Advanced search
Publication Cover
Journal of Computational and Theoretical Transport Volume 43, 2014 - Issue 1-7: Papers from the 23rd International Conference on Transport Theory
Submit an article Journal homepage
139
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Calculating α Eigenvalues of One-Dimensional Media with Monte Carlo

B. R. BetzlerDepartment of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan, USACorrespondence[email protected]
,
W. R. MartinDepartment of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan, USA
,
B. C. KiedrowskiMonte Carlo Codes Group, Los Alamos National Laboratory, Los Alamos, New Mexico, USA
&
F. B. BrownMonte Carlo Codes Group, Los Alamos National Laboratory, Los Alamos, New Mexico, USA
Pages 38-49 | Published online: 14 Jul 2014

REFERENCES

  • Anderson, E., Bai, Z., Bischof, C., Balackford, S., Demmel, J., Dongarra, J., et al. (1999). LAPACK Users’ Guide. 3rd ed. Philadelphia: Society for Industrial and Applied Mathematics.
  • Betzler, B.R., Kiedrowski, B.C., Martin, W.R., Brown, F.B. (2013). Calculating α eigenvalues in a continuous-energy infinite medium with Monte Carlo. In Proc. M&C 2013, Sun Valley, Idaho.
  • Brockway, D., Soran, P., Whalen, P. (1985). Monte-Carlo Eigenvalue Calculation. Los Alamos National Laboratory.
  • Dahl, E.B., Protopopescu, V., Sjöstrand, N.G. (1983). On the relation between decay constants and critical parameters in monoenergetic neutron transport. Nuclear Science and Engineering 83:374–379.
  • Hoogenboom, J.E. (2002). Numerical calculation of the delayed-α eigenvalue using a standard criticality code. In Proc. PHYSOR 2002 International Conference on the New Frontiers of Nuclear Technology, Seoul, South Korea.
  • Kópházi, J., Lathouwers, D. (2012). Three-dimensional transport calculation of multiple alpha modes in subcritical systems. Annals of Nuclear Energy 50:167–174.
  • Kornreich, D.E., Parsons, D.K. (2005). Time-eigenvalue calculations in multi-region cartesian geometry using Green’s functions. Annals of Nuclear Energy 32:964–985.
  • Larsen, E.W., Zweifel, P.F. (1974). On the spectrum of the linear transport operator. Journal of Mathematical Physics 15:1987–1997.
  • Lathouwers, D. (2003). Iterative computation of time-eigenvalues of the neutron transport equation. Annals of Nuclear Energy 30:1793–1806.
  • Lehner, J., Wing, G.M. (1955). On the spectrum of an unsymmetric operator arising in the transport theory of neutrons. Communications on Pure and Applied Mathematics 8:217–234.
  • Lehoucq, R.B., Sorensen, D.C., Yang, C. (1998). ARPACK Users’ Guide: Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods. Philadelphia: Society for Industrial and Applied Mathematics.
  • Modak, R.S., Gupta, A. (2003). A simple scheme for the direct evaluation of the time-eigenvalues of neutron transport equation. Annals of Nuclear Energy 30:211–222.
  • Pfeiffer, W. (1971). RTMODE and RZMODE—Two-Dimensional Computer Codes for Simulating Pulsed-Neutron Experiments. Technical Report Gulf-GA-B10877, Gulf General Atomic.
  • Ross, S.M. (1996). Stochastic Processes. New York: John Wiley & Sons.
  • Singh, K.P., Degweker, S.B., Modak, R.S., Singh, K. (2011). Iterative method for obtaining the prompt and delayed alpha-modes of the diffusion equation. Annals of Nuclear Energy 38:1996–2004.
  • Wing, G.M. (1962). An Introduction to Transport Theory. New York: John Wiley & Sons.
  • Yamamoto, T. (2011). Higher order α mode eigenvalue calculation by Monte Carlo power iteration. Progress in Nuclear Science and Technology 2:826–835.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.