Results 231 to 240 of about 42,713 (266)

Mass lumping techniques in the spectral element method: On the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods

Computer Methods in Applied Mechanics and Engineering, 2019
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Duczek, Sascha, Gravenkamp, Hauke
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An Assessment of the Efficiency of Nodal Discontinuous Galerkin Spectral Element Methods

2013
Although high order discontinuous Galerkin spectral element methods (DGSEMs) formally require more work than high order finite difference methods, they are not necessarily more expensive in practice. The matrix-vector multiplication used to compute the spatial derivatives compares favorably to the work needed to solve the tri-diagonal systems required ...
David A. Kopriva, Edwin Jimenez
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Spectral nodal method for numerically solving two-energy group X,Y geometry neutron diffusion eigenvalue problems

International Journal of Nuclear Energy Science and Technology, 2010
We describe in this paper the recent advances in spectral nodal methods applied to diffusion problems in Cartesian geometry for neutron multiplying systems. In particular, we present a constant spectral nodal method for two-energy group X,Y geometry applied to neutron diffusion eigenvalue problems.
Dany S. Dominguez, Carlos R.G. Hernandez, Ricardo C. Barros   +2 more
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On the Generalization of the Response Matrix Spectral Nodal Method for Neutral Particle S_N Source–Detector Problems in Slab Geometry

Journal of Computational and Theoretical Transport, 2021
A generalization of the Response Matrix spectral nodal method is applied to fixed–source discrete ordinates (SN) radiative transfer and neutron transport problems in slab geometry.
Jesús P. Curbelo, Odair P. da Silva, Ricardo C. Barros   +2 more
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Spectral Green’s function nodal method for multigroup SN problems with anisotropic scattering in slab-geometry non-multiplying media

Annals of Nuclear Energy, 2014
Abstract A generalization of the spectral Green’s function (SGF) method is developed for multigroup, fixed-source, slab-geometry discrete ordinates (S N ) problems with anisotropic scattering. The offered SGF method with the one-node block inversion (NBI) iterative scheme converges numerical solutions that are completely free from spatial truncation ...
Welton A. Menezes, Hermes Alves Filho, Ricardo C. Barros   +2 more
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Composite spatial grid spectral nodal method for one-speed discrete ordinates deep penetration problems in X,Y geometry

Progress in Nuclear Energy, 2010
Computer modeling of radiation deep penetration problems is historically based on the discrete ordinates (SN) formulation. For efficiency reasons, besides accuracy, coarse-mesh spatial discretization is desirable. The spectral Green’s function (SGF) methods form a class of accurate coarse-mesh numerical methods as they use polynomial approximations ...
Dany S. Dominguez, Francisco B.S. Oliveira, Hermes Alves Filho, Ricardo C. Barros   +3 more
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An Adjoint Technique Applied to Slab-Geometry Source-Detector Problems Using the Generalized Spectral Green’s Function Nodal Method

Journal of Computational and Theoretical Transport, 2018
Presented here is the application of an adjoint technique for solving source-detector discrete ordinates (SN) transport problems by using a spectral nodal method.
Jesús P. Curbelo, Odair P. da Silva, Ricardo C. Barros   +2 more
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The application of spectral nodal methods to discrete ordinates and diffusion problems in Cartesian geometry for neutron multiplying systems

Progress in Nuclear Energy, 2003
We describe in this paper the recent advances in spectral nodal methods applied to discrete ordinates (SN) and diffusion problems in Cartesian geometry for neutron multiplying systems. We divide this paper into three major parts. Part I and II deal with SN and diffusion eingenvalue problems.
Ricardo C. Barros, Hermes Alves Filho, Esbel T. Valero Orellana, Fernando Carvalho da Silva, Nozimar do Couto, Dany S. Dominguez, Carlos R.G. Hernández   +6 more
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Analytical reconstruction scheme for the coarse-mesh solution generated by the spectral nodal method for neutral particle discrete ordinates transport model in slab geometry

Annals of Nuclear Energy, 2010
Abstract Coarse-mesh numerical methods are very efficient in the sense that they generate accurate results in short computational time, as the number of floating point operations generally decrease, as a result of the reduced number of mesh points.
Ricardo C. Barros, Hermes Alves Filho, Gustavo M. Platt, Francisco Bruno S. Oliveira, Damiano S. Militão   +4 more
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Shifting Strategy in the Spectral Analysis for the Spectral Green’s Function Nodal Method for Slab-Geometry Adjoint Transport Problems in the Discrete Ordinates Formulation

2017
We present the positive features in the shifting strategy that we use in the homogeneous component of the general solution of the monoenergetic, slab-geometry, adjoint discrete ordinates (S N ) equations inside each discretization node for neutral particle source-detector transport problems.
J. P. Curbelo, O. P. da Silva, C. R. García, R. C. Barros   +3 more
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