NATURAL CONVECTION IN A SQUARE ENCLOSURE BY A FINITE-ELEMENT, PENALTY FUNCTION METHOD USING PRIMITIVE FLUID VARIABLES
- 1 July 1978
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer
- Vol. 1 (3), 315-330
- https://doi.org/10.1080/10407787808913379
Abstract
Numerical solutions for the problem of laminar natural convection in a square enclosure using the penalty function, finite-element method are presented. Solutions are obtained for values of the Rayleigh number up to 107 using primitive fluid variables, and the efficacy of the method is demonstrated through a qualitative and quantitative evaluation of the results. The simplicity and general applicability of the method are shown especially in the context of extensions to three-dimensional geometries and irregular computational grids.Keywords
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