Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference (M&C+SNA+MC 2015) Nashville, Tennessee, USA 19-23 April 2015 Volume 1 of 4 ISBN: 978-1-5108-0804-1 Printed from e-media with permission by: Curran Associates, Inc. 57 Morehouse Lane Red Hook, NY 12571 Some format issues inherent in the e-media version may also appear in this print version. Copyright© (2015) by the American Nuclear Society All rights reserved. Printed by Curran Associates, Inc. (2015) For permission requests, please contact the American Nuclear Society at the address below. American Nuclear Society 555 North Kensington Avenue LaGrange Park, Illinois 60526 Phone: (800) 323-3044 (708) 352-6611 Fax: (708) 352-0499 www.ans.org Additional copies of this publication are available from: Curran Associates, Inc. 57 Morehouse Lane Red Hook, NY 12571 USA Phone: 845-758-0400 Fax: 845-758-2634 Email: [email protected] Web: www.proceedings.com TABLE OF CONTENTS VOLUME 1 MONTE CARLO METHODS Application of a Discretized Phase Space Approach to the Analysis of Monte Carlo Uncertainties ........................................................1 Thomas M. Sutton Estimating the Effective Neutron Generation Time with Monte Carlo Correlated Sampling................................................................18 David P. Griesheimer, Thomas P. Goter New Algorithm for Monte Carlo Particle-Transport Simulation to Recover Event-by-Event Kinematic Correlations Of Reactions Emitting Charged Particles...............................................................................................................................35 T. Ogawa, T. Sato, S. Hashimoto, K. Niita Methods and Techniques for Monte Carlo Physics Validation...................................................................................................................46 Gabriela Hoff, Tullio Basaglia, Chansoo Choi, Min Cheol Han, Chan Hyeong Kim, Han Sung Kim, Sung Hun Kim, Maria Grazia Pia, Paolo Saracco, Marcia Begalli Mean Free Path Based Kernel Density Estimators for Capturing Edge Effects in Reactor Physics Problems ....................................58 Timothy P. Burke, Brian C. Kiedrowski, William R. Martin Kernel Density Estimation for Grey Implicit Monte Carlo Radiation Transport....................................................................................71 A. M. Holgado, R. T. Holladay, A. B. Wollaber, M. A. Cleveland, T. J. Urbatsch, R. G. McClarren Progress on Long Period Random Number Generator in Monte Carlo Code RMC ...............................................................................83 Feng Yang, Jingang Liang, Kan Wang, Ganglin Yu, Ding She Development of a Monte-Carlo Based Method for Calculating the Effect of Stationary Fluctuations ..................................................93 E. E. Pettersen, C. Demaziere, K. Jareteg, T. Schonfeldt, E. Nonbol, B. Lauritzen Real Variance Estimation of BEAVRS Benchmark in McCARD Monte Carlo Eigenvalue Calculations...........................................110 Ho Jin Park, Hyun Chul Lee, Jin Young Cho, Hyung Jin Shim, Chang Hyo Kim Accelerated Path Generation and Visualization for Numerical Integration of Feynman Path Integrals for Radiative Transfer..........................................................................................................................................................................................122 Paul Kilgo, Jerry Tessendorf Relativistic Kinematics for Photoneutron Production in Monte Carlo Transport Calculations ..........................................................134 Edmund Caro, Paul K. Romano, Stephen C. Marin, David P. Griesheimer Variance Reduction Applications Using Visual MCNP .............................................................................................................................148 Randy Schwarz, Oyeon Kum, Angel Licea, Mauritius Hiller Explicit Modelling of Double-Heterogeneous Pebble-Bed Reactors with the RMC Code .....................................................................160 Ding She, Fei Xie, Fu Li, Shichang Liu, Kan Wang Using Fission Chain Analysis to Inform Probability of Extinction/Initiation Calculations with MCATK..........................................171 Steven Nolen Monte Carlo Performance Analysis for Varying Cross Section Parameter Regimes ............................................................................180 Ronald O. Rahaman, Andrew R. Siegel, Paul K. Romano Implementation of a Least Squares Temperature Fit of the Thermal Scattering Law in MCNP6 ......................................................192 Andrew T. Pavlou, Wei Ji, Forrest B. Brown Direct, On-The-Fly Calculation of Unresolved Resonance Region Cross Sections in Monte Carlo Simulations................................202 Jonathan A. Walsh, Benoit Forget, Kord S. Smith, Brian C. Kiedrowski, Forrest B. Brown Implicit Monte Carlo Adaptations for Tetrahedral Meshes with Node-Based Unknowns....................................................................217 Alex R. Long, Ryan G. McClarren, Jacob I. Waltz, John G. Wohlbier Monte Carlo Application Toolkit (MCATK): Advances for 2015 ............................................................................................................231 Jeremy Sweezy, Steve Nolen, Terry Adams, Travis Trahan, Lori Pritchett-Sheats Using Fractional Cascading to Accelerate Cross Section Lookups in Monte Carlo Neutron Transport Calculations ......................242 Amanda L. Lund, Andrew R. Siegel, Benoit Forget, Colin Josey, Paul K. Romano An Interim Strategy for the Treatment of Temperature-dependent Nuclear Data in Monte Carlo Particle Transport Codes .............................................................................................................................................................................................250 Paul K. Romano, Timothy H. Trumbull, Thomas M. Sutton Metrics for Diagnosing Undersampling in Monte Carlo Tally Estimates................................................................................................268 Christopher M. Perfetti, Bradley T. Rearden Momentum Deposition in Curvilinear Coordinates ...................................................................................................................................281 M. A. Cleveland, A. B. Wollaber, R. B. Lowrie, K. G. Thompson, G. M. Rockefeller Correlated Sampling Monte Carlo for Critical Boron Search..................................................................................................................292 Aaron M. Bevill, William R. Martin Tracking to Nonaligned and to Distant Tori ...............................................................................................................................................305 Kenneth A. Van Riper Uncertainty Underprediction in Coupled Time-Dependent Monte Carlo Simulations with Serpent 2 ...............................................313 Ville Valtavirta Adjoint Sensitivity and Uncertainty Analysis in Monte Carlo Wielandt Calculations ..........................................................................325 Sung Hoon Choi, Hyung Jin Shim Stabilization Technique of Modified Power Iteration Method for Monte Carlo Simulation of Neutron Transport Eigenvalue Problem........................................................................................................................................................................................334 Peng Zhang, Hyunsuk Lee, Deokjung Lee DETERMINISTIC TRANSPORT METHODS An Explicit, Positivity-Preserving Flux-Correct Transport Scheme for the Transport Equation Using Continuous Finite Elements ...............................................................................................................................................................................................347 Joshua Hansel , Jean Ragusa, Jean-Luc Guermond Numerical and Analytical Studies of the Spectrum of Parallel Block Jacobi Iterations for Solving the Weighted Diamond Difference Form Of The SN Equations ........................................................................................................................................362 Yousry Y. Azmy, Dmitriy Anistratov, R. Joseph Zerr A New Multiple Balance Method for Spatially Discretizing the SN Equations........................................................................................374 Ben C. Yee, Edward W. Larsen A Non-negative, Non-linear Petrov-Galerkin Method for Bilinear Discontinuous Differencing of the SN Equations........................388 Peter G. Maginot, Jean C. Ragusa, Jim E. Morel Theoretical Investigation of Noise Propagation in Low-Order Equation for the Scalar Flux...............................................................400 Anil K. Prinja Evaluation of PWR and BWR Calculational Benchmarks from NURERG/CR-6115 Using the Transfx Nuclear Analysis Software ...........................................................................................................................................................................................412 B. P. Richardson Domain Decomposition Method for 2D and 3D Transport Calculations Using Hybrid MPI/OPENMP Parallelism ........................424 R. Lenain, E. Masiello, F. Damian, R. Sanchez Stabilization Methods for CMFD Acceleration...........................................................................................................................................442 M. Jarrett, B. Kelley, B. Kochunas, T. Downar, E. Larsen A Linear Stability