The unsteady characteristics for the water-skipping problem of a spinning stone, including the cavity dynamics, velocity field distribution, deviation and hydrodynamics, are investigated numerically for the stone with different attack angles and spinning velocities. A three-dimensional numerical model with six degrees of freedom is established based on the large eddy simulation (LES) model and the volume of fluid (VOF) model. Both the symmetry of cavity and velocity field are destroyed by the spin. More than one saddle appears on the cavity surface for the stone with low attack angle, but mild ripple appears for the stone with high attack angle. Time histories of cavity depth and size difference, and the effects of attack angle and spinning velocity on the maximum depth and size difference are analyzed. Furthermore, time histories of deviation and hydrodynamic force in the z-axis are presented and analyzed to reveal the relationship between deviation and hydrodynamics. Compared to the shear stress ${\mathit{F}}_s$, the normal stress ${\mathit{F}}_n$ appears to plays a more dominant role in the deviation in the z-axis. The maximum shear stress increases linearly with ${\Omega }_0^2$ at almost the same rate of change for the stone with different attack angles, and a good sine fitting is presented between the maximum normal stress and ${\Omega }_0$.

对于不同攻角和旋转速度的石材，数值研究了旋转石材的跳水问题的非定常特性，包括腔动力学，速度场分布，偏差和流体动力学。基于大涡模拟（LES）模型和流体体积（VOF）模型，建立了具有六个自由度的三维数值模型。自旋破坏了腔的对称性和速度场。对于低攻角的石材，在型腔表面上出现多个鞍形，但对于高攻角的石材，出现了轻微的波纹。分析了腔深度和尺寸差的时间关系，以及攻角和旋转速度对最大深度和尺寸差的影响。此外，提出并分析了z轴，以揭示偏差与流体动力学之间的关系。与剪应力相比${\mathit{F}}_s$，正常压力 ${\mathit{F}}_{ñ}$似乎在z轴的偏差中起更主要的作用。最大剪切应力随${\Omega }_0^{\mathrm{2个}}$ 对于具有不同攻角的石材，其变化率几乎相同，并且在最大法向应力与最大正应力之间呈现出良好的正弦拟合。 ${\Omega }_0$。