Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes

Abstract : This paper gives numerical results for a 3D extension of the 2D DDFV scheme. Our scheme is of the same inspiration as the one called CeVe-DDFV ([9]), with a more straightforward dual mesh construction. We sketch the construction in which, starting from a given 3D mesh (which can be non conformal and have arbitrary polygonal faces), one defines a dual mesh and a diamond mesh, reconstructs a discrete gradient, and proves the discrete duality property. Details can be found in [1].
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Communication dans un congrès
J. Fort, J. Furst, J. Halama. Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. Springer, Springer Proceedings in Mathematics, 4 (3), pp.937-948, 2011, Finite Volume for Complex Applications VI. Problems & Perspectives. 〈http://www.springer.com/us/book/9783642206702〉. 〈10.1007/978-3-642-20671-9_91〉
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Boris Andreianov, Florence Hubert, Stella Krell. Benchmark 3D: a version of the DDFV scheme with cell/vertex unknowns on general meshes. J. Fort, J. Furst, J. Halama. Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. Springer, Springer Proceedings in Mathematics, 4 (3), pp.937-948, 2011, Finite Volume for Complex Applications VI. Problems & Perspectives. 〈http://www.springer.com/us/book/9783642206702〉. 〈10.1007/978-3-642-20671-9_91〉. 〈hal-00572732〉

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