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Natural cubic element formulation and infinite domain modelling for potential flow problems

Published online by Cambridge University Press:  17 February 2009

G. A. Mohr  and
A. S. Power
G. A. Mohr
Affiliation:
International Arts and Sciences College, 68 Tulip Grove, Cheltenhain VIC 3192, Australia.
A. S. Power
Affiliation:
International Arts and Sciences College, 68 Tulip Grove, Cheltenhain VIC 3192, Australia.
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Abstract

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A simple formulation of a 9 df cubic Hermitian finite element for potential flow problems is given, using the interpolation of the BCIZ element and after Argyris, defining natural velocities parallel to the element sides. Consistent loads for body forces are also derived and it is shown that these are necessary to obtain accurate results when body forces are significant. Example problems include those of infinite domains for which simple conditions at infinity are used.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 1 , July 2003 , pp. 133 - 143
Copyright
Copyright © Australian Mathematical Society 2003

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