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

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2005)

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

Abstract

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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.

How to cite

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Paillère, 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

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  1. [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. [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. [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. [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. [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. [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. [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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