A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8

Suslov, Sergey A. and Paolucci, Samuel (2002) A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8. International Journal for Numerical Methods in Fluids, 40 (8). pp. 999-1007. ISSN 0271-2091

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Abstract

A Petrov-Galerkin method for computations of fully enclosed flows is developed. It makes use of divergence-free basis functions which also satisfy the boundary conditions for the velocity field. This allows the elimination of the unknown pressure. The computational procedure reduces to the solution of a system of nonlinear first order ordinary
differential equations for the spectral expansion coefficients. We illustrate the effectiveness and accuracy of the method by solving the problem of the two-dimensional thermoconvective flow in a rectangular cavity of aspect ratio 8 at Rayleigh number 3.4 x 10^5.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Deposited in accordance with the copyright policy of the publisher. Pre-print version of article, as made available here, differs in title from the Published version. Pre-print title: A Petrov-Galerkin method for flows in cavities.
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited: 11 Oct 2007 00:47
Last Modified: 02 Jul 2013 22:38
Uncontrolled Keywords: convection; spectral methods; Petrov-Galerkin method; differentially-heated cavity
Fields of Research (2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
03 Chemical Sciences > 0301 Analytical Chemistry > 030103 Flow Analysis
Fields of Research (2020): 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics
49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490302 Numerical analysis
34 CHEMICAL SCIENCES > 3401 Analytical chemistry > 340104 Flow analysis
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
Identification Number or DOI: https://doi.org/10.1002/fld.386
URI: http://eprints.usq.edu.au/id/eprint/1590

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