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以贴体网格的微分方程生成法为基础,采用Thompson和Sorenson的思想,以指数函数作内插传递,根据网格正交性和间距的要求构造源函数,然后通过求解带源项的Laplace方程,实现了双流道泵叶轮内三维贴体网格的自动生成,并对该叶轮在设计工况下的内部流动进行了数值模拟.结果表明:用该法生成的网格品质良好,能有效提高叶轮内部流动数值计算的前处理环节的效率和精度;网格疏密度可人为控制,且网格线与边界正交,便于湍流壁面条件的引入;编写的网格生成程序通用性强,经改进也可用于其他非规则几何形状流道网格的自动生成.
Based on the idea of Thompson and Sorenson, the exponential function is used to interpolate the differential equations. The source functions are constructed according to the grid orthogonality and the spacing requirements. Then by solving Laplace Equation was established to realize the automatic generation of the three-dimensional body-fitted grid in the double-flow impeller and the numerical simulation of the internal flow of the impeller under the design conditions.The results show that the grid generated by this method is of good quality and effective Improve the efficiency and accuracy of preprocessing of numerical calculation of flow inside impeller; the degree of mesh density control can be man-made, and the grid line is orthogonal to the boundary to facilitate the introduction of turbulent wall conditions; the prepared mesh generation program is versatile, Improvements can also be applied to the automatic generation of other non-regular geometry runner meshes.