FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4210725211> ?p ?o ?g. }

• W4210725211 endingPage "111039" @default.
• W4210725211 startingPage "111039" @default.
• W4210725211 abstract "We present a unified framework for the hybridization of flux reconstruction (FR) schemes. Specifically, we discuss the hybridized flux reconstruction (HFR) and interior-embedded flux reconstruction (EFR) methods and analyze their performance and accuracy for a range of correction functions on quadrilateral elements. HFR uses discontinuous traces on the faces of the elements, and EFR considers globally continuous trace functions. We perform two-dimensional von Neumann analysis to characterize the numerical error of EFR methods in relation to HFR and FR. HFR and FR are equivalent for linear advection, but EFR is only equivalent to FR one-dimensional advection directions. It is observed that EFR methods generally introduce additional numerical error for lower-order simulations, but behave closer to FR methods for higher orders. In addition, the behavior for different correction functions follows the same trend as the conventional FR formulation. Verification with linear and nonlinear numerical examples showed the expected order of accuracy of p + 1 was obtained for all formulations, where p is the polynomial degree of the solution. With appropriate choices of correction functions, EFR methods can be more accurate than other HFR and FR methods. Furthermore, it is observed that the choice of correction function has an impact on the performance of the implicit solver by a factor of up to 2 for FR methods for an airfoil-vortex interaction problem, but had a smaller influence on the hybridized forms. For this problem, we observed speedups factors of up to 4.3 and 6.7 for HFR and EFR, respectively, when compared with FR. Hence, hybridized methods are a viable approach to reducing the computational cost of implicit FR solvers. • We present a unified framework for the hybridization of flux reconstruction schemes. • The spectral behavior of hybridized and embedded FR methods is discussed. • Results show optimal convergence for both methods with several correction functions. • Speedups of up to 6.7 times were observed compared to standard implicit FR." @default.
• W4210725211 created "2022-02-08" @default.
• W4210725211 creator A5025974978 @default.
• W4210725211 creator A5049434921 @default.
• W4210725211 date "2022-05-01" @default.
• W4210725211 modified "2023-10-03" @default.
• W4210725211 title "Performance and accuracy of hybridized flux reconstruction schemes" @default.
• W4210725211 cites W1771547885 @default.
• W4210725211 cites W1908859542 @default.
• W4210725211 cites W1971610169 @default.
• W4210725211 cites W1978682560 @default.
• W4210725211 cites W1979256100 @default.
• W4210725211 cites W1982465309 @default.
• W4210725211 cites W1998894128 @default.
• W4210725211 cites W2003404887 @default.
• W4210725211 cites W2008001739 @default.
• W4210725211 cites W2010255942 @default.
• W4210725211 cites W2018334166 @default.
• W4210725211 cites W2023198396 @default.
• W4210725211 cites W2027087330 @default.
• W4210725211 cites W2027456895 @default.
• W4210725211 cites W2028270010 @default.
• W4210725211 cites W2055812492 @default.
• W4210725211 cites W2059017100 @default.
• W4210725211 cites W2068107702 @default.
• W4210725211 cites W2071408075 @default.
• W4210725211 cites W2084073638 @default.
• W4210725211 cites W2095524611 @default.
• W4210725211 cites W2110320615 @default.
• W4210725211 cites W2125187234 @default.
• W4210725211 cites W2129927857 @default.
• W4210725211 cites W2130232057 @default.
• W4210725211 cites W2137059709 @default.
• W4210725211 cites W2147584861 @default.
• W4210725211 cites W2149258036 @default.
• W4210725211 cites W2254024620 @default.
• W4210725211 cites W2460533716 @default.
• W4210725211 cites W2478718357 @default.
• W4210725211 cites W2522785017 @default.
• W4210725211 cites W2560325115 @default.
• W4210725211 cites W2571435561 @default.
• W4210725211 cites W2586399848 @default.
• W4210725211 cites W2747666380 @default.
• W4210725211 cites W2754475404 @default.
• W4210725211 cites W2781604934 @default.
• W4210725211 cites W2799173744 @default.
• W4210725211 cites W2901824132 @default.
• W4210725211 cites W3017273090 @default.
• W4210725211 cites W3092027652 @default.
• W4210725211 cites W3096424994 @default.
• W4210725211 cites W4239837487 @default.
• W4210725211 cites W755493078 @default.
• W4210725211 doi "https://doi.org/10.1016/j.jcp.2022.111039" @default.
• W4210725211 hasPublicationYear "2022" @default.
• W4210725211 type Work @default.
• W4210725211 citedByCount "0" @default.
• W4210725211 crossrefType "journal-article" @default.
• W4210725211 hasAuthorship W4210725211A5025974978 @default.
• W4210725211 hasAuthorship W4210725211A5049434921 @default.
• W4210725211 hasConcept C11413529 @default.
• W4210725211 hasConcept C121332964 @default.
• W4210725211 hasConcept C121864883 @default.
• W4210725211 hasConcept C191897082 @default.
• W4210725211 hasConcept C192562407 @default.
• W4210725211 hasConcept C28826006 @default.
• W4210725211 hasConcept C33923547 @default.
• W4210725211 hasConcept C41008148 @default.
• W4210725211 hasConcept C68709404 @default.
• W4210725211 hasConceptScore W4210725211C11413529 @default.
• W4210725211 hasConceptScore W4210725211C121332964 @default.
• W4210725211 hasConceptScore W4210725211C121864883 @default.
• W4210725211 hasConceptScore W4210725211C191897082 @default.
• W4210725211 hasConceptScore W4210725211C192562407 @default.
• W4210725211 hasConceptScore W4210725211C28826006 @default.
• W4210725211 hasConceptScore W4210725211C33923547 @default.
• W4210725211 hasConceptScore W4210725211C41008148 @default.
• W4210725211 hasConceptScore W4210725211C68709404 @default.
• W4210725211 hasFunder F4320314000 @default.
• W4210725211 hasFunder F4320321588 @default.
• W4210725211 hasFunder F4320334593 @default.
• W4210725211 hasLocation W42107252111 @default.
• W4210725211 hasOpenAccess W4210725211 @default.
• W4210725211 hasPrimaryLocation W42107252111 @default.
• W4210725211 hasRelatedWork W1992777312 @default.
• W4210725211 hasRelatedWork W1998447716 @default.
• W4210725211 hasRelatedWork W2037280225 @default.
• W4210725211 hasRelatedWork W2038258984 @default.
• W4210725211 hasRelatedWork W2061606112 @default.
• W4210725211 hasRelatedWork W2066743447 @default.
• W4210725211 hasRelatedWork W2091296259 @default.
• W4210725211 hasRelatedWork W2225471365 @default.
• W4210725211 hasRelatedWork W3100600548 @default.
• W4210725211 hasRelatedWork W3103770281 @default.
• W4210725211 hasVolume "457" @default.
• W4210725211 isParatext "false" @default.
• W4210725211 isRetracted "false" @default.
• W4210725211 workType "article" @default.