Moving meshes to solve the time-dependent neutron diffusion equation in hexagonal geometry

作者：

Highlights：

• The simulation of transients on nuclear reactors involving control rods movements present the rod-cusping problem.

• To avoid this problem, a moving mesh scheme based on hp-finite element method is proposed for the time dependent neutron diffusion equation.

• 1D and 3D benchmarks have been studied obtaining accurate results for coarse mesh discretizations.

摘要

•The simulation of transients on nuclear reactors involving control rods movements present the rod-cusping problem.•To avoid this problem, a moving mesh scheme based on hp-finite element method is proposed for the time dependent neutron diffusion equation.•1D and 3D benchmarks have been studied obtaining accurate results for coarse mesh discretizations.

论文关键词：Rod-cusping problem,Moving mesh scheme,Finite element method,Neutron diffusion equation

论文评审过程：Received 14 October 2014, Revised 12 March 2015, Available online 30 March 2015, Version of Record 15 August 2015.

论文官网地址：https://doi.org/10.1016/j.cam.2015.03.040