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A FRACTIONAL STEP FINITE ELEMENT METHOD FOR CONDUCTIVE‐CONVECTIVE HEAT TRANSFER PROBLEMS

KATSUMORI HATANAKA (Department of Civil Engineering, Chuo University, Kasuga 1–13–27, Bunkyo‐ku, Tokyo 112, Japan)
MUTSUTO KAWAHARA (Department of Civil Engineering, Chuo University, Kasuga 1–13–27, Bunkyo‐ku, Tokyo 112, Japan)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 January 1991

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 two‐dimensional natural convection flow in enclosures with several Rayleigh numbers.

Keywords

Citation

HATANAKA, K. and KAWAHARA, M. (1991), "A FRACTIONAL STEP FINITE ELEMENT METHOD FOR CONDUCTIVE‐CONVECTIVE HEAT TRANSFER PROBLEMS", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 1 No. 1, pp. 77-94. https://doi.org/10.1108/eb017475

Publisher

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MCB UP Ltd

Copyright © 1991, MCB UP Limited