【摘要】 基于势流理论的假设,采取常规边界元法对具有自由面的定常平板和轴对称空泡流动数值方法进行了研究,运用Riabounchinsky镜像空化模型,建立了一种空泡自由面求解的优化迭代方法,以自由流线长度为参数求解模拟了定常无重工况下流经二维平板和轴对称圆盘的空化流动。数值计算结果与解析解的相对误差不超过3%,证实了轴对称体空泡外形的近似回转椭球体假说在空化器附近是不成立的。计算结果与同类文献数据的对比显示了边界元法进行空化流场计算具有着显著的优越性,所采用的迭代方法精度高、收敛速度快,所得结论对深入了解空化特性具有参考价值。更多还原

【Abstract】 Based on the potential theory,the numerical algorithm for calculation of the steady cavity flows around the planar and axisymmetric body by use of the boundary element method(BEM) are proposed.The optimization iteration scheme for solving the free surface of cavity flow is presented.The Riabouchinsky cavitating closure scheme is used and the length of the free streamline is chosen as the parameter for calculation of the unknown free boundary in the steady and imponderable case.The relative error between computational results and analytic solution is less than 3%.The hypothesis that the supercavity contour was revolution ellipsoid is not accuracy in the frontal part boundaries.The superior effectiveness of BEM is shown by compared with the results of other methods and the presented iteration technique has high precision.The results are valuable to qualitative understand the property of cavity.更多还原