Spatial modes for the neutron diffusion equation and their computation
Sign Up to like & getrecommendations! Published in 2017 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2017.08.018
Abstract: Abstract Different spatial modes can be defined for the neutron diffusion equation such as the λ , α and γ -modes. These modes have been successfully used for the analysis of nuclear reactor characteristics. In… read more here.
Keywords: modes neutron; diffusion equation; neutron diffusion; spatial modes ... See more keywords
Fast solution of neutron diffusion problem by reduced basis finite element method
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2017.09.044
Abstract: Abstract For the important applications which need carry out many times of neutron diffusion calculations such as the fuel depletion analysis and the neutronics-thermohydraulics coupling analysis, fast and accurate solutions of the neutron diffusion equation… read more here.
Keywords: finite element; diffusion; reduced basis; neutron diffusion ... See more keywords
A solution to the singularity problem in the meshless method for neutron diffusion equation
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2018.10.054
Abstract: Abstract In recent years, the moving least square (MLS) approximation has been widely used for numerical analysis of scattered data. Many numerical methods for solving partial differential equations are developed based on the MLS approximation.… read more here.
Keywords: shape function; meshless; method; neutron diffusion ... See more keywords
Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons
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DOI: 10.1016/j.apnum.2020.07.007
Abstract: Abstract The main purpose of this work is to construct and analyze an efficient numerical scheme for solving the fractional neutron diffusion equation with delayed neutrons, which describes neutron transport in a nuclear reactor. The… read more here.
Keywords: neutron; fractional neutron; analysis; method ... See more keywords
A new moving-mesh Finite Volume Method for the efficient solution of two-dimensional neutron diffusion equation using gradient variations of reactor power
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Engineering and Technology"
DOI: 10.1016/j.net.2019.02.011
Abstract: Abstract A new moving-mesh Finite Volume Method (FVM) for the efficient solution of the two-dimensional neutron diffusion equation is introduced. Many other moving-mesh methods developed to solve the neutron diffusion problems use a relatively large… read more here.
Keywords: method; moving mesh; power; neutron diffusion ... See more keywords