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High-Order Schemes in Boundary Element Methods for Transient Non-linear Free Surface Problems.

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.
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https://hal.inria.fr/hal-01245941
Contributor : Édouard Canot <>
Submitted on : Thursday, December 17, 2015 - 6:50:23 PM
Last modification on : Thursday, November 19, 2020 - 3:54:11 PM

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Rabha Machane, Edouard Canot. High-Order Schemes in Boundary Element Methods for Transient Non-linear Free Surface Problems.. International Journal for Numerical Methods in Fluids, Wiley, 1997, 24, pp.1049-1072. ⟨10.1002/(SICI)1097-0363(19970530)24:10<1049::AID-FLD531>3.0.CO;2-4⟩. ⟨hal-01245941⟩

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