中文摘要：

针对梢涡流场和初始梢涡空泡数的尺度效应问题,利用大涡模拟（LES）湍流模型对三维水翼的梢涡流场流速进行模拟计算;为减少误差,对梢涡流域网格进行了局部加密处理,对未发生空化时梢涡内的轴向速度和切向速度进行计算.结果表明,LES湍流模型的流场流速计算结果与实验值吻合较好.同时,介绍了经典初始梢涡空泡数尺度效应公式的推导过程,并利用数值计算的速度环量和涡核半径修正尺度效应公式.

英文摘要：

LES model was conducted in the analysis of hydrofoil tip vortex flow field. In order to reduce the discrete error induced by the grid, mesh refinement was applied to the area of the tip vortex core in numer- ical simulation. The axis velocity and tangential velocity of the tip vortex flow field with no cavitation were calculated and the results are in good agreement with experiments. The scaling law of tip vortex cavitation inception number is introduced and has been modified with the data of vortex core radius and vortex strength.