $$ equations with neutron upscattering, Nucl. Sci. Eng. 115 (1993) 253-264.
DOI
|
5 |
B.C. Yee, B. Kochunas, E.W. Larsen, Y. Xu, Space-dependent Wielandt shift methods for multigroup diffusion eigenvalue problems, Nucl. Sci. Eng. (2017), http://dx.doi.org/10.1080/00295639.2017.1350001.
DOI
|
6 |
H. Finnemann, R. Boeer, R. Mueller, Y.I. Kim, Adaptive multi-level techniques for the solution of nodal transport equations, in: Proceedings of the Third European Conference on Multigrid Methods, Bonn, Germany, 2006.
|
7 |
R. Van Geemert, Synergies of acceleration methodologies for whole-core N/ TH-coupled steady-state and transient computations, in: Proceedings on the International Conference on the Physics of Reactors (PHYSOR 2006), 2006.
|
8 |
R. Van Geemert, A multi-level surface rebalancing approach for efficient convergence acceleration of 3D full core multi-group fine grid nodal diffusion iterations, Ann. Nucl. Energy 63 (2014) 22-37.
DOI
|
9 |
Z. Zhong, T.J. Downar, Y. Xu, M.D. Dehart, K.T. Clarno, Implementation of two-level coarse-mesh finite difference acceleration in an arbitrary geometry, two-dimensional discrete ordinates transport method, Nucl. Sci. Eng. 158 (3) (2008) 289-298.
DOI
|
10 |
S. Schunert, Y. Wang, F. Gleicher, J. Ortensi, B. Baker, V. Laboure, C. Wang, M. Dehart, R. Martineau, A flexible nonlinear diffusion acceleration method for the S N transport equations discretized with discontinuous finite elements, J. Comput. Phys. 338 (2017) 107-136.
DOI
|
11 |
L.R. Cornejo, D.Y. Anistratov, Nonlinear diffusion acceleration method with multigrid in energy for k-eigenvalue neutron transport problems, Nucl. Sci. Eng. 184 (2016) 4.
|
12 |
D.Y. Anistratov, L.R. Cornejo, J.P. Jones, Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems, Journal of Computational Physics 346 (1 October 2017) 278-294.
DOI
|
13 |
S. Balay, S. Abhyankar, M.F. Adams, J. Brown, P. Brune, K. Buschelman, L. Dalcin, V. Eijkhout, W.D. Gropp, D. Kaushik, M.G. Knepley, L.C. Mcinnes, K. Rupp, B.F. Smith, S. Zampini, H. Zhang, H. Zhang, PETSc Users Manual," Tech. Rep. ANL-95/11-Revision 3.7, Argonne National Laboratory, 2016.
|
14 |
G. Pomraning, Grey radiative transfer, J. Quant. Spectrosc. Ra. 11 (6) (1971) 597-615.
DOI
|
15 |
H. Park, D. Knoll, R. Rauenzahn, A. Wollaber, J. Densmore, A consistent, moment-based, multiscale solution approach for thermal radiative transfer problems, Transport. Theor. Stat. 41 (3-4) (2012) 284-303.
DOI
|
16 |
J.I. Yoon, H.G. Joo, Two-level coarse mesh finite difference formulation with multigroup source expansion nodal kernels, J. Nucl. Sci. Technol. 45 (7) (2008) 668-682.
DOI
|
17 |
R.E. Alcouffe, The multigrid method for solving the two-dimensional multigroup diffusion equation, in: Advances in Reactor Computations, Proceedings of a Topical Meeting, March 28-31, Salt Lake City, 1983.
|
18 |
E.L. Wachspress, Iterative Solution of Elliptic Systems, Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1966.
|
19 |
T.J. DOWNAR, et al., PARCS: purdue advanced reactor core simulator, in: PHYSOR 2002, October 7-10, Seoul, 2002.
|
20 |
A. Brandt, Multi-level adaptive solutions to boundary-value problems, Math. Comput. 31 (138) (1977) 333-390.
DOI
|
21 |
R. Alcouffe, A. Brandt, J. Dendy JR., J. Painter, The multi-grid method for the diffusion equation with strongly discontinuous coefficients, SIAM J. Sci. Stat. Comp. 2 (4) (1981) 430-454.
DOI
|
22 |
E. Lewis, M. Smith, N. Tsoulfanidis, G. Palmiotti, T. Taiwo, R. Blomquist, Benchmark specification for Deterministic 2-D/3-D MOX fuel assembly transport calculations without spatial homogenization (C5G7 MOX), NEA/NSC, 2001.
|
23 |
A.T. Godfrey, VERA Core Physics Benchmark Progression Problem Specifications, Tech. Rep. CASL-U-2012-0131-004, Oak Ridge National Laboratory, 2014.
|
24 |
K.S. Kim, M.L. Williams, D. Wiarda, A. Godfrey, Development of a New 47-group Library for the CASL Neutronics Simulators, 2015.
|
25 |
R.B. Morgan, Davidson's method and preconditioning for generalized eigenvalue problems, J. Comput. Phys. 89 (1) (1990) 241-245.
DOI
|