二维近水面地效翼理论研究

Theoretical investigation on two-dimensional wing-in-ground effect in the presence of a free surface

文章利用奇点分布法对近自由表面飞行的二维地效翼进行了理论研究。与固壁不同,自由表面会在地效翼翼的作用下诱导兴波,而且波浪会传播至无穷远处。因此加大了理论分析和数值求解的难度。该工作的难点在于二维奇点在分层流体中运动的格林函数的求解与计算。通过与试验结果、其他数值模拟结果的对比,验证了文中方法的有效性。

The singularity distribution method is utilized to carry out the theoretical analysis on the two dimensional winginground effect in the vicinity of a free surface. Different from the rigid wall, the free sur face waves can be generated by the operation of the foil and they can propagate outward to infinity com plicating numerical and theoretical analysis. The main difficulty in this paper lies in the derivation and e valuation of the Green＇s function for twodimensional singularities advancing in the upper layer of a strati fiedfluid. This approach was validated against published data. Excellent agreement is found among results obtained from this study, experiments and numerical simulations.