Modelling of Natural Convection Flows with Large Temperature Differences: A Benchmark Problem for Low Mach Number Solvers. Part 1. Reference Solutions

DOI10.1051/m2an:2005027zbMath1130.76047OpenAlexW2112549215MaRDI QIDQ5315524

Catherine Weisman, James C. W. Locke, H. Paillère, Patrick Le Quéré, Erik Dick, Roland Becker, Jan Vierendeels, Malte Braack

Publication date: 8 September 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2005__39_3_609_0

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Spectral methods applied to problems in fluid mechanics (76M22) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Cites Work

• Accurate solutions to the square thermally driven cavity at high Rayleigh number
• A Chebyshev collocation algorithm for 2D non-Boussinesq convection
• The validity of the Boussinesq approximation for liquids and gases
• A multigrid semi-implicit line-method for viscous incompressible and low-Mach-number flows on high aspect ratio grids
• Numerical solution of the system of two-dimensional unsteady Navier- Stokes equations for a compressible gas in a closed region
• A steepest gradient method for optimum structural design
• Natural convection in a square cavity: A comparison exercise
• Natural convection in an enclosed vertical air layer with large horizontal temperature differences
• Unsteady natural convection in a rectangular cavity
• Numerical simulation of laminar flames at low Mach number by adaptive finite elements

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