A comparison of acceleration methods for solving the neutron transport \(k\) -eigenvalue problem

DOI10.1016/j.jcp.2014.06.044zbMath1351.82125OpenAlexW2055696693MaRDI QIDQ728689

Jeffrey Willert, Dana A. Knoll, Hyeongkae Park

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.06.044

zbMATH Keywords

neutron transportAnderson accelerationmoment-based accelerationnonlinear Krylov acceleration\(k\) -eigenvalue problemjacobian-free Newton-Krylov

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Nuclear reactor theory; neutron transport (82D75)

Related Items

Multiscale high-order/low-order (HOLO) algorithms and applications, A flexible nonlinear diffusion acceleration method for the \(S_N\) transport equations discretized with discontinuous finite elements, Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems, Numerical solution of turbulence problems by solving Burgers' equation

Uses Software

• JFNK
• CASMO
• NKA

Cites Work

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• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the \(k\)-eigenvalue problem
• Development of a Consistent and Stable Fully Implicit Moment Method for Vlasov--Ampère Particle in Cell (PIC) System
• Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
• Solving Nonlinear Equations with Newton's Method
• A Consistent, Moment-Based, Multiscale Solution Approach for Thermal Radiative Transfer Problems