A FRACTIONAL STEP FINITE ELEMENT METHOD FOR CONDUCTIVECONVECTIVE HEAT TRANSFER PROBLEMS

A FRACTIONAL STEP FINITE ELEMENT METHOD FOR CONDUCTIVECONVECTIVE HEAT TRANSFER PROBLEMS A new fractional step method in conjunction with the finite element method is proposed for the analysis of the thermal convection and conduction in a fluid region expressed by the momentum equations, the equation of continuity and the energy equation. This paper focuses on the features of the present finite element method which gives a simple way of treating the Neumann boundary condition for the pressure Poisson equation. The applicability and effectiveness of the proposed scheme are illustrated through the numerical examples of the twodimensional natural convection flow in enclosures with several Rayleigh numbers. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat & Fluid Flow Emerald Publishing

A FRACTIONAL STEP FINITE ELEMENT METHOD FOR CONDUCTIVECONVECTIVE HEAT TRANSFER PROBLEMS

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0961-5539
DOI
10.1108/eb017475
Publisher site
See Article on Publisher Site

Abstract

A new fractional step method in conjunction with the finite element method is proposed for the analysis of the thermal convection and conduction in a fluid region expressed by the momentum equations, the equation of continuity and the energy equation. This paper focuses on the features of the present finite element method which gives a simple way of treating the Neumann boundary condition for the pressure Poisson equation. The applicability and effectiveness of the proposed scheme are illustrated through the numerical examples of the twodimensional natural convection flow in enclosures with several Rayleigh numbers.

Journal

International Journal of Numerical Methods for Heat & Fluid FlowEmerald Publishing

Published: Jan 1, 1991

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