Discontinuous Galerkin finite element method applied to the 1D spherical neutron transport equation
Abstract
Discontinuous Galerkin finite element methods are used to estimate solutions to the nonscattering 1D 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 cornerbalancing are presented to highlight these improvements.
 Authors:
 Department of Applied Mathematics, University of Washington, P.O. Box 352420, 408 Gugenheim Hall, Seattle, WA 981952420 (United States) and Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P.O. Box 808 L419, Livermore, CA 94551 (United States). Email: 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: S00219991(06)004244; 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 1D 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 1D 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 1D 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 1D spherical neutron transport equation},
author = {Machorro, Eric},
abstractNote = {Discontinuous Galerkin finite element methods are used to estimate solutions to the nonscattering 1D 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 cornerbalancing 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}
}
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