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Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 1, Reference solutions

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Le Quéré, Patrick, Weisman, Catherine, Paillère, Henri, Vierendeels, Jan, Dick, Erik, Becker, Roland, Braack, Malte and Locke, James C. W.. (2005) Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 1, Reference solutions. ESAIM: Mathematical Modelling and Numerical Analysis, Vol.39 (No.3). pp. 609-616. ISSN 0764-583X

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Abstract

There are very few reference solutions in the literature on non-Boussinesq natural convection flows. We propose here a test case problem which extends the well-known De Vahl Davis differentially heated square cavity problem to the case of large temperature differences for which the Boussinesq approximation is no longer valid. The paper is split in two parts: in this first part, we propose as yet unpublished reference solutions for cases characterized by a non-dimensional temperature difference of 0.6, (constant property and variable property cases) and (variable property case). These reference solutions were produced after a first international workshop organized by CEA and LIMSI in January 2000, in which the above authors volunteered to produce accurate numerical solutions from which the present reference solutions could be established.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Heat -- Convection -- Mathematical models, Mach number
Journal or Publication Title: ESAIM: Mathematical Modelling and Numerical Analysis
Publisher: EDP Sciences
ISSN: 0764-583X
Official Date: 2005
Volume: Vol.39
Number: No.3
Page Range: pp. 609-616
Identification Number: 10.1051/m2an:2005027
Status: Peer Reviewed
Access rights to Published version: Open Access
References:

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URI: http://wrap.warwick.ac.uk/id/eprint/3824

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