# 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

Henri Paillère^{[1]}; Patrick Le Quéré; Catherine Weisman; Jan Vierendeels^{[2]}; Erik Dick; Malte Braack^{[3]}; Frédéric Dabbene; Alberto Beccantini; Etienne Studer; Thibaud Kloczko; Christophe Corre^{[4]}; Vincent Heuveline; Masoud Darbandi^{[5]}; Seyed Farid Hosseinizadeh

- [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

- Volume: 39, Issue: 3, page 617-621
- ISSN: 0764-583X

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topPaillère, Henri, et al. "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 - Modélisation Mathématique et Analyse Numérique 39.3 (2005): 617-621. <http://eudml.org/doc/245493>.

@article{Paillère2005,

abstract = {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.},

affiliation = {CEA Saclay, DEN/DM2S/SFME,91191 Gif-sur-Yvette Cedex, France.; Ghent University, 9000 Gent, Belgium. ; ; Ghent University, B-9000 Gent, Belgium.; Heidelberg University, Germany; SINUMEF Lab., ENSAM, 151 bd. de l’Hôpital, 75013 Paris, France; Sharif University of Technology, Tehran, Iran},

author = {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},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {natural convection; non-Boussinesq; low Mach number},

language = {eng},

number = {3},

pages = {617-621},

publisher = {EDP-Sciences},

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},

url = {http://eudml.org/doc/245493},

volume = {39},

year = {2005},

}

TY - JOUR

AU - Paillère, Henri

AU - Quéré, Patrick Le

AU - Weisman, Catherine

AU - Vierendeels, Jan

AU - Dick, Erik

AU - Braack, Malte

AU - Dabbene, Frédéric

AU - Beccantini, Alberto

AU - Studer, Etienne

AU - Kloczko, Thibaud

AU - Corre, Christophe

AU - Heuveline, Vincent

AU - Darbandi, Masoud

AU - Hosseinizadeh, Seyed Farid

TI - 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

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2005

PB - EDP-Sciences

VL - 39

IS - 3

SP - 617

EP - 621

AB - 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.

LA - eng

KW - natural convection; non-Boussinesq; low Mach number

UR - http://eudml.org/doc/245493

ER -

## References

top- [1] 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.
- [2] R. Becker and M. Braack, Multigrid techniques for finite elements on locally refined meshes. Numer. Linear Algebra Appl. 7 (2000) 363–379. Zbl1051.65117
- [3] M. Darbandi and S.F. Hosseinizadeh, General pressure-correction strategy to include density variation in incompressible algorithms. AIAA J. Thermophysics Heat Transfer 17 (2003) 372–380.
- [4] V. Heuveline, 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. Zbl1047.76045
- [5] 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.
- [6] 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).
- [7] J. Vierendeels, K. Riemslagh and E. Dick, A Multigrid Semi-Implicit Line-Method for Viscous Incompressible and Low-Mach Number Flows on High Aspect Ratio Grids. J. Comput. Phys. 154 (1999) 310–341. Zbl0955.76067

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