TITLE:
B-Spline Approximation of Ship Waves on the Free Surface
AUTHORS:
Fang Li, Hui Li, Huilong Ren
KEYWORDS:
B-Spline Approximation of Ship Waves on the Free Surface
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.1,
January
28,
2015
ABSTRACT: 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.