双参数法解轴对称体小攻角斜出水非线性问题

本文首先引入新算子,将自由面条件改写为便于计算的形式,然后用双参数摄动法和富里埃级数展开法将三维非线性问题化为二维非线性问题求解.数值结果给出了椭球体在斜出水过程中各阶自由面形状和力系数随物体细长比及佛汝德数变化的情况.

Two-Parameter-Perturcation Solution to Nonlinear Problem of Oblique Water Exit of an Axisymmetric Body with a Small Augle of Attack

with a new time-derivative operator,the nonlinear free surfaceboundary conditions are modified to a convenient form for numerical calcula-tion.The original 3-D nonlinear problme is reduced to a number of 2-Dproblems by using the two-parameter-series expansion method and the Four-ier cosine expansion method.Numerical results are presented for the freesurface shapes and the forces exerted during the oblique water exit of a seriesof ellipsoids with various ratios of length to diameter at different Froudenumbers.