SOME RECENT DEVELOPMENTS AND TRENDS IN FINITE ELEMENT COMPUTATIONAL NATURAL CONVECTION

Dominique H. Pelletier; J.N. Reddy; Joseph A. Schetz

doi:10.1615/AnnualRevHeatTransfer.v2.40

Annual Review of Heat Transfer

Vish Prasad (open in a new tab) Department of Mechanical Engineering, University of North Texas, Denton, Texas 76207, USA

Yogesh Jaluria (open in a new tab) Department of Mechanical and Aerospace Engineering, Rutgers-New Brunswick, The State University of New Jersey, Piscataway, NJ 08854, USA

Zhuomin M. Zhang (open in a new tab) George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA

ISSN Print: 1049-0787

ISSN Online: 2375-0294

Indexed in

SOME RECENT DEVELOPMENTS AND TRENDS IN FINITE ELEMENT COMPUTATIONAL NATURAL CONVECTION

pages 39-85

DOI: 10.1615/AnnualRevHeatTransfer.v2.40

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

J.N. Reddy
Department of Mechanical Engineering, Texas A&M University, College Station, Texas, TX 77843, USA

Joseph A. Schetz
Departments of Aerospace & Ocean and Mechanical Engineering, Virginia Tech, Blacksburg, VA 24061, USA

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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