Remarks on discretizations of convection terms in hybrid mimetic mixed methods

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Abstract

We present different ways, coming from Finite Volume or Mixed Finite Element frameworks, to discretize convection terms in Hybrid Finite Volume, Mimetic Finite Difference and Mixed Finite Volume methods for elliptic equations. We compare them through several numerical tests, deducing some generic principles, depending on the situation, on the choice of an apropriate method and its parameters. We also present an adaptation to the Navier-Stokes equations, with a numerical tests in the case of the lid-driven cavity.
Original languageEnglish
Pages (from-to)545 - 563
Number of pages19
JournalNetworks and Heterogeneous Media
Volume5
Issue number3
DOIs
Publication statusPublished - 2010
Externally publishedYes

Cite this

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abstract = "We present different ways, coming from Finite Volume or Mixed Finite Element frameworks, to discretize convection terms in Hybrid Finite Volume, Mimetic Finite Difference and Mixed Finite Volume methods for elliptic equations. We compare them through several numerical tests, deducing some generic principles, depending on the situation, on the choice of an apropriate method and its parameters. We also present an adaptation to the Navier-Stokes equations, with a numerical tests in the case of the lid-driven cavity.",
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Remarks on discretizations of convection terms in hybrid mimetic mixed methods. / Droniou, Jerome.

In: Networks and Heterogeneous Media, Vol. 5, No. 3, 2010, p. 545 - 563.

Research output: Contribution to journalArticleResearchpeer-review

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