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A split-step finite element analysis method with various adaptive grid techniques

✍ Scribed by Caldwell, J. ;Shum, P. ;So, K. L.

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 267 KB
Volume: 15
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199911)15:11<781::aid-cnm292>3.0.co;2-9

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✦ Synopsis

A split-step ®nite element analysis method (SSFEAM) using various adaptive grid controls is proposed. The aim of this method is to split the non-linear partial dierential equation required to be solved into two simpler equations that can be solved either analytically or numerically in the time domain. We introduce various adaptive grid controls, average grid method (AGM), average slope method (ASM) and bowl distribution method (BDM), to enhance the numerical eciency of the SSFEAM. The applications of various grid controls on solving the non-linear Burgers' equation with dierent Reynolds number are performed. In general, the ASM is found to give the best performance in terms of numerical eciency.

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