Efficient solution of the simplified \(P_N\) equations

DOI10.1016/j.jcp.2014.12.014zbMath1351.82123OpenAlexW2060647649WikidataQ57703564 ScholiaQ57703564MaRDI QIDQ728984

Steven P. Hamilton, Thomas M. Evans

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.2014.12.014

zbMATH Keywords

radiation transporteigenvalue solversnuclear criticality

Mathematics Subject Classification ID

Nuclear reactor theory; neutron transport (82D75)

Related Items (4)

An assessment of coupling algorithms for nuclear reactor core physics simulations ⋮ Hot zero power reactor calculations using the Insilico code ⋮ Pin-wise homogenization for \(\mathrm{SP}_N\) neutron transport approximation using the finite element method ⋮ A Block Arnoldi Method for the SPN Equations

Uses Software

• Trilinos
• JDQZ
• ML
• IFPACK
• Belos
• SCALE 6.2
• Amesos2

Cites Work

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• Iterative performance of various formulations of the \(SP_N\) equations
• Multigrid in energy preconditioner for Krylov solvers
• Davidson's method and preconditioning for generalized eigenvalue problems
• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• Block-Arnoldi and Davidson methods for unsymmetric large eigenvalue problems
• Preconditioning techniques for large linear systems: A survey
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer
• Theoretical Aspects of the SimplifiedP_nEquations
• Iterative Methods for Neutron Transport Eigenvalue Problems
• An overview of the Trilinos project
• Generalizations of Davidson’s Method for Computing Eigenvalues of Sparse Symmetric Matrices
• The Davidson Method
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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