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A TRANSIENT FINITE ELEMENT ADAPTATION SCHEME FOR THERMAL PROBLEMS WITH STEEP GRADIENTS

R. RAMAKRISHNAN (Analytical Services and Materials, Inc., M.S. 156, NASA Langley Research Center, Hampton, Virginia 23665, USA)
ALLAN R. WIETING (NASA Langley Research Center, Hampton, Virginia, USA)
EARL A. THORNTON (University of Virginia, Charlottesville, Virginia, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 June 1992

Abstract

An adaptive mesh refinement procedure that uses nodeless variables and quadratic interpolation functions is presented for analysing transient thermal problems. A temperature based finite element scheme with Crank‐Nicolson time marching is used to obtain the thermal solution. The strategies used for mesh adaptation, computing refinement indicators, and time marching are described. Examples in one and two dimensions are presented and comparisons are made with exact solutions. The effectiveness of this procedure for transient thermal analysis is reflected in good solution accuracy, reduction in number of elements used, and computational efficiency.

Keywords

Citation

RAMAKRISHNAN, R., WIETING, A.R. and THORNTON, E.A. (1992), "A TRANSIENT FINITE ELEMENT ADAPTATION SCHEME FOR THERMAL PROBLEMS WITH STEEP GRADIENTS", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 2 No. 6, pp. 517-535. https://doi.org/10.1108/eb017509

Publisher

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MCB UP Ltd

Copyright © 1992, MCB UP Limited