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Spatial modes for the neutron diffusion equation and their computation [PDF]
Annals of Nuclear Energy, 2017 [EN] Different spatial modes can be defined for the neutron diffusion equation such as the k; a and c-modes. These modes have been successfully used for the analysis of nuclear reactor characteristics. In this work, these modes are studied using a high order finite element method to discretize the equations and also different methods to solve the ...
A. Carreño +3 more
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Unstructured Grids and the Multigroup Neutron Diffusion Equation [PDF]
Science and Technology of Nuclear Installations, 2013 The neutron diffusion equation is often used to perform core-level neutronic calculations. It consists of a set of second-order partial differential equations over the spatial coordinates that are, both in the academia and in the industry, usually solved
German Theler
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Wavelet-Based Algorithms for Solving Neutron Diffusion Equations [PDF]
Journal of Nuclear Science and Technology, 2001 This work develops efficient algorithms for numerically solving the neutron diffusion equation by a wavelet Galerkin method (WGM). One of the main problems encountered in solving neutron diffusion equation using WGM is the treatment of the boundary and interface conditions.
Hesham Nasif +4 more
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Improved Solution of the Neutron Diffusion Equation Using Wavelet Theory. [PDF]
Journal of Nuclear Science and Technology, 1999 (1999). Improved Solution of the Neutron Diffusion Equation Using Wavelet Theory. Journal of Nuclear Science and Technology: Vol. 36, No. 9, pp. 839-842.
Hesham Nasif +2 more
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New finite element solution technique for neutron diffusion equations. [PDF]
Journal of Nuclear Science and Technology, 1980 A new, finite element solution technique for neutron diffusion equations has been developed. In this method, calculational accuracy is improved by adding imaginary nodal points, subdividing each triangular element into three quadrilateral subelements, and approximating the spatial variation of neutron flux within each element by three linear planes. In
Kazuo Azekura
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Results in Physics, 2019 The Homotopy Perturbation Method (HPM) proves continuous efficiency for a long time in solving linear and nonlinear mathematical differential equations and their applications in physical and engineering phenomena.
Mohammed Shqair
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Approximation of the Neutron Diffusion Equation on Hexagonal Geometries [PDF]
, 2012 La ecuación de la difusión neutrónica describe la población de neutrones de un reactor nuclear. Este trabajo trata con este modelo para reactores nucleares con geometría hexagonal. En primer lugar se estudia la ecuación de la difusión neutrónica. Este es un problema diferencial de valores propios, llamado problema de los modos Lambda.
Sebastián González Pintor
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Application of the smoothed particle hydrodynamics method to the neutron diffusion equation
Nuclear Engineering and TechnologyA novel meshless method, known as Smoothed Particle Hydrodynamics (SPH), is applied to solve the neutron diffusion equation for the first time. The discrete forms for each term of the neutron diffusion equation and the boundary conditions are presented ...
Yiyang Luo +3 more
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Discrete Time Deep Learning Solution Method for Transient Neutron Diffusion Equation
Yuanzineng kexue jishuSolving the neutron diffusion equation is the key to reactor design and analysis. In engineering applications, the neutron diffusion equation is often characterized by multi-dimensionality and multi-energy groups.
YAO Hemin1, ZHANG Heng1, LIU Dong2, HE Yunling1, HANG Qin1, XIANG Di2
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Multilevel methods to solve the neutron diffusion equation
Applied Mathematical Modelling, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gumersindo Verdú, Damian Ginestar
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