Jacobian-Free Newton-Krylov Nodal Expansion Methods with Physics-Based Preconditioner and Local Elimination for Three-Dimensional and Multigroup k-Eigenvalue Problems-Reference-Cited by-同舟云学术

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Jacobian-Free Newton-Krylov Nodal Expansion Methods with Physics-Based Preconditioner and Local Elimination for Three-Dimensional and Multigroup k-Eigenvalue Problems

Published:2018-03-06 Issue:3 Volume:190 Page:238-257
ISSN:0029-5639
Container-title:Nuclear Science and Engineering
language:en
Short-container-title:Nuclear Science and Engineering

Author:

Zhou Xiafeng¹,Li Fu²

Affiliation:

1. Huazhong University of Science and Technology, School of Energy and Power Engineering, Department of Nuclear Engineering and Technology, Wuhan 430074, China

2. Tsinghua University, Institute of Nuclear and New Energy Technology, Beijing 100084, China

Funder

Chinese National S&T Major Project

Chinese National Natural Science Foundation Project

Publisher

Informa UK Limited

Subject

Nuclear Energy and Engineering

Link

https://www.tandfonline.com/doi/pdf/10.1080/00295639.2018.1435136

Reference17 articles.

1. Jacobian-free Newton–Krylov methods: a survey of approaches and applications

2. Newton’s Method for Solving k-Eigenvalue Problems in Neutron Diffusion Theory

3. Acceleration of k-Eigenvalue/Criticality Calculations Using the Jacobian-Free Newton-Krylov Method

4. Newton’s Method for the Computation of k-Eigenvalues in SN Transport Applications

5. Solving phase appearance/disappearance two-phase flow problems with high resolution staggered grid and fully implicit schemes by the Jacobian-free Newton–Krylov Method

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Physics‐based preconditioning of Jacobian‐free Newton–Krylov solver for Navier–Stokes equations using nodal integral method;International Journal for Numerical Methods in Fluids;2023-09-20

2. Operator split, Picard iteration and JFNK methods based on nonlinear CMFD for transient full core models in the coupling multiphysics environment;Annals of Nuclear Energy;2023-04

3. Jacobian-free Newton Krylov coarse mesh finite difference algorithm based on high-order nodal expansion method for three-dimensional nuclear reactor pin-by-pin multiphysics coupled models;Computer Physics Communications;2023-01

4. Jacobian-free Newton Krylov two-node coarse mesh finite difference based on nodal expansion method;Nuclear Engineering and Technology;2022-08

5. Jacobian-free Newton Krylov two-node coarse mesh finite difference based on nodal expansion method for multiphysics coupled models;Annals of Nuclear Energy;2022-04

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