A Diffusion Monte Carlo–Based Algorithm for Estimation of Higher Modes of a Reactor. (2nd September 2019)

• Record Type: Journal Article
• Authors: Srivastava, Argala; Singh, K. P.; Mallick, Amod Kishore; Kannan, Umasankari; Degweker, S. B.
• Is Part Of: Nuclear science and engineering. Volume 193:Number 9(2019)
• Page Start: 1044
• Page End: 1053
• Publication Date: 2019-09-02
• Subjects: Diffusion Monte Carlo -- eigenvalues -- eigenvectors -- fission matrix -- perturbation theory; Nuclear energy -- Periodicals; Nuclear engineering -- Periodicals; Nuclear energy; Nuclear engineering; Periodicals; 539.705
• DOI: 10.1080/00295639.2019.1596721
• Languages: English
• ISSNs: 0029-5639

Abstract

Abstract: The use of the Monte Carlo (MC) method for obtaining higher modes is an active area of current research. The method faces several difficulties in its implementation for practical problems. The study of simpler models in this context may be expected to provide insights into some of these problems. This technical note describes the development of a fission matrix algorithm based on the diffusion theory MC model to obtain fundamental and higher λ eigenvalues and eigenvectors (modes) of a reactor. A method for estimating variance in the estimated eigenvalues using first-order perturbation theory is also developed. The algorithm has been implemented in the space-time–kinetics MC code KINMC. The performance of the method for calculating higher eigenvalues and higher eigenvectors has been verified through comparison of the eigenvalues thus obtained with the results of other deterministic codes. Results of computation of eigenvalues and eigenvectors up to six modes are presented in this technical note.