Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 2. Contributions to the June 2004 conference
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 (2005) no. 3, pp. 617-621.

In the second part of the paper, we compare the solutions produced in the framework of the conference “Mathematical and numerical aspects of low Mach number flows” organized by INRIA and MAB in Porquerolles, June 2004, to the reference solutions described in Part 1. We make some recommendations on how to produce good quality solutions, and list a number of pitfalls to be avoided.

DOI: 10.1051/m2an:2005025
Classification: 65M50, 76M10, 76M12, 76M20, 76M22, 76R10
Keywords: natural convection, non-Boussinesq, low Mach number
Paillère, Henri 1; Quéré, Patrick Le ; Weisman, Catherine ; Vierendeels, Jan 2; Dick, Erik ; Braack, Malte 3; Dabbene, Frédéric ; Beccantini, Alberto ; Studer, Etienne ; Kloczko, Thibaud ; Corre, Christophe 4; Heuveline, Vincent ; Darbandi, Masoud 5; Hosseinizadeh, Seyed Farid 

1 CEA Saclay, DEN/DM2S/SFME,91191 Gif-sur-Yvette Cedex, France.
2 Ghent University, 9000 Gent, Belgium. ; ; Ghent University, B-9000 Gent, Belgium.
3 Heidelberg University, Germany
4 SINUMEF Lab., ENSAM, 151 bd. de l’Hôpital, 75013 Paris, France
5 Sharif University of Technology, Tehran, Iran
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     title = {Modelling of natural convection flows with large temperature differences : a benchmark problem for low {Mach} number solvers. {Part} 2. {Contributions} to the {June} 2004 conference},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
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Paillère, Henri; Quéré, Patrick Le; Weisman, Catherine; Vierendeels, Jan; Dick, Erik; Braack, Malte; Dabbene, Frédéric; Beccantini, Alberto; Studer, Etienne; Kloczko, Thibaud; Corre, Christophe; Heuveline, Vincent; Darbandi, Masoud; Hosseinizadeh, Seyed Farid. Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 2. Contributions to the June 2004 conference. ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 (2005) no. 3, pp. 617-621. doi : 10.1051/m2an:2005025. http://www.numdam.org/articles/10.1051/m2an:2005025/

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