Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes

Eric Chénier 1 Robert Eymard 2 R. Herbin 3 O. Touazi 2
1 TCM
LETEM - Laboratoire d'Etudes des Transferts d'Energie et de Matière
2 LETEM - Laboratoire d'Etudes des Transferts d'Energie et de Matière
3 LATP - Laboratoire d'Analyse, Topologie, Probabilités
Abstract : We describe here a collocated finite volume scheme which was recently developed for the numerical simulation of the incompressible Navier-Stokes equations on unstructured meshes, in 2 or 3 space dimensions. We recall its convergence in the case of the linear Stokes equations, and we prove a convergence theorem for the case of the Navier-Stokes equations under the Boussinesq hypothesis. We then present several numerical studies. A comparison between a cluster-type stabilization technique and the more classical Brezzi-Pitkäranta method is performed, the numerical convergence properties are presented on both analytical solutions and benchmark problems and the scheme is finally applied to the study of the natural convection between two eccentric cylinders
Document type :
Journal articles
Complete list of metadatas

Cited literature [29 references]  Display  Hide  Download
https://hal-upec-upem.archives-ouvertes.fr/hal-00723170
Contributor : Eric Chénier <>
Submitted on : Saturday, June 3, 2017 - 3:54:50 PM
Last modification on : Thursday, December 20, 2018 - 6:30:11 PM
Long-term archiving on : Wednesday, December 13, 2017 - 7:18:22 AM

File

chenier2008.pdf
Files produced by the author(s)

Identifiers

Collections

LATP | UPEC-UPEM | I2M | UNIV-AMU | MSME | MSME_TCM

Citation

Eric Chénier, Robert Eymard, R. Herbin, O. Touazi. Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes. International Journal for Numerical Methods in Fluids, Wiley, 2008, 56 (11), pp.2045--2068. ⟨10.1002/fld.1603⟩. ⟨hal-00723170⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

197

Files downloads

241

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD