Natural Convection in a Square Enclosure by a Finite-Element,Penalty Function Method Using Primitive Fluid Variables |
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| Authors: | Robert S Marshall Juan C Heinrich O C Zienkiewicz |
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| Affiliation: | 1. Department of Mechanical Engineering , New Jersey Institute of Technology , Newark, New Jersey, 07102;2. Department of Civil Engineering , University College of Swansea , Swansea, SA2 8PP, Wales |
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| Abstract: | 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. |
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