空化、超空化流动的数值模拟方法研究

基于结构化网格，运用可压缩流N—S方程及k-ε湍流模型对流场进行求解，在低压区域引入一种基于混合密度函数的空化模型对轴对称体的空化、超空化流动进行了数值模拟．通过将半球圆柱的计算结果与实验数据和前人的计算结果进行对比，验证了所发展的数值方法的可靠性．最后，采用非定常的数值方法，研究了钝头体射弹的空化、超空化流动特性，并模拟了其超空泡的发展过程．

NUMERICAL SIMULATION OF THE CAVITATING, SUPERCAVITATING FLOW BASED ON NAVIER-STOKES EQUATIONS

In this paper, a numerical simulation method of turbulent cavitating and supercavitating flow around axisymmetric projectiles was presented, in which the compressible Navier-Stokes equations with standard k-e turbulence model and the developed cavity model were used. To assess the numerical method, the simulation results of hemispherical body were compared with the experimental data and other published computations. It is shown that the numerical result by the present cavity model was reliable. Another simulation result of an axisymmetric projectile demonstrated the cavitating and supercavitating characteristics in different velocity. Then, the unsteady method was used to capture the generation of supercavitating bubble and the numerical simulation results were shown in this paper.