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Title: Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation

Abstract

Discontinuous Galerkin finite element methods are used to estimate solutions to the non-scattering 1-D spherical neutron transport equation. Various trial and test spaces are compared in the context of a few sample problems whose exact solution is known. Certain trial spaces avoid unphysical behaviors that seem to plague other methods. Comparisons with diamond differencing and simple corner-balancing are presented to highlight these improvements.

Authors:
 [1]
  1. Department of Applied Mathematics, University of Washington, P.O. Box 352420, 408 Gugenheim Hall, Seattle, WA 98195-2420 (United States) and Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P.O. Box 808 L-419, Livermore, CA 94551 (United States). E-mail: machorro@amath.washington.edu
Publication Date:
OSTI Identifier:
20991568
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 223; Journal Issue: 1; Other Information: DOI: 10.1016/j.jcp.2006.08.020; PII: S0021-9991(06)00424-4; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIAMONDS; EQUATIONS; EXACT SOLUTIONS; FINITE ELEMENT METHOD; GEOMETRY; MATHEMATICAL SPACE; NEUTRON TRANSPORT; NEUTRON TRANSPORT THEORY

Citation Formats

Machorro, Eric. Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation. United States: N. p., 2007. Web. doi:10.1016/j.jcp.2006.08.020.
Machorro, Eric. Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation. United States. doi:10.1016/j.jcp.2006.08.020.
Machorro, Eric. Tue . "Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation". United States. doi:10.1016/j.jcp.2006.08.020.
@article{osti_20991568,
title = {Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation},
author = {Machorro, Eric},
abstractNote = {Discontinuous Galerkin finite element methods are used to estimate solutions to the non-scattering 1-D spherical neutron transport equation. Various trial and test spaces are compared in the context of a few sample problems whose exact solution is known. Certain trial spaces avoid unphysical behaviors that seem to plague other methods. Comparisons with diamond differencing and simple corner-balancing are presented to highlight these improvements.},
doi = {10.1016/j.jcp.2006.08.020},
journal = {Journal of Computational Physics},
number = 1,
volume = 223,
place = {United States},
year = {Tue Apr 10 00:00:00 EDT 2007},
month = {Tue Apr 10 00:00:00 EDT 2007}
}