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

Article

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. https://doi.org/10.1002/fld.386
Article Title

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

ERA Journal ID188
Article CategoryArticle
AuthorsSuslov, Sergey A. (Author) and Paolucci, Samuel (Author)
Journal TitleInternational Journal for Numerical Methods in Fluids
Journal Citation40 (8), pp. 999-1007
Number of Pages9
Year2002
Place of PublicationUnited Kingdom
ISSN0271-2091
1097-0363
Digital Object Identifier (DOI)https://doi.org/10.1002/fld.386
Web Address (URL)http://www3.interscience.wiley.com/cgi-bin/fulltext/99019478/PDFSTART
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.

Keywordsconvection; spectral methods; Petrov-Galerkin method; differentially-heated cavity
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
490302. Numerical analysis
340104. Flow analysis
Public Notes

Deposited in accordance with the copyright policy of the publisher.

Byline AffiliationsComputational Engineering and Science Research Centre
University of Notre Dame, United States
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