Matches in SemOpenAlex for { <https://semopenalex.org/work/W3213374464> ?p ?o ?g. }
- W3213374464 endingPage "110819" @default.
- W3213374464 startingPage "110819" @default.
- W3213374464 abstract "Method of averaged element splittings is proposed for the discretization of the diffusion terms of the Navier – Stokes equations on mixed-element unstructured meshes. It is applicable when mesh functions are defined in nodes. This method is a linear method, which has much in common with the classical P1-Galerkin method. In the case of simplicial meshes, these methods coincide, but the new method yields a 7-point approximation of the 3D Laplace operator on a Cartesian mesh. For a model elliptic problem we provide both theoretical and numerical accuracy estimates. The numerical evidence shows that accuracy of the new method is the same as of the P1-Galerkin method in 2D and possibly slightly worse in 3D. However, we only prove the order 3/2 in 2D and the first order in 3D, both in L2. The new method has an important advantage in the case of implicit time integration based on the Newton method, which implies solving linear algebraic systems with flux Jacobian. It allows to truncate flux Jacobian to a 7-point stencil for a much wider range of Reynolds and Courant numbers without loss of iterations convergence, compared to the P1-Galerkin method." @default.
- W3213374464 created "2021-11-22" @default.
- W3213374464 creator A5008013282 @default.
- W3213374464 creator A5074600311 @default.
- W3213374464 date "2022-02-01" @default.
- W3213374464 modified "2023-09-24" @default.
- W3213374464 title "Method of averaged element splittings for diffusion terms discretization in vertex-centered framework" @default.
- W3213374464 cites W1896877805 @default.
- W3213374464 cites W1967716557 @default.
- W3213374464 cites W1987333781 @default.
- W3213374464 cites W1998998905 @default.
- W3213374464 cites W2000350055 @default.
- W3213374464 cites W2008936159 @default.
- W3213374464 cites W2019090556 @default.
- W3213374464 cites W2022304120 @default.
- W3213374464 cites W2032418337 @default.
- W3213374464 cites W2033496446 @default.
- W3213374464 cites W2033868307 @default.
- W3213374464 cites W2039115741 @default.
- W3213374464 cites W2046573877 @default.
- W3213374464 cites W2051058158 @default.
- W3213374464 cites W2056848827 @default.
- W3213374464 cites W2078475517 @default.
- W3213374464 cites W2080153869 @default.
- W3213374464 cites W2087935498 @default.
- W3213374464 cites W2102805770 @default.
- W3213374464 cites W2111494441 @default.
- W3213374464 cites W2153020506 @default.
- W3213374464 cites W2155216327 @default.
- W3213374464 cites W2170151252 @default.
- W3213374464 cites W2171737318 @default.
- W3213374464 cites W2262511075 @default.
- W3213374464 cites W2314180476 @default.
- W3213374464 cites W2461439712 @default.
- W3213374464 cites W2509927778 @default.
- W3213374464 cites W2515390298 @default.
- W3213374464 cites W2607940704 @default.
- W3213374464 cites W2616376287 @default.
- W3213374464 cites W2768352795 @default.
- W3213374464 cites W2804831401 @default.
- W3213374464 cites W2971190753 @default.
- W3213374464 cites W2975161942 @default.
- W3213374464 cites W3043463101 @default.
- W3213374464 cites W3094578327 @default.
- W3213374464 cites W4240275383 @default.
- W3213374464 cites W4252060206 @default.
- W3213374464 doi "https://doi.org/10.1016/j.jcp.2021.110819" @default.
- W3213374464 hasPublicationYear "2022" @default.
- W3213374464 type Work @default.
- W3213374464 sameAs 3213374464 @default.
- W3213374464 citedByCount "6" @default.
- W3213374464 countsByYear W32133744642021 @default.
- W3213374464 countsByYear W32133744642022 @default.
- W3213374464 countsByYear W32133744642023 @default.
- W3213374464 crossrefType "journal-article" @default.
- W3213374464 hasAuthorship W3213374464A5008013282 @default.
- W3213374464 hasAuthorship W3213374464A5074600311 @default.
- W3213374464 hasConcept C121332964 @default.
- W3213374464 hasConcept C127162648 @default.
- W3213374464 hasConcept C134306372 @default.
- W3213374464 hasConcept C135628077 @default.
- W3213374464 hasConcept C186899397 @default.
- W3213374464 hasConcept C200331156 @default.
- W3213374464 hasConcept C2524010 @default.
- W3213374464 hasConcept C28826006 @default.
- W3213374464 hasConcept C31258907 @default.
- W3213374464 hasConcept C31487907 @default.
- W3213374464 hasConcept C33923547 @default.
- W3213374464 hasConcept C41008148 @default.
- W3213374464 hasConcept C459310 @default.
- W3213374464 hasConcept C48753275 @default.
- W3213374464 hasConcept C57869625 @default.
- W3213374464 hasConcept C73000952 @default.
- W3213374464 hasConcept C76752949 @default.
- W3213374464 hasConcept C92244383 @default.
- W3213374464 hasConcept C97355855 @default.
- W3213374464 hasConceptScore W3213374464C121332964 @default.
- W3213374464 hasConceptScore W3213374464C127162648 @default.
- W3213374464 hasConceptScore W3213374464C134306372 @default.
- W3213374464 hasConceptScore W3213374464C135628077 @default.
- W3213374464 hasConceptScore W3213374464C186899397 @default.
- W3213374464 hasConceptScore W3213374464C200331156 @default.
- W3213374464 hasConceptScore W3213374464C2524010 @default.
- W3213374464 hasConceptScore W3213374464C28826006 @default.
- W3213374464 hasConceptScore W3213374464C31258907 @default.
- W3213374464 hasConceptScore W3213374464C31487907 @default.
- W3213374464 hasConceptScore W3213374464C33923547 @default.
- W3213374464 hasConceptScore W3213374464C41008148 @default.
- W3213374464 hasConceptScore W3213374464C459310 @default.
- W3213374464 hasConceptScore W3213374464C48753275 @default.
- W3213374464 hasConceptScore W3213374464C57869625 @default.
- W3213374464 hasConceptScore W3213374464C73000952 @default.
- W3213374464 hasConceptScore W3213374464C76752949 @default.
- W3213374464 hasConceptScore W3213374464C92244383 @default.
- W3213374464 hasConceptScore W3213374464C97355855 @default.
- W3213374464 hasFunder F4320321912 @default.
- W3213374464 hasLocation W32133744641 @default.
- W3213374464 hasOpenAccess W3213374464 @default.