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

DOI10.1016/j.cam.2015.03.040zbMath1323.82063OpenAlexW2021133972WikidataQ57758095 ScholiaQ57758095MaRDI QIDQ491027

R. Fayez, A. Vidal-Ferràndiz, Damián Ginestar, Gumersindo Verdú

Publication date: 24 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.03.040

zbMATH Keywords

finite element methodmoving mesh schemeneutron diffusion equationrod-cusping problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Nuclear reactor theory; neutron transport (82D75) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) PDEs in connection with statistical mechanics (35Q82)

Related Items

Multilevel method to compute the lambda modes of the neutron diffusion equation, Editorial: Mathematical modeling and computational methods

Uses Software

• Gmsh
• SLEPc
• deal.ii
• PETSc
• FEAPpv

Cites Work

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• Updating the lambda modes of a nuclear power reactor
• Iterative schemes for the neutron diffusion equation.
• Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM
• Data structures and requirements for hp finite element software
• SLEPc
• deal.II—A general-purpose object-oriented finite element library
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Preconditioning the solution of the time-dependent neutron diffusion equation by recycling Krylov subspaces
• Spectral/hp Element Methods for Computational Fluid Dynamics