FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4365457875> ?p ?o ?g. }

• W4365457875 endingPage "112137" @default.
• W4365457875 startingPage "112137" @default.
• W4365457875 abstract "In this article, we develop and validate an a priori Reduced-Order Model (ROM) of neutron transport separated in energy by Proper Generalized Decomposition (PGD) as applied to the k-eigenvalue problem. To do so, we devise a novel PGD algorithm for eigenvalue problems, in which the update step is solved as an eigenproblem. Further, we demonstrate this problem can be efficiently solved by a recursive LU factorization which exploits the matrix structure imposed by Progressive PGD. Numerical experiments validate Galerkin and Petrov-Galerkin (Minimax) ROMs, as compared to the full-order model, in approximating the fine- and coarse-group neutron flux, the fission source, and multiplication factor (k-eigenvalue). These benchmarks consider representative light water reactor pins of UO2 or Mixed Oxide fuel with CASMO-70, XMAS-172, and SHEM-361 energy meshes. In all cases, the ROM achieves an L2 error of the angular flux less than 0.1% given fifty modes, or enrichment iterations. At the same number of modes, the eigenvalue error is found to be less than 2×10−4 and 2×10−5 for the Galerkin and Minimax ROMs respectively. Meanwhile, the fine-group ROM surpasses the accuracy of the coarse-group full-order model—comparing both to the fine-group full-order model—in estimating the angular and scalar coarse-group fluxes and k-eigenvalue between roughly ten and twenty modes. The computational cost of the PGD ROM is comparable to that of the otherwise-identical fixed-source ROM presented in previous work. Altogether, we expect this PGD ROM may achieve considerable computational savings in modeling fine-group reactor physics. Moreover, it offers an alternative means of approximation to cross section condensation, preferable in that it requires no reference solution or loss of resolution, yet may achieve superior precision for a comparable computational effort." @default.
• W4365457875 created "2023-04-15" @default.
• W4365457875 creator A5032248858 @default.
• W4365457875 creator A5078584250 @default.
• W4365457875 date "2023-08-01" @default.
• W4365457875 modified "2023-09-27" @default.
• W4365457875 title "Reduced-order modeling of neutron transport eigenvalue problems separated in energy by Proper Generalized Decomposition" @default.
• W4365457875 cites W163960088 @default.
• W4365457875 cites W1966480524 @default.
• W4365457875 cites W1992125191 @default.
• W4365457875 cites W2000176905 @default.
• W4365457875 cites W2011655084 @default.
• W4365457875 cites W2026237859 @default.
• W4365457875 cites W2035476608 @default.
• W4365457875 cites W2046138981 @default.
• W4365457875 cites W2047330496 @default.
• W4365457875 cites W2057577185 @default.
• W4365457875 cites W2076998087 @default.
• W4365457875 cites W2080131969 @default.
• W4365457875 cites W2082180697 @default.
• W4365457875 cites W2090649942 @default.
• W4365457875 cites W2091476151 @default.
• W4365457875 cites W2102295719 @default.
• W4365457875 cites W2105744973 @default.
• W4365457875 cites W2134586925 @default.
• W4365457875 cites W2152279941 @default.
• W4365457875 cites W2166561518 @default.
• W4365457875 cites W2176890627 @default.
• W4365457875 cites W2581170681 @default.
• W4365457875 cites W2758562905 @default.
• W4365457875 cites W2763207024 @default.
• W4365457875 cites W2900772103 @default.
• W4365457875 cites W2901456657 @default.
• W4365457875 cites W2921924884 @default.
• W4365457875 cites W2922246351 @default.
• W4365457875 cites W2939870591 @default.
• W4365457875 cites W2949780325 @default.
• W4365457875 cites W2951662149 @default.
• W4365457875 cites W2953547995 @default.
• W4365457875 cites W2954083742 @default.
• W4365457875 cites W2966660803 @default.
• W4365457875 cites W2986882732 @default.
• W4365457875 cites W2995250344 @default.
• W4365457875 cites W2999368929 @default.
• W4365457875 cites W3008272216 @default.
• W4365457875 cites W3025765672 @default.
• W4365457875 cites W3046937422 @default.
• W4365457875 cites W3081845257 @default.
• W4365457875 cites W3087197902 @default.
• W4365457875 cites W3104131020 @default.
• W4365457875 cites W310687353 @default.
• W4365457875 cites W3135602304 @default.
• W4365457875 cites W3136313246 @default.
• W4365457875 cites W3158674320 @default.
• W4365457875 cites W3195387697 @default.
• W4365457875 cites W3198078977 @default.
• W4365457875 cites W3202648294 @default.
• W4365457875 cites W3203232176 @default.
• W4365457875 doi "https://doi.org/10.1016/j.jcp.2023.112137" @default.
• W4365457875 hasPublicationYear "2023" @default.
• W4365457875 type Work @default.
• W4365457875 citedByCount "0" @default.
• W4365457875 crossrefType "journal-article" @default.
• W4365457875 hasAuthorship W4365457875A5032248858 @default.
• W4365457875 hasAuthorship W4365457875A5078584250 @default.
• W4365457875 hasConcept C121332964 @default.
• W4365457875 hasConcept C135628077 @default.
• W4365457875 hasConcept C152568617 @default.
• W4365457875 hasConcept C158693339 @default.
• W4365457875 hasConcept C186899397 @default.
• W4365457875 hasConcept C28826006 @default.
• W4365457875 hasConcept C33923547 @default.
• W4365457875 hasConcept C62520636 @default.
• W4365457875 hasConcept C66963500 @default.
• W4365457875 hasConcept C97355855 @default.
• W4365457875 hasConceptScore W4365457875C121332964 @default.
• W4365457875 hasConceptScore W4365457875C135628077 @default.
• W4365457875 hasConceptScore W4365457875C152568617 @default.
• W4365457875 hasConceptScore W4365457875C158693339 @default.
• W4365457875 hasConceptScore W4365457875C186899397 @default.
• W4365457875 hasConceptScore W4365457875C28826006 @default.
• W4365457875 hasConceptScore W4365457875C33923547 @default.
• W4365457875 hasConceptScore W4365457875C62520636 @default.
• W4365457875 hasConceptScore W4365457875C66963500 @default.
• W4365457875 hasConceptScore W4365457875C97355855 @default.
• W4365457875 hasLocation W43654578751 @default.
• W4365457875 hasOpenAccess W4365457875 @default.
• W4365457875 hasPrimaryLocation W43654578751 @default.
• W4365457875 hasRelatedWork W1965791710 @default.
• W4365457875 hasRelatedWork W1982496263 @default.
• W4365457875 hasRelatedWork W2044927803 @default.
• W4365457875 hasRelatedWork W2053448926 @default.
• W4365457875 hasRelatedWork W2587773566 @default.
• W4365457875 hasRelatedWork W2912679009 @default.
• W4365457875 hasRelatedWork W2999368929 @default.
• W4365457875 hasRelatedWork W301117870 @default.
• W4365457875 hasRelatedWork W3083820578 @default.
• W4365457875 hasRelatedWork W4384264784 @default.

• next