Results 221 to 230 of about 42,713 (266)
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A new spectral method for nodal ordering of regular space structures
Finite Elements in Analysis and Design, 2004In this article, an efficient method for calculating the eigenvalues of space structures with regular topologies is presented. In this method, the topology of a structure is formed as the Cartesian product of its generators, and the eigenvalues of the adjacency and Laplacian matrices for their graph models are easily calculated using the eigenvalues of
A Kaveh, H Rahami
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Progress in spectral nodal methods applied to discrete ordinates transport problems
Progress in Nuclear Energy, 1998Abstract We describe the recent advances in spectral nodal methods applied to discrete ordinates ( S N ) transport problems. The basic numerical schemes that we present are the spectral Green's function (SGF) nodal method and the simplified S N method.
Ricardo C. Barros +4 more
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Shock Capturing For High-Order Nodal Spectral Element Methods
2021The presence of discontinuities in nonlinear hyperbolic conservation laws is a long-standing challenge in the development of high-order numerical methods. In this talk, I will present an approach to shock capturing for discontinuous spectral element methods which uses invariant domain preservation techniques to construct a low-order scheme devoid of ...
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Nuclear Science and Engineering, 1996
The spectral history problem encountered in reconstructing local homogeneous power distributions is investigated. Because of difficulties in most nodal codes concerning spectral interactions between neighboring assemblies when rebuilding the local power distribution, nodal codes assume a constant spectrum or do not properly consider local spectrum ...
C. H. Lee +3 more
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The spectral history problem encountered in reconstructing local homogeneous power distributions is investigated. Because of difficulties in most nodal codes concerning spectral interactions between neighboring assemblies when rebuilding the local power distribution, nodal codes assume a constant spectrum or do not properly consider local spectrum ...
C. H. Lee +3 more
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A spectral nodal method for one-group X,Y,Z-cartesian geometry discrete ordinates problems
Annals of Nuclear Energy, 1996Abstract The solution of one-group discrete ordinates S N problems with linearly anisotropic scattering in x , y , z - cartesian geometry has been studied by using SGF-CN “spectral Green's function-constant nodal’ method, developed first by De Barros and Larsen (1990–1992) for one dimensional and two dimensional x , y - cartesian ...
Anli F., Güngör S.
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Transport Theory and Statistical Physics, 2004
Abstract In this paper we present the recent advances in spectral nodal methods for numerically solving neutron-diffusion eigenvalue problems in Cartesian geometry. For one‐dimensional two‐energy group diffusion criticality problems, we describe the use of nonconventional albedo boundary conditions that substitute approximately the reflective ...
Ricardo C. Barros +4 more
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Abstract In this paper we present the recent advances in spectral nodal methods for numerically solving neutron-diffusion eigenvalue problems in Cartesian geometry. For one‐dimensional two‐energy group diffusion criticality problems, we describe the use of nonconventional albedo boundary conditions that substitute approximately the reflective ...
Ricardo C. Barros +4 more
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Applied Numerical Analysis & Computational Mathematics, 2005
From the authors' abstract: We propose and analyze an orthogonal non-polynomial nodal basis on triangles for discontinuous spectral element methods (DSEMs) for solving Maxwell's equations. It is based on the standard tensor product of the Lagrange interpolation polynomials and a ``collapsing'' mapping between the standard square and the standard ...
Deng, Shaozhong, Cai, Wei
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From the authors' abstract: We propose and analyze an orthogonal non-polynomial nodal basis on triangles for discontinuous spectral element methods (DSEMs) for solving Maxwell's equations. It is based on the standard tensor product of the Lagrange interpolation polynomials and a ``collapsing'' mapping between the standard square and the standard ...
Deng, Shaozhong, Cai, Wei
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A kinetic energy preserving nodal discontinuous Galerkin spectral element method
International Journal for Numerical Methods in Fluids, 2014SUMMARYIn this work, we discuss the construction of a skew‐symmetric discontinuous Galerkin (DG) collocation spectral element approximation for the compressible Euler equations. Starting from the skew‐symmetric formulation of Morinishi, we mimic the continuous derivations on a discrete level to find a formulation for the conserved variables.
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A new spectral nodal method based on Larsen’s extended diamond approach
Annals of Nuclear Energy, 2005In this article, we describe a new spectral nodal method for solving discrete ordinates (SN) neutron transport problems with anisotropic scattering for arbitrary order N of angular quadrature. The key to our new spectral nodal method is a consistent derivation of nonstandard auxiliary equations that relate angular neutron fluxes only in the upwind ...
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Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhuyan Tang, Emran Tohidi, Fuli He
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhuyan Tang, Emran Tohidi, Fuli He
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