The Critical Time Step for Finite-Element Solutions to Two-Dimensional Heat-Conduction Transients

[+] Author and Article Information
G. E. Myers

The University of Wisconsin, Madison, Wisc.

J. Heat Transfer 100(1), 120-127 (Feb 01, 1978) (8 pages) doi:10.1115/1.3450485 History: Received July 20, 1977; Online August 11, 2010


Computationally-useful methods of estimating the critical time step for linear triangular elements and for linear quadrilateral elements are given. Irregular nodal-point arrangements, position-dependent properties, and a variety of boundary conditions can be accommodated. The effects of boundary conditions and element shape on the critical time step are discussed. Numerical examples are presented to illustrate the effect of various boundary conditions and for comparison to the finite-difference method.

Copyright © 1978 by ASME
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