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Modelling of Natural Convection Flowswith Large Temperature Differences: A Benchmark Problem for LowMach Number Solvers. Part 2. Contributions to the June 2004conference

Published online by Cambridge University Press:  15 June 2005

Henri Paillère ,
Patrick Le Quéré ,
Catherine Weisman ,
Jan Vierendeels ,
Erik Dick ,
Malte Braack ,
Frédéric Dabbene ,
Alberto Beccantini ,
Etienne Studer  and
Thibaud Kloczko
...Show all authors
Henri Paillère
Affiliation:
CEA Saclay, DEN/DM2S/SFME,91191 Gif-sur-Yvette Cedex, France. henri.paillere@cea.fr; frederic.dabbene@cea.fr; beccantini@cea.fr; estuder@cea.fr; thibaud.kloczko@cea.fr
Patrick Le Quéré
Affiliation:
LIMSI, BP 133, 91403 Orsay Cedex, France. plq@limsi.fr; weisman@limsi.fr
Catherine Weisman
Affiliation:
LIMSI, BP 133, 91403 Orsay Cedex, France. plq@limsi.fr; weisman@limsi.fr
Jan Vierendeels
Affiliation:
Ghent University, 9000 Gent, Belgium. Jan.Vierendeels@rug.ac.be; erik.dick@UGent.be
Erik Dick
Affiliation:
Ghent University, 9000 Gent, Belgium. Jan.Vierendeels@rug.ac.be; erik.dick@UGent.be
Malte Braack
Affiliation:
Heidelberg University, Germany. malte.braack@iwr.uni-heidelberg.de; vincent.heuveline@iwr.uni-heidelberg.de
Frédéric Dabbene
Affiliation:
CEA Saclay, DEN/DM2S/SFME,91191 Gif-sur-Yvette Cedex, France. henri.paillere@cea.fr; frederic.dabbene@cea.fr; beccantini@cea.fr; estuder@cea.fr; thibaud.kloczko@cea.fr
Alberto Beccantini
Affiliation:
CEA Saclay, DEN/DM2S/SFME,91191 Gif-sur-Yvette Cedex, France. henri.paillere@cea.fr; frederic.dabbene@cea.fr; beccantini@cea.fr; estuder@cea.fr; thibaud.kloczko@cea.fr
Etienne Studer
Affiliation:
CEA Saclay, DEN/DM2S/SFME,91191 Gif-sur-Yvette Cedex, France. henri.paillere@cea.fr; frederic.dabbene@cea.fr; beccantini@cea.fr; estuder@cea.fr; thibaud.kloczko@cea.fr
Thibaud Kloczko
Affiliation:
CEA Saclay, DEN/DM2S/SFME,91191 Gif-sur-Yvette Cedex, France. henri.paillere@cea.fr; frederic.dabbene@cea.fr; beccantini@cea.fr; estuder@cea.fr; thibaud.kloczko@cea.fr
Christophe Corre
Affiliation:
SINUMEF Lab., ENSAM, 151 bd. de l'Hôpital, 75013 Paris, France. corre@paris.ensam.fr
Vincent Heuveline
Affiliation:
Heidelberg University, Germany. malte.braack@iwr.uni-heidelberg.de; vincent.heuveline@iwr.uni-heidelberg.de
Masoud Darbandi
Affiliation:
Sharif University of Technology, Tehran, Iran. darbandi@sharif.edu
Seyed Farid Hosseinizadeh
Affiliation:
Sharif University of Technology, Tehran, Iran. darbandi@sharif.edu
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Abstract

In the second part of the paper, we compare the solutions producedin the framework of the conference “Mathematical and numericalaspects of low Mach number flows” organized by INRIA and MAB inPorquerolles, June 2004, to the reference solutions described inPart 1. We make some recommendations on how to produce goodquality solutions, and list a number of pitfalls to be avoided.

Keywords

Natural convectionnon-Boussinesqlow Mach number.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 3: Special issue on Low Mach Number Flows Conference , May 2005 , pp. 617 - 621
Copyright
© EDP Sciences, SMAI, 2005

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References

A. Beccantini et al., Simulation of Hydrogen Release and Combustion in large Scale Geometries: Models and Methods, Int. Conf. Supercomputing for Nuclear Applications (SNA 2003), Paris, 22–24 September, 2003.
Becker, R. and Braack, M., Multigrid techniques for finite elements on locally refined meshes. Numer. Linear Algebra Appl. 7 (2000) 363–379. 3.0.CO;2-V>CrossRef
Darbandi, M. and Hosseinizadeh, S.F., General pressure-correction strategy to include density variation in incompressible algorithms. AIAA J. Thermophysics Heat Transfer 17 (2003) 372–380. CrossRef
Heuveline, V., On higher-order mixed FEM for low Mach number flows: application to a natural convection benchmark problem. Internat. J. Numer. Methods Fluids 41 (2003) 1339–1356. CrossRef
T. Kloczko, C. Corre and A. Beccantini, A Matrix-Free Implicit Method for Flows at all Speeds, Proc. ICCFD3 Conference, Toronto, Canada, 11–15 July, 2004.
H. Paillère and J.P. Magnaud, A Finite Element Elliptic Flow Solver for Low-Mach Number Compressible Flows, in 10th Int. Conf. Finite Elements in Fluids, Tuscon, Az, USA, 5–8 January (1998).
Vierendeels, J., Riemslagh, K. and Dick, E., Multigrid Semi-Implicit Line-Method, A for Viscous Incompressible and Low-Mach Number Flows on High Aspect Ratio Grids. J. Comput. Phys. 154 (1999) 310–341. CrossRef