Results 241 to 250 of about 42,606 (261)

A new spectral nodal method based on Larsen’s extended diamond approach

Annals of Nuclear Energy, 2005
In 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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Generalized mapped nodal Laguerre spectral collocation method for Volterra delay integro-differential equations with noncompact kernels

Computational and Applied Mathematics, 2020
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Zhuyan Tang, Emran Tohidi, Fuli He
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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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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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Efficient dimension-by-dimension adaptive TENO-based limiter and troubled-cell indicator for nodal-based high-order spectral difference method

Journal of Computational Physics
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Kuangxu Chen, Lin Fu
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A response matrix spectral nodal method for energy multigroup X,Y-geometry discrete ordinates problems in non-multiplying media

Progress in Nuclear Energy, 2020
Hermes Alves Filho
exaly