考虑压缩性影响的超空泡流动数值计算

Numerical simulation of compressible supercavitating flow

为了研究水下航行体航速接近水中声速时水的可压缩性对超空泡外形的影响,采用理想可压缩流体定常流动以及Riabouchinsky空化封闭模型,基于势流理论和有限体积方法,对绕圆盘空化器的超空泡流动进行了数值计算。计算时考虑到水的压缩性,水的状态方程采用Tait幂次率。提出了一种新的超空泡外形迭代方法并分析了流体压缩性对超空泡外形和其他流动参数的影响,结果表明:随着马赫数的增加,超空泡外形从"椭球形"变成"锥形",阻力系数也随之增大。将计算结果与相关文献的计算和试验结果进行比较,证明了该计算方法的有效性。

To study the compressible effect of water on the supercavity profile when the velocity of an underwater body was close to the sonic speed in water, the ideal compressible steady supercavitating flow over the disk cavitator was numerically simulated based on the finite volume method and the po- tential theory. Supercavity was closed by Riabouchinsky model. Water compressibility was taken into consideration by using Tait state equation. A new iteration method for the supercavity shape updating was proposed and the influence factors of supercavity profile and other parameters of fluid compressi- bility were analyzed. The supercavity profile changes from ellipse to taper with Mach number increa sing, and the drag coefficient increases, Compared with other computational or experiment results, the calculated results prove that the present computational method is effective.