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HIGH‐ORDER SCHEMES IN BOUNDARY ELEMENT METHODS FOR TRANSIENT NON‐LINEAR FREE SURFACE PROBLEMS
Author(s) -
Machane R.,
Canot E.
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19970530)24:10<1049::aid-fld531>3.0.co;2-4
Subject(s) - boundary element method , free surface , taylor series , transient (computer programming) , mathematics , boundary value problem , finite element method , boundary (topology) , rotational symmetry , computer science , mathematical analysis , geometry , physics , mechanics , engineering , structural engineering , operating system
Abstract 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. © 1997 by John Wiley & Sons, Ltd. Int. j. numer. methods fluids, 24: 1049–1072, 1997.