B-Spline Approximation of Ship Waves on the Free Surface


We consider the problem of a ship advancing in waves. In this method, the zone of free surface in the vicinity of body is discretized. On the discretized surface, the first-order and second-order derivatives of ship waves are represented by the B-Spline formulae. Different ship waves are approximated by cubic B-spline and the first and second order derivates of incident waves are calculated and compared with analytical value. It approves that this numerical method has sufficient accuracy and can be also applied to approximate the velocity potential on the free surface.

Share and Cite:

Li, F. , Li, H. and Ren, H. (2015) B-Spline Approximation of Ship Waves on the Free Surface. Journal of Applied Mathematics and Physics, 3, 81-85. doi: 10.4236/jamp.2015.31011.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Gordon, W.J. and Riesenfeld, R.F. B-Spline Curves and Surfaces [A].
[2] De Boor, C. (1972) On Calculation with B-Splines. J. Approx. Theory.
[3] Hoschek, J. and Lasser, D. (1993) Fundamentals of Computer Aided Geometric Design. A K Peters.
[4] Farin, G. (1993) Curves and Surfaces for Computer Aided Geometric Design. Academic Press.

Copyright © 2022 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.