FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2956406735> ?p ?o ?g. }

• W2956406735 endingPage "737" @default.
• W2956406735 startingPage "724" @default.
• W2956406735 abstract "Richardson extrapolation is a powerful approach for reducing spatial discretization errors and increasing, in this way, the accuracy of the computed solution obtained by use of many numerical methods for solving different scientific and engineering problems. This approach has been used in a variety of computational fluid dynamics problems to reduce numerical errors, but its use has been restricted mainly to the computation of incompressible fluid flows and on grids with coincident nodes. In this work we present a completed repeated Richardson extrapolation (CRRE) procedure for a more generic type of grid not necessarily with coincident nodes, and test it on compressible fluid flows. Three tests are performed for one-dimensional and quasi-one-dimensional Euler equations: (i) Rayleigh flow, (ii) isentropic flow, and (iii) adiabatic flow through a nozzle. The last test involves a normal shock wave. To build a simple solver, these problems are solved by a first-order upwind-type finite difference method as the base scheme. The normal shock wave problem is also solved with a high-order weighted essentially nonoscillatory (WENO) scheme to compare it with the CRRE procedure. The procedure we propose can increase the achieved accuracy and significantly decrease the magnitude of the spatial error in all three tests. Its performance is best demonstrated in the Rayleigh flow test, where the spatial discretization error is reduced by seven orders of magnitude and the achieved accuracy is increased from 0.998 to 6.62 on a grid with 10,240 nodes. Similar performance is observed for isentropic flow, for which the spatial discretization error is reduced by nine orders of magnitude and the achieved accuracy is increased from 0.996 to 6.73 on a grid with 10,240 nodes. Finally, in adiabatic flow with a normal shock wave, the procedure can reduce the spatial discretization error both upstream and downstream of the shock. However, the more expensive high-order WENO scheme results in errors of lower magnitude upstream of the shock and a sharper shock transition for this shocked test case." @default.
• W2956406735 created "2019-07-23" @default.
• W2956406735 creator A5047035333 @default.
• W2956406735 creator A5047418473 @default.
• W2956406735 creator A5055337078 @default.
• W2956406735 creator A5068404899 @default.
• W2956406735 creator A5068759736 @default.
• W2956406735 creator A5071179582 @default.
• W2956406735 date "2020-01-01" @default.
• W2956406735 modified "2023-10-16" @default.
• W2956406735 title "Completed repeated Richardson extrapolation for compressible fluid flows" @default.
• W2956406735 cites W1576051164 @default.
• W2956406735 cites W1966593406 @default.
• W2956406735 cites W1975311166 @default.
• W2956406735 cites W1981818504 @default.
• W2956406735 cites W1999996416 @default.
• W2956406735 cites W2005512705 @default.
• W2956406735 cites W2073272709 @default.
• W2956406735 cites W2083367386 @default.
• W2956406735 cites W2094570348 @default.
• W2956406735 cites W2169813547 @default.
• W2956406735 cites W2228524389 @default.
• W2956406735 cites W2402172109 @default.
• W2956406735 cites W2516993960 @default.
• W2956406735 cites W2529007342 @default.
• W2956406735 cites W2744120437 @default.
• W2956406735 doi "https://doi.org/10.1016/j.apm.2019.07.024" @default.
• W2956406735 hasPublicationYear "2020" @default.
• W2956406735 type Work @default.
• W2956406735 sameAs 2956406735 @default.
• W2956406735 citedByCount "1" @default.
• W2956406735 countsByYear W29564067352023 @default.
• W2956406735 crossrefType "journal-article" @default.
• W2956406735 hasAuthorship W2956406735A5047035333 @default.
• W2956406735 hasAuthorship W2956406735A5047418473 @default.
• W2956406735 hasAuthorship W2956406735A5055337078 @default.
• W2956406735 hasAuthorship W2956406735A5068404899 @default.
• W2956406735 hasAuthorship W2956406735A5068759736 @default.
• W2956406735 hasAuthorship W2956406735A5071179582 @default.
• W2956406735 hasBestOaLocation W29564067351 @default.
• W2956406735 hasConcept C102893441 @default.
• W2956406735 hasConcept C121332964 @default.
• W2956406735 hasConcept C132459708 @default.
• W2956406735 hasConcept C134306372 @default.
• W2956406735 hasConcept C181330731 @default.
• W2956406735 hasConcept C2524010 @default.
• W2956406735 hasConcept C28826006 @default.
• W2956406735 hasConcept C33923547 @default.
• W2956406735 hasConcept C38349280 @default.
• W2956406735 hasConcept C38409319 @default.
• W2956406735 hasConcept C5192115 @default.
• W2956406735 hasConcept C57879066 @default.
• W2956406735 hasConcept C73000952 @default.
• W2956406735 hasConcept C84655787 @default.
• W2956406735 hasConceptScore W2956406735C102893441 @default.
• W2956406735 hasConceptScore W2956406735C121332964 @default.
• W2956406735 hasConceptScore W2956406735C132459708 @default.
• W2956406735 hasConceptScore W2956406735C134306372 @default.
• W2956406735 hasConceptScore W2956406735C181330731 @default.
• W2956406735 hasConceptScore W2956406735C2524010 @default.
• W2956406735 hasConceptScore W2956406735C28826006 @default.
• W2956406735 hasConceptScore W2956406735C33923547 @default.
• W2956406735 hasConceptScore W2956406735C38349280 @default.
• W2956406735 hasConceptScore W2956406735C38409319 @default.
• W2956406735 hasConceptScore W2956406735C5192115 @default.
• W2956406735 hasConceptScore W2956406735C57879066 @default.
• W2956406735 hasConceptScore W2956406735C73000952 @default.
• W2956406735 hasConceptScore W2956406735C84655787 @default.
• W2956406735 hasFunder F4320321091 @default.
• W2956406735 hasLocation W29564067351 @default.
• W2956406735 hasOpenAccess W2956406735 @default.
• W2956406735 hasPrimaryLocation W29564067351 @default.
• W2956406735 hasRelatedWork W2025452396 @default.
• W2956406735 hasRelatedWork W2032290067 @default.
• W2956406735 hasRelatedWork W2037113473 @default.
• W2956406735 hasRelatedWork W2080327213 @default.
• W2956406735 hasRelatedWork W2162413529 @default.
• W2956406735 hasRelatedWork W2325979131 @default.
• W2956406735 hasRelatedWork W2412112397 @default.
• W2956406735 hasRelatedWork W2561175158 @default.
• W2956406735 hasRelatedWork W4376624380 @default.
• W2956406735 hasRelatedWork W2172570272 @default.
• W2956406735 hasVolume "77" @default.
• W2956406735 isParatext "false" @default.
• W2956406735 isRetracted "false" @default.
• W2956406735 magId "2956406735" @default.
• W2956406735 workType "article" @default.