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Title: Improvements of the boundary projection acceleration technique applied to the discrete-ordinates transport solver in XYZ geometries

Abstract

In this paper we discuss the latest upgrades of the Boundary Projection Acceleration (BPA) applied to the XYZ transport solver of APOLLO3, namely IDT. The acceleration method is a well-known effective technique for the speed-up of the source iterations of the discrete-ordinates method. The BPA in IDT has been improved in three aspects: the taking into account of the residue on boundary conditions as a boundary source for the acceleration problem, the extension of the method to higher order angular moments in the case of anisotropic scattering and, finally, the application of the method to the multigroup iterations for the acceleration of the fission source and k-effective. The spectrum of the method has been Fourier-analyzed to explore the effectiveness. The 3D mock-up geometry of the ZPPR is presented as final study to test the performances of the acceleration on a realistic whole-core 3D calculation. (authors)

Authors:
;  [1]
  1. Commissariat a l'Energie Atomique et aux Energies Alternatives, Service d'Etudes de Reacteurs et de Mathematiques Appliquees, DEN/DANS/DM2S/SERMA/LTSD, 91190 Gif sur Yvette, cedex (France)
Publication Date:
Research Org.:
American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
OSTI Identifier:
22212907
Resource Type:
Conference
Resource Relation:
Conference: M and C 2013: 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Sun Valley, ID (United States), 5-9 May 2013; Other Information: Country of input: France; 9 refs.; Related Information: In: Proceedings of the 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering - M and C 2013| 3016 p.
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ACCELERATION; ANISOTROPY; BOUNDARY CONDITIONS; DISCRETE ORDINATE METHOD; FISSION; GEOMETRY; PERFORMANCE; SCATTERING; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Masiello, E., and Rossi, T. Improvements of the boundary projection acceleration technique applied to the discrete-ordinates transport solver in XYZ geometries. United States: N. p., 2013. Web.
Masiello, E., & Rossi, T. Improvements of the boundary projection acceleration technique applied to the discrete-ordinates transport solver in XYZ geometries. United States.
Masiello, E., and Rossi, T. 2013. "Improvements of the boundary projection acceleration technique applied to the discrete-ordinates transport solver in XYZ geometries". United States.
@article{osti_22212907,
title = {Improvements of the boundary projection acceleration technique applied to the discrete-ordinates transport solver in XYZ geometries},
author = {Masiello, E. and Rossi, T.},
abstractNote = {In this paper we discuss the latest upgrades of the Boundary Projection Acceleration (BPA) applied to the XYZ transport solver of APOLLO3, namely IDT. The acceleration method is a well-known effective technique for the speed-up of the source iterations of the discrete-ordinates method. The BPA in IDT has been improved in three aspects: the taking into account of the residue on boundary conditions as a boundary source for the acceleration problem, the extension of the method to higher order angular moments in the case of anisotropic scattering and, finally, the application of the method to the multigroup iterations for the acceleration of the fission source and k-effective. The spectrum of the method has been Fourier-analyzed to explore the effectiveness. The 3D mock-up geometry of the ZPPR is presented as final study to test the performances of the acceleration on a realistic whole-core 3D calculation. (authors)},
doi = {},
url = {https://www.osti.gov/biblio/22212907}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jul 01 00:00:00 EDT 2013},
month = {Mon Jul 01 00:00:00 EDT 2013}
}

Conference:
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