中文摘要：

在对重叠网格技术研究的基础上，一套以笛卡尔网格为主体、贴体的结构网格为特殊固壁边界的混合笛卡尔网格（HybridCartesianGrid，HCG）生成方法得到了发展，同时基于流场特征的笛卡尔网格自适应技术和有限体积方法的雷诺平均Navier—Stokes（RANS）的数值求解方法也得到了开发。通过对经典跨音速RAE2822翼型、双NACA0012翼型和高升力两段NLR-7301翼型进行绕流数值模拟，获得了较好的结果，验证了方法的可行性与精确性，为研究二维复杂外形流动问题提供了一种解决方法。

英文摘要：

A hybrid Cartesian grid method is developed on the basis of overlapping grid technology in this paper. The Cartesian grid is treated as main grid and the structural mesh plays the role of special solid wall boundary in this method. At the same time, a grid adaptive technology based on the characteristics of the. flow field and a finite volume type Reynolds average Navier- Stokes （ RANS ） flow solver are devel- oped for simulation of compressible viscous flows. The comparison of the simulation results of the classical transonic airfoil RAE2822 ,double NACA0012 airfoils and high lift airfoil NLR -7301 with their experi- ment data indicates that this method is feasible and accurate, so it provides a solution to the study of two -dimensional flow problems with complicated shapes