Calculating infinite-medium α-eigenvalue spectra with Monte Carlo using a transition rate matrix method
Abstract
The time-dependent behavior of the energy spectrum in neutron transport was investigated with a formulation, based on continuous-time Markov processes, for computing α eigenvalues and eigenvectors in an infinite medium. In this study, a research Monte Carlo code called “TORTE” (To Obtain Real Time Eigenvalues) was created and used to estimate elements of a transition rate matrix. TORTE is capable of using both multigroup and continuous-energy nuclear data, and verification was performed. Eigenvalue spectra for infinite homogeneous mixtures were obtained, and an eigenfunction expansion was used to investigate transient behavior of the neutron energy spectrum.
- Authors:
-
- Univ. of Michigan, Ann Arbor, MI (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1223665
- Alternate Identifier(s):
- OSTI ID: 1247414
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Engineering and Design
- Additional Journal Information:
- Journal Name: Nuclear Engineering and Design; Journal ID: ISSN 0029-5493
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Betzler, Benjamin R., Kiedrowski, Brian C., Brown, Forrest B., and Martin, William R. Calculating infinite-medium α-eigenvalue spectra with Monte Carlo using a transition rate matrix method. United States: N. p., 2015.
Web. doi:10.1016/j.nucengdes.2015.07.052.
Betzler, Benjamin R., Kiedrowski, Brian C., Brown, Forrest B., & Martin, William R. Calculating infinite-medium α-eigenvalue spectra with Monte Carlo using a transition rate matrix method. United States. https://doi.org/10.1016/j.nucengdes.2015.07.052
Betzler, Benjamin R., Kiedrowski, Brian C., Brown, Forrest B., and Martin, William R. Fri .
"Calculating infinite-medium α-eigenvalue spectra with Monte Carlo using a transition rate matrix method". United States. https://doi.org/10.1016/j.nucengdes.2015.07.052. https://www.osti.gov/servlets/purl/1223665.
@article{osti_1223665,
title = {Calculating infinite-medium α-eigenvalue spectra with Monte Carlo using a transition rate matrix method},
author = {Betzler, Benjamin R. and Kiedrowski, Brian C. and Brown, Forrest B. and Martin, William R.},
abstractNote = {The time-dependent behavior of the energy spectrum in neutron transport was investigated with a formulation, based on continuous-time Markov processes, for computing α eigenvalues and eigenvectors in an infinite medium. In this study, a research Monte Carlo code called “TORTE” (To Obtain Real Time Eigenvalues) was created and used to estimate elements of a transition rate matrix. TORTE is capable of using both multigroup and continuous-energy nuclear data, and verification was performed. Eigenvalue spectra for infinite homogeneous mixtures were obtained, and an eigenfunction expansion was used to investigate transient behavior of the neutron energy spectrum.},
doi = {10.1016/j.nucengdes.2015.07.052},
journal = {Nuclear Engineering and Design},
number = ,
volume = ,
place = {United States},
year = {Fri Aug 28 00:00:00 EDT 2015},
month = {Fri Aug 28 00:00:00 EDT 2015}
}
Web of Science
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