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Title: A Review of the Upstream Corner Balance Spatial Discretization

Authors:
; ;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1357379
Report Number(s):
LLNL-CONF-721617
DOE Contract Number:
AC52-07NA27344
Resource Type:
Conference
Resource Relation:
Conference: Presented at: International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Jeju, South Korea, Apr 16 - Apr 20, 2017
Country of Publication:
United States
Language:
English
Subject:
22 GENERAL STUDIES OF NUCLEAR REACTORS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE

Citation Formats

Maginot, P G, Nowak, P F, and Adams, M L. A Review of the Upstream Corner Balance Spatial Discretization. United States: N. p., 2017. Web.
Maginot, P G, Nowak, P F, & Adams, M L. A Review of the Upstream Corner Balance Spatial Discretization. United States.
Maginot, P G, Nowak, P F, and Adams, M L. Wed . "A Review of the Upstream Corner Balance Spatial Discretization". United States. doi:. https://www.osti.gov/servlets/purl/1357379.
@article{osti_1357379,
title = {A Review of the Upstream Corner Balance Spatial Discretization},
author = {Maginot, P G and Nowak, P F and Adams, M L},
abstractNote = {},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}
}

Conference:
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  • A strictly positive spatial discretization method for the linear transport equation is presented. This method, which is algebraically nonlinear, enforces particle conservation on subcells and approximates the spatial variation of the source in each subcell as an exponential. The method is described in slab geometry and analyzed in several limits of practical significance; numerical results are presented. An x-y-geometry version of the method is then presented, assuming a spatial grid of arbitrary polygons; numerical results are presented. A rapidly convergent method for accelerating the iterations on the scattering source is also presented and tested. The analyses and results demonstrate thatmore » the method is startlingly accurate, especially on shielding-type problems, even given coarse and/or distorted spatial meshes.« less
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