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

摘要

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.