Benchmark: Two hybrid mimetic mixed schemes for the lid-driven cavity

Jérôme Droniou; Robert Eymard

doi:10.1007/978-3-319-57397-7_8

Benchmark: Two hybrid mimetic mixed schemes for the lid-driven cavity

Jérôme Droniou
, Robert Eymard

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

1 Citation (Scopus)

Abstract

We briefly present the Hybrid Mimetic Mixed scheme for the steady incompressible Navier–Stokes equations. Two centred approximations of the nonlinear convection term are proposed and compared, between themselves as well as with reference results from the literature, on the lid driven cavity test case applied to various grid types.

Original language	English
Title of host publication	Finite Volumes for Complex Applications VIII—Methods and Theoretical Aspects - FVCA8 2017
Editors	Clément Cancès, Pascal Omnes
Place of Publication	Cham Switzerland
Publisher	Springer
Pages	107-124
Number of pages	18
Volume	199
ISBN (Electronic)	9783319573977
ISBN (Print)	9783319573960
DOIs	https://doi.org/10.1007/978-3-319-57397-7_8
Publication status	Published - 2017
Event	Finite Volumes for Complex Applications 2017 - Université Lille 1, Lille, France Duration: 12 Jun 2017 → 16 Jun 2017 Conference number: 8th https://link.springer.com/book/10.1007/978-3-319-57394-6 (Proceedings)

Publication series

Name	Springer Proceedings in Mathematics & Statistics
Publisher	Springer International Publishing
Volume	199
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	Finite Volumes for Complex Applications 2017
Abbreviated title	FVCA 2017
Country/Territory	France
City	Lille
Period	12/06/17 → 16/06/17
Other	Theme = Hyperbolic, Elliptic and Parabolic Problems
Internet address	https://link.springer.com/book/10.1007/978-3-319-57394-6 (Proceedings)

Keywords

Centred approximation
Hybrid mimetic mixed scheme
Lid driven cavity

Access to Document

10.1007/978-3-319-57397-7_8

Cite this

Droniou, J., & Eymard, R. (2017). Benchmark: Two hybrid mimetic mixed schemes for the lid-driven cavity. In C. Cancès, & P. Omnes (Eds.), Finite Volumes for Complex Applications VIII—Methods and Theoretical Aspects - FVCA8 2017 (Vol. 199, pp. 107-124). (Springer Proceedings in Mathematics & Statistics; Vol. 199). Springer. https://doi.org/10.1007/978-3-319-57397-7_8

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title = "Benchmark: Two hybrid mimetic mixed schemes for the lid-driven cavity",

abstract = "We briefly present the Hybrid Mimetic Mixed scheme for the steady incompressible Navier–Stokes equations. Two centred approximations of the nonlinear convection term are proposed and compared, between themselves as well as with reference results from the literature, on the lid driven cavity test case applied to various grid types.",

keywords = "Centred approximation, Hybrid mimetic mixed scheme, Lid driven cavity",

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booktitle = "Finite Volumes for Complex Applications VIII—Methods and Theoretical Aspects - FVCA8 2017",

address = "Switzerland",

note = "Finite Volumes for Complex Applications 2017, FVCA 2017 ; Conference date: 12-06-2017 Through 16-06-2017",

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Droniou, J & Eymard, R 2017, Benchmark: Two hybrid mimetic mixed schemes for the lid-driven cavity. in C Cancès & P Omnes (eds), Finite Volumes for Complex Applications VIII—Methods and Theoretical Aspects - FVCA8 2017. vol. 199, Springer Proceedings in Mathematics & Statistics, vol. 199, Springer, Cham Switzerland, pp. 107-124, Finite Volumes for Complex Applications 2017, Lille, France, 12/06/17. https://doi.org/10.1007/978-3-319-57397-7_8

Benchmark: Two hybrid mimetic mixed schemes for the lid-driven cavity. / Droniou, Jérôme; Eymard, Robert.
Finite Volumes for Complex Applications VIII—Methods and Theoretical Aspects - FVCA8 2017. ed. / Clément Cancès; Pascal Omnes. Vol. 199 Cham Switzerland: Springer, 2017. p. 107-124 (Springer Proceedings in Mathematics & Statistics; Vol. 199).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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AB - We briefly present the Hybrid Mimetic Mixed scheme for the steady incompressible Navier–Stokes equations. Two centred approximations of the nonlinear convection term are proposed and compared, between themselves as well as with reference results from the literature, on the lid driven cavity test case applied to various grid types.

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Y2 - 12 June 2017 through 16 June 2017

ER -

Benchmark: Two hybrid mimetic mixed schemes for the lid-driven cavity

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Keywords

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