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International Heat Transfer Conference 8

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

THE APPLICATION OF FLUX-CORRECTED TRANSPORT (FCT) TO HIGH RAYLEIGH NUMBER NATURAL CONVECTION IN A POROUS MEDIUM

R. J. Gross
Fluid and Thermal Sciences Department, Sandia National Laboratories Albuquerque, New Mexico 87185

Melvin R. Baer
Fluid and Thermal Sciences Department, Sandia National Laboratories Albuquerque, New Mexico 87185

C. E. Hickox, Jr.
Fluid and Thermal Sciences Department, Sandia National Laboratories Albuquerque, New Mexico 87185

Abstract

A finite difference numerical technique, designed to solve convectively dominated flow problems, is applied to high Rayleigh number natural convective flow in a porous medium. This technique, flux-corrected transport (FCT), is known to possess the numerical properties of stability, accuracy, monotonicity, and conservation. Steady natural convection is investigated for Rayleigh numbers as large as 10,000. An efficient methodology for obtaining steady state solutions is used. A simulation is demonstrated for transient thermal convection at a Rayleigh number of 2500. Transient natural convection involving both heat and mass transfer is further illustrated for a Rayleigh number of 2500, Lewis number of 2, and buoyancy ratio of 0.1. All simulations considered a square cavity with heated vertical side walls.

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