Solving 3-D Neutron Diffusion Equation with JFNK Algorithm

Wu Wenbin; Li Qing; Sun Wei; Wei Yanqin

doi:10.13832/j.jnpe.2015.S2.0017

Volume 36 Issue S2

Feb. 2025

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Wu Wenbin, Li Qing, Sun Wei, Wei Yanqin. Solving 3-D Neutron Diffusion Equation with JFNK Algorithm[J]. Nuclear Power Engineering, 2015, 36(S2): 17-19. doi: 10.13832/j.jnpe.2015.S2.0017

Citation:

Wu Wenbin, Li Qing, Sun Wei, Wei Yanqin. Solving 3-D Neutron Diffusion Equation with JFNK Algorithm[J]. Nuclear Power Engineering, 2015, 36(S2): 17-19. doi: 10.13832/j.jnpe.2015.S2.0017

Wu Wenbin, Li Qing, Sun Wei, Wei Yanqin. Solving 3-D Neutron Diffusion Equation with JFNK Algorithm[J]. Nuclear Power Engineering, 2015, 36(S2): 17-19. doi: 10.13832/j.jnpe.2015.S2.0017

Citation:

Wu Wenbin, Li Qing, Sun Wei, Wei Yanqin. Solving 3-D Neutron Diffusion Equation with JFNK Algorithm[J]. Nuclear Power Engineering, 2015, 36(S2): 17-19. doi: 10.13832/j.jnpe.2015.S2.0017

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Solving 3-D Neutron Diffusion Equation with JFNK Algorithm

doi: 10.13832/j.jnpe.2015.S2.0017

Science Technology on Reactor System Design Technology Laboratory, Nuclear Power Institute of China, Chengdu, 610041, China

Received Date: 2015-10-30
Rev Recd Date: 2015-11-15

Available Online: 2025-02-15

Abstract

Abstract

In this paper, 3-D neutron diffusion equation was discretized into the generalized eigenvalue problem of large sparse matrix with finite difference method. Then, k_eff and power distributation were obtained by nonlinear algorithm JFNK（Jacobian-Free Newton-Krylov）. Numerical results demonstrated that JFNK algorithm could get high accuracy for 3-D neutron diffusion equation.
- Neutron diffusion equation,
- Finite difference,
- JFNK algorithm