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Benchmark Proposal for the FVCA8 Conference: Finite Volume Methods for the Stokes and Navier–Stokes Equations

Authors :
Franck Boyer
Pascal Omnes
Institut de Mathématiques de Toulouse UMR5219 (IMT)
Université Toulouse Capitole (UT Capitole)
Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse)
Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J)
Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3)
Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)
Département de Modélisation des Systèmes et Structures (DM2S)
CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire) (CEA-DES (ex-DEN))
Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay
Laboratoire Analyse, Géométrie et Applications (LAGA)
Université Paris 8 Vincennes-Saint-Denis (UP8)-Centre National de la Recherche Scientifique (CNRS)-Université Sorbonne Paris Nord
Source :
Springer Proceedings in Mathematics & Statistics ISBN: 9783319573960, Springer Proceedings in Mathematics & Statistics, Springer Proceedings in Mathematics & Statistics, 199, Springer, pp.59-71, 2017, FVCA 2017: Finite Volumes for Complex Applications VIII-Methods and Theoretical Aspects, 978-3-319-57396-0, ; 978-3-319-57397-7 (Online). ⟨10.1007/978-3-319-57397-7_5⟩
Publication Year :
2017
Publisher :
Springer International Publishing, 2017.

Abstract

FVCA 2017 : International Conference on Finite Volumes for Complex Applications; This benchmark proposes test-cases to assess innovative finite volume type methods developped to solve the equations of incompressible fluid mechanics. Emphasis is set on the ability to handle very general meshes, on accuracy, robustness and computational complexity. Two-dimensional as well as three-dimensional tests with known analytical solutions are proposed for the steady Stokes and both steady and unsteady Navier-Stokes equations, as well as classical lid-driven cavity tests.

Details

ISBN :
978-3-319-57396-0
978-3-319-57397-7
ISSN :
21941009
ISBNs :
9783319573960 and 9783319573977
Database :
OpenAIRE
Journal :
Springer Proceedings in Mathematics & Statistics ISBN: 9783319573960, Springer Proceedings in Mathematics & Statistics, Springer Proceedings in Mathematics & Statistics, 199, Springer, pp.59-71, 2017, FVCA 2017: Finite Volumes for Complex Applications VIII-Methods and Theoretical Aspects, 978-3-319-57396-0, ; 978-3-319-57397-7 (Online). ⟨10.1007/978-3-319-57397-7_5⟩
Accession number :
edsair.doi.dedup.....d99d10f27996e96efc2a54e59c184bc1
Full Text :
https://doi.org/10.1007/978-3-319-57397-7_5