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.
Mots clés : natural convection, non-Boussinesq, low Mach number
@article{M2AN_2005__39_3_617_0,
author = {Paill\`ere, Henri and Qu\'er\'e, Patrick Le and Weisman, Catherine and Vierendeels, Jan and Dick, Erik and Braack, Malte and Dabbene, Fr\'ed\'eric and Beccantini, Alberto and Studer, Etienne and Kloczko, Thibaud and Corre, Christophe and Heuveline, Vincent and Darbandi, Masoud and Hosseinizadeh, Seyed Farid},
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: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {617--621},
publisher = {EDP-Sciences},
volume = {39},
number = {3},
year = {2005},
doi = {10.1051/m2an:2005025},
mrnumber = {2157154},
zbl = {1130.76049},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an:2005025/}
}
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: Modélisation mathématique et analyse numérique PY - 2005 SP - 617 EP - 621 VL - 39 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an:2005025/ DO - 10.1051/m2an:2005025 LA - en ID - M2AN_2005__39_3_617_0 ER -
%0 Journal Article %A Paillère, Henri %A Quéré, Patrick Le %A Weisman, Catherine %A Vierendeels, Jan %A Dick, Erik %A Braack, Malte %A Dabbene, Frédéric %A Beccantini, Alberto %A Studer, Etienne %A Kloczko, Thibaud %A Corre, Christophe %A Heuveline, Vincent %A Darbandi, Masoud %A Hosseinizadeh, Seyed Farid %T 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 %J ESAIM: Modélisation mathématique et analyse numérique %D 2005 %P 617-621 %V 39 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an:2005025/ %R 10.1051/m2an:2005025 %G en %F M2AN_2005__39_3_617_0
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: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 3, pp. 617-621. doi : 10.1051/m2an:2005025. http://archive.numdam.org/articles/10.1051/m2an:2005025/
[1] 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] and, Multigrid techniques for finite elements on locally refined meshes. Numer. Linear Algebra Appl. 7 (2000) 363-379. | Zbl
[3] and, General pressure-correction strategy to include density variation in incompressible algorithms. AIAA J. Thermophysics Heat Transfer 17 (2003) 372-380.
[4] , 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. | Zbl
[5] , and, A Matrix-Free Implicit Method for Flows at all Speeds, Proc. ICCFD3 Conference, Toronto, Canada, 11-15 July, 2004.
[6] and, 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] , and, 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. | Zbl
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