Results 251 to 260 of about 67,991 (292)

Adaptive expansion order for diffusion Variational Nodal Method

Annals of Nuclear Energy, 2018
Abstract The Variational Nodal Method (VNM) has been employed as the diffusion module in our PWR core analysis code Bamboo-Core within our PWR fuel management code system NECP-Bamboo. It expands the nodal volumetric flux and surface partial currents into the sums of orthogonal basis functions without using the transverse integration technique.
Boning Liang, Hongchun Wu, Yunzhao Li
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A Hennart Nodal Method for the Diffusion Equation

Nuclear Science and Engineering, 1995
A modification of the Hennart nodal method for neutron diffusion problems is presented. The final system of equations obtained by this method is not positive definite. However, a flux elimination technique leads to a simple positive definite system, which can be solved by the traditional iterative methods.
P. Lesaint, S. Noceir, D. Verwaerde
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High-Order Analytical Nodal Method for the Multigroup Diffusion Equations

Numerical Algorithms, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akhmouch, M., Guessous, N.
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Inverse nodal problems for singular diffusion equation

Mathematical Methods in the Applied Sciences
In this study, some properties of the pencils of singular Sturm–Liouville operators are investigated. Firstly, the behaviors of eigenvalues and eigenfunctions is learned, then for each discontinuity point a solution of the inverse problem is given to determine the potential function and parameters , and with the help of a dense set of nodes.
Rauf Amirov, Sevim Durak
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Variational Formulation of a Higher Order Nodal Diffusion Method

Nuclear Science and Engineering, 1990
A higher order nodal diffusion method is formulated, based on variational principle Kantorovich's variational method, and the patch test. In this paper, the relationship between finite element and nodal methods is discussed and the differences are pointed out.
D. V. Altiparmakov, Dj. Tomašević
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High-order finite difference nodal method for neutron diffusion equation.

Journal of Nuclear Science and Technology, 1991
A nodal method has been developed which accurately and rapidly solves the three-dimensional neutron diffusion equation in both Cartesian and hexagonal geometries. To reduce the number of unknowns in comparison with the interface current method in favor of short computation time and a small computer memory requirement, this method employs the finite ...
Kazuo AZEKURA, Kunitoshi KURIHARA
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Generalized Partitioned Matrix Acceleration for Variational Nodal Diffusion Method

Nuclear Science and Engineering, 2019
The Generalized Partitioned Matrix (GPM) acceleration method for the Variational Nodal Method (VNM) with diffusion approximation is presented.
Yongping Wang, Yunzhao Li, Tengfei Zhang, E. E. Lewis, M. A. Smith, W. S. Yang, Hongchun Wu   +6 more
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A Fast Nodal Neutron Diffusion Method for Cartesian Geometry

Nuclear Science and Engineering, 1983
A numerical method based on an analytical solution to the three-dimensional two-group diffusion equation has been derived assuming that the flux is a sum of the functions of one variable. In each mesh the incoming currents are used as boundary conditions. The final equations for the average flux and the outgoing currents are of the response matrix type.
Mihály Makai, Claude Maeder
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Nodal domain integration model of one-dimensional advection—diffusion

Advances in Water Resources, 1982
Abstract The nodal domain integration method is applied to a one-dimensional advection—diffusion mathematical model without a source term. Comparison of the resulting numerical model to the well known Galerkin finite element, subdomain, and finite difference domain models indicates that a single numerical statement can be developed which includes the
T.V. Hromadka, G.L. Guymon
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Unified Formulation of Nodal Expansion Method and Analytic Nodal Method Solutions to Two-Group Diffusion Equations

Nuclear Science and Engineering, 2001
This paper demonstrates that the analytic nodal method (ANM) solution to two-group (2-G) diffusion equations can be formulated in the same way as the nodal expansion method (NEM) solution, and ther...
Hyun Chul Lee, Chang Hyo Kim
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