中文摘要：

基于VOF多相流模型，采用RNGκ-ε湍流模型，对不同浸深水位下的水平运动空化流动进行了数值模拟，研究了浅水域时自由液面对水平超空泡形状的影响，以及深水域时空化数对空泡形态的影响。结果表明：浅水域时，由于自由液面的影响，空泡形态呈现出上部较凸，下部较平的非对称形态，并且相比于深水域时的情况，空泡更为粗短，此外空泡上下所受压强是不对称的；深水域时，空泡为上下基本对称的椭圆形态，空泡的无量纲直径和长度都随着空化数的增大逐渐减小，与Logvinovich和Savchenko提出的半经验公式基本符合，此外空泡上下所受压强基本对称。

英文摘要：

Based on the homogeneous equilibrium multiphase theory, RNG k-e turbulence module was used to carry out numerical simulation of horizontal motion cavitation flow under different water depths. Effects of free surface on horizontal supercavity in shallow water area and influences of cavitation number on cavitation morphology in deep water area were studied. The results indicate that in shallow water area, due to influence of free surface, cavitation morphology presents up-down asymmetric form, and cavitation is thicker and shorter than the situation in deep water area. Besides, the pressure for the cavitation is also up-down asymmetric. In deep water area, the cavitation configuration is basically up-down symmetric and elliptical, the dimensionless diameter and length of the cavitation decrease as the growth of cavitation number. This basically complies with semi-rational formula proposed by Logvinovich and Savchenko. Moreover, the pressure for the cavitation is also up-down symmetric.