37
Views
2
CrossRef citations to date
0
Altmetric
Technical Paper

On the Accuracy of a Common Monte Carlo Surface Flux Grazing Approximation

, &
Pages 115-127 | Published online: 12 May 2017

References

  • F. H. CLARK, “Variance of Certain Flux Estimators Used in Monte Carlo Calculations,” Nucl. Sci. Eng., 27, 235 (1967).
  • A. DUBI, “Monte Carlo Calculations for Nuclear Reactors,” CRC Handbook of Nuclear Reactors Calculations, Vol. II, Chap. II, Y. RONEN, Ed., CRC Press, Boca Raton, Florida (1986).
  • S. A. DUPREE and S. K. FRALEY, A Monte Carlo Primer: A Practical Approach to Radiation Transport, Chap. 7, Kluwer Academic/Plenum Publishers, New York (2002).
  • X-5 MONTE CARLO TEAM, “MCNP—A General Monte Carlo N-Particle Transport Code, Version 5,” Chap. 2, Vol. I, LA-UR-03-1987, Los Alamos National Laboratory (Apr. 24, 2003).
  • J. A. FAVORITE, “Surface and Volume Integrals of Uncollided Adjoint Fluxes and Forward-Adjoint Flux Products in Arbitrary Three-Dimensional Geometries Using MCNP,” Trans. Am. Nucl. Soc., 101, 633 (2009).
  • K. C. BLEDSOE, J. A. FAVORITE, and T. ALDEMIR, “Using the Levenberg-Marquardt Method for Solutions of Inverse Transport Problems in One- and Two-Dimensional Geometries,” Nucl. Technol. (to be published) (2011).
  • A. B. CHILTON, J. K. SHULTIS, and R. E. FAW, Principles of Radiation Shielding, Chap. 6, Prentice-Hall, Englewood Cliffs, New Jersey (1987).
  • J. J. DUDERSTADT and L. J. HAMILTON, Nuclear Reactor Analysis, Chap. 4, John Wiley & Sons, New York (1976).
  • W. H. PRESS, S. A. TEUKOLSKY, W. T. VETTERLING, and B. P. FLANNERY, Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. (reprinted with corrections), Chap. 6, Cambridge University Press (1994).
  • J. A. FAVORITE, K. C. BLEDSOE, and D. I. KETCHESON, “Surface and Volume Integrals of Uncollided Adjoint Fluxes and Forward-Adjoint Flux Products,” Nucl. Sci. Eng., 163, 73 (2009).
  • R. PIESSENS, E. DEDONCKER-KAPENGA, C. UEBERHUBER, and D. KAHANER, QUADPACK: A Subroutine Package for Automatic Integration, Springer-Verlag, New York (1983); available on the Internet at http://people.scs.fsu.edu/~burkardt/f_src/quadpack/quadpack.html; www.netlib.org (current as of October, 5, 2009).
  • M. H. KALOS, “On the Estimation of Flux at a Point by Monte Carlo,” Nucl. Sci. Eng., 16, 111 (1963).
  • T. E. BOOTH, “Ex Post Facto Monte Carlo Variance Reduction,” Nucl. Sci. Eng., 148, 391 (2004).
  • R. R. PICARD and T. E. BOOTH, “Ensuring Finite Moments in Monte Carlo Simulations via Iterated Ex Post Facto Sampling,” Math. Comput. Simulation, 79, 2106 (2009).
  • K. BANERJEE and W. R. MARTIN, “Kernel Density Estimation Method for Monte Carlo Tallies with Unbounded Variance,” Trans. Am. Nucl. Soc., 101, 430 (2009).
  • Wolfram Mathematica Online Integrator; integrals.wolfram.com.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.