二维非线性辐射问题数值模拟

基于势流理论模拟了二维剖面辐射问题,应用边界元法求解二维剖面速度势,在自由面与物面交点等拐点处采用双点技术,应用四阶龙阁-库塔法处理完全非线性自由面条件,应用数值阻尼处理远方辐射条件,应用平滑技术处理自由面条件以消除锯齿不稳定性,应用三次样条逼近对自由面网格进行重新划分,引入辅助函数以精确求解物面压强,计算了二维剖面水动力以及自由面形状,计算了附加质量和阻尼系数等水动力系数,并与其他理论计算结果做比较。比较表明,该文计算结果与其他理论计算结果吻合良好。

Numerical Simulation of the Two-dimensional Nonlinear Radiation Problem

The two-dimensional nonlinear radiation problem is simulated based on the velocity potential theory.The boundary element method is applied to obtain the potential of the body and the double points technique is used to treat the corner problem of boundary element method,and four-order Runge-Kutta method is used to handle the fully nonlinear free surface condition.Numerical damping is used to handle far radiation condition.A smooth technique is applied to free surface to prevent the sawtooth instability,and t...