ARTICLE:

• SOME RECENT DEVELOPMENTS AND TRENDS IN FINITE ELEMENT COMPUTATIONAL NATURAL CONVECTION  download article

Dominique H. Pelletier
Applied Mathematics Department, Ecole Polytechnique of Montreal, Montreal, Canada

J. N. Reddy
Advanced Computational Mechanics Laboratory, Department of Mechanical, Engineering, Texas A&M University, College Station, TX 77843-3123

Joseph A. Schetz
Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia

ABSTRACT

This chapter contains a review of the literature and results of penalty-finite-element analysis of two-dimensional natural convection (i.e., coupled conductive and convective heat transfer and fluid flow). The penalty function formulation of the equations governing steady, laminar flow of incompressible viscous fluids is presented and the associated finite-element model is described. Numerical results for a number of sample problems are presented and discussed.

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39-85 pages

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