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

Jérôme Droniou, Robert Eymard

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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 languageEnglish
Title of host publicationFinite Volumes for Complex Applications VIII—Methods and Theoretical Aspects - FVCA8 2017
EditorsClément Cancès, Pascal Omnes
Place of PublicationCham Switzerland
PublisherSpringer
Pages107-124
Number of pages18
Volume199
ISBN (Electronic)9783319573977
ISBN (Print)9783319573960
DOIs
Publication statusPublished - 2017
EventFinite Volumes for Complex Applications 2017 - Université Lille 1, Lille, France
Duration: 12 Jun 201716 Jun 2017
Conference number: 8th
https://indico.math.cnrs.fr/event/1299/overview

Publication series

NameSpringer Proceedings in Mathematics & Statistics
PublisherSpringer International Publishing
Volume199
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceFinite Volumes for Complex Applications 2017
Abbreviated titleFVCA 8
CountryFrance
CityLille
Period12/06/1716/06/17
OtherTheme = Hyperbolic, Elliptic and Parabolic Problems
Internet address

Keywords

  • Centred approximation
  • Hybrid mimetic mixed scheme
  • Lid driven cavity

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