Multigroup diffusion preconditioners for multiplying fixed-source transport problems

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dc.contributor.author Roberts, Jeremy A.
dc.contributor.author Forget, Benoit
dc.date.accessioned 2014-09-26T20:52:32Z
dc.date.available 2014-09-26T20:52:32Z
dc.date.issued 2014-10-01
dc.identifier.uri http://hdl.handle.net/2097/18343
dc.description.abstract Several preconditioners based on multigroup di usion are developed for application to multiplying fi xed-source transport problems using the discrete ordinates method. By starting from standard, one-group, diff usion synthetic acceleration (DSA), a multigroup diff usion preconditioner is constructed that shares the same fi ne mesh as the transport problem. As a cheaper but effective alternative, a two-grid, coarse-mesh, multigroup diff usion preconditioner is examined, for which a variety of homogenization schemes are studied to generate the coarse mesh operator. Finally, a transport-corrected diff usion preconditioner based on application of the Newton-Shulz algorithm is developed. The results of several numerical studies indicate the coarse-mesh, diff usion preconditioners work very well. In particular, a coarse-mesh, transport-corrected, diff usion preconditioner reduced the computational time of multigroup GMRES by up to a factor of 17 and outperformed best-case Gauss-Seidel results by over an order of magnitude for all problems studied. en_US
dc.language.iso en_US en_US
dc.relation.uri https://doi.org/10.1016/j.jcp.2014.06.034 en_US
dc.rights This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
dc.rights.uri https://rightsstatements.org/page/InC/1.0/
dc.subject Preconditioning en_US
dc.subject Neutron transport en_US
dc.subject Krylov en_US
dc.subject Discrete ordinates en_US
dc.title Multigroup diffusion preconditioners for multiplying fixed-source transport problems en_US
dc.type Article (author version) en_US
dc.date.published 2014 en_US
dc.citation.doi 10.1016/j.jcp.2014.06.034 en_US
dc.citation.epage 472 en_US
dc.citation.jtitle Journal of Computational Physics en_US
dc.citation.spage 455 en_US
dc.citation.volume 274 en_US
dc.contributor.authoreid jaroberts en_US


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This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). Except where otherwise noted, the use of this item is bound by the following: This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

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