| 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. |
