✦ LIBER ✦

HIGH-ORDER SCHEMES IN BOUNDARY ELEMENT METHODS FOR TRANSIENT NON-LINEAR FREE SURFACE PROBLEMS

✍ Scribed by R. Machane; E. Canot

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 259 KB
Volume: 24
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19970530)24:10<1049::aid-fld531>3.0.co;2-4

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✦ Synopsis

In this paper the boundary element method is applied to solve transient non-linear free surface flow problems formulated from potential theory. For the temporal evolution a high-order time-stepping procedure based on a truncated forward-time Taylor series expansion is compared with the classical Runge-Kutta technique. The numerical code for both two-dimensional and axisymmetric configurations has been successfully implemented. Emphasis in the paper is placed on describing the analytical development achieved by the use of Maple software.