Matches in SemOpenAlex for { <https://semopenalex.org/work/W2895858601> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2895858601 endingPage "108325" @default.
- W2895858601 startingPage "108325" @default.
- W2895858601 abstract "We describe a new and simple strategy based on the Gauss divergence theorem for obtaining centroidal gradients on unstructured meshes. Unlike the standard Green–Gauss (SGG) reconstruction which requires face values of quantities whose gradients are sought, the proposed approach reconstructs the gradients using the normal derivative(s) at the faces. The new strategy, referred to as the Modified Green–Gauss (MGG) reconstruction results in consistent gradients which are at least first-order accurate on arbitrary polygonal meshes. We show that the MGG reconstruction is linearity preserving independent of the mesh topology and retains the consistent behaviour of gradients even on meshes with large curvature and high aspect ratios. The gradient accuracy in MGG reconstruction depends on the accuracy of discretisation of the normal derivatives at faces and this necessitates an iterative approach for gradient computation on non-orthogonal meshes. Numerical studies on different mesh topologies demonstrate that MGG reconstruction gives accurate and consistent gradients on non-orthogonal meshes, with the number of iterations proportional to the extent of non-orthogonality. The MGG reconstruction is found to be consistent even on meshes with large aspect ratio and curvature with the errors being lesser than those from linear least-squares reconstruction. A non-iterative strategy in conjunction with MGG reconstruction is proposed for gradient computations in finite volume simulations that achieves the accuracy and robustness of MGG reconstruction at a cost equivalent to that of SGG reconstruction. The efficacy of this strategy for fluid flow problems is demonstrated through numerical investigations in both incompressible and compressible regimes. The MGG reconstruction may, therefore, be viewed as a novel and promising blend of least-squares and Green–Gauss based approaches which can be implemented with little effort in open-source finite-volume solvers and legacy codes." @default.
- W2895858601 created "2018-10-26" @default.
- W2895858601 creator A5010478300 @default.
- W2895858601 creator A5020117196 @default.
- W2895858601 creator A5047572229 @default.
- W2895858601 creator A5052290713 @default.
- W2895858601 creator A5058617710 @default.
- W2895858601 date "2020-12-01" @default.
- W2895858601 modified "2023-10-16" @default.
- W2895858601 title "A new Green–Gauss reconstruction on unstructured meshes. Part I: Gradient reconstruction" @default.
- W2895858601 cites W1968729347 @default.
- W2895858601 cites W1978205588 @default.
- W2895858601 cites W1992276001 @default.
- W2895858601 cites W2021041911 @default.
- W2895858601 cites W2021397777 @default.
- W2895858601 cites W2024881233 @default.
- W2895858601 cites W2026443535 @default.
- W2895858601 cites W2042293145 @default.
- W2895858601 cites W2046851615 @default.
- W2895858601 cites W2060515542 @default.
- W2895858601 cites W2078133941 @default.
- W2895858601 cites W2082127625 @default.
- W2895858601 cites W2089346721 @default.
- W2895858601 cites W2112205950 @default.
- W2895858601 cites W2133623148 @default.
- W2895858601 cites W2158082510 @default.
- W2895858601 cites W2161433140 @default.
- W2895858601 cites W2234879330 @default.
- W2895858601 cites W2266535930 @default.
- W2895858601 cites W3121333559 @default.
- W2895858601 cites W4251916095 @default.
- W2895858601 doi "https://doi.org/10.1016/j.jcp.2018.10.023" @default.
- W2895858601 hasPublicationYear "2020" @default.
- W2895858601 type Work @default.
- W2895858601 sameAs 2895858601 @default.
- W2895858601 citedByCount "9" @default.
- W2895858601 countsByYear W28958586012019 @default.
- W2895858601 countsByYear W28958586012020 @default.
- W2895858601 countsByYear W28958586012021 @default.
- W2895858601 countsByYear W28958586012022 @default.
- W2895858601 crossrefType "journal-article" @default.
- W2895858601 hasAuthorship W2895858601A5010478300 @default.
- W2895858601 hasAuthorship W2895858601A5020117196 @default.
- W2895858601 hasAuthorship W2895858601A5047572229 @default.
- W2895858601 hasAuthorship W2895858601A5052290713 @default.
- W2895858601 hasAuthorship W2895858601A5058617710 @default.
- W2895858601 hasConcept C11413529 @default.
- W2895858601 hasConcept C121332964 @default.
- W2895858601 hasConcept C135628077 @default.
- W2895858601 hasConcept C141379421 @default.
- W2895858601 hasConcept C154945302 @default.
- W2895858601 hasConcept C170589453 @default.
- W2895858601 hasConcept C181145010 @default.
- W2895858601 hasConcept C195065555 @default.
- W2895858601 hasConcept C2524010 @default.
- W2895858601 hasConcept C28826006 @default.
- W2895858601 hasConcept C31487907 @default.
- W2895858601 hasConcept C33923547 @default.
- W2895858601 hasConcept C41008148 @default.
- W2895858601 hasConcept C45374587 @default.
- W2895858601 hasConcept C97355855 @default.
- W2895858601 hasConceptScore W2895858601C11413529 @default.
- W2895858601 hasConceptScore W2895858601C121332964 @default.
- W2895858601 hasConceptScore W2895858601C135628077 @default.
- W2895858601 hasConceptScore W2895858601C141379421 @default.
- W2895858601 hasConceptScore W2895858601C154945302 @default.
- W2895858601 hasConceptScore W2895858601C170589453 @default.
- W2895858601 hasConceptScore W2895858601C181145010 @default.
- W2895858601 hasConceptScore W2895858601C195065555 @default.
- W2895858601 hasConceptScore W2895858601C2524010 @default.
- W2895858601 hasConceptScore W2895858601C28826006 @default.
- W2895858601 hasConceptScore W2895858601C31487907 @default.
- W2895858601 hasConceptScore W2895858601C33923547 @default.
- W2895858601 hasConceptScore W2895858601C41008148 @default.
- W2895858601 hasConceptScore W2895858601C45374587 @default.
- W2895858601 hasConceptScore W2895858601C97355855 @default.
- W2895858601 hasLocation W28958586011 @default.
- W2895858601 hasOpenAccess W2895858601 @default.
- W2895858601 hasPrimaryLocation W28958586011 @default.
- W2895858601 hasRelatedWork W1981864985 @default.
- W2895858601 hasRelatedWork W1984649726 @default.
- W2895858601 hasRelatedWork W1999307380 @default.
- W2895858601 hasRelatedWork W2764195803 @default.
- W2895858601 hasRelatedWork W2779423921 @default.
- W2895858601 hasRelatedWork W2813683681 @default.
- W2895858601 hasRelatedWork W2963781865 @default.
- W2895858601 hasRelatedWork W3121126647 @default.
- W2895858601 hasRelatedWork W3192830251 @default.
- W2895858601 hasRelatedWork W4384079070 @default.
- W2895858601 hasVolume "422" @default.
- W2895858601 isParatext "false" @default.
- W2895858601 isRetracted "false" @default.
- W2895858601 magId "2895858601" @default.
- W2895858601 workType "article" @default.