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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 (a1), Patrick Le Quéré (a2), Catherine Weisman (a2), Jan Vierendeels (a3), Erik Dick (a3), Malte Braack (a4), Frédéric Dabbene (a1), Alberto Beccantini (a1), Etienne Studer (a1), Thibaud Kloczko (a1), Christophe Corre (a5), Vincent Heuveline (a4), Masoud Darbandi (a6) and Seyed Farid Hosseinizadeh (a6)...

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.

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[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] Becker, R. and Braack, M., Multigrid techniques for finite elements on locally refined meshes. Numer. Linear Algebra Appl. 7 (2000) 363379.
[3] Darbandi, M. and Hosseinizadeh, S.F., General pressure-correction strategy to include density variation in incompressible algorithms. AIAA J. Thermophysics Heat Transfer 17 (2003) 372380.
[4] 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) 13391356.
[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] 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) 310341.

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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 (a1), Patrick Le Quéré (a2), Catherine Weisman (a2), Jan Vierendeels (a3), Erik Dick (a3), Malte Braack (a4), Frédéric Dabbene (a1), Alberto Beccantini (a1), Etienne Studer (a1), Thibaud Kloczko (a1), Christophe Corre (a5), Vincent Heuveline (a4), Masoud Darbandi (a6) and Seyed Farid Hosseinizadeh (a6)...

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