Variable dynamic mode decomposition for estimating time eigenvalues in nuclear systems

Conference · Fri Jul 01 04:00:00 EDT 2022

DOI:https://doi.org/10.1080/00295639.2022.2142025· OSTI ID:23178750

Smith, Ethan; Variansyah, Ilham; McClarren, Ryan G. ^[1]

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1. Department of Aerospace and Mechanical Engineering, University Notre Dame, Notre Dame, IN (United States)

An extension to the Dynamic Mode Decomposition (DMD) method for calculating time eigenvalues (also known as alpha eigenvalues) that removes the requirement of a constant time step is derived and demonstrated. The new method, called variable-dynamic mode decomposition (V-DMD), is shown to be accurate when computing eigenvalues for systems that were infeasible with DMD due to a large separation in time scales. The alpha eigenvalues of an infinite medium neutron transport problem with delayed neutrons and consequently having multiple, very different relevant time scales are computed. Furthermore, V-DMD is shown to be of similar accuracy to the original DMD approach when computing eigenvalues in other systems where DMD can be used. (authors)

• Research Organization: American Nuclear Society - ANS, La Grange Park, IL 60526 (United States)
• OSTI ID: 23178750
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
CALCULATION METHODS
EIGENVALUES
REACTOR KINETICS EQUATIONS
VALIDATION