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双曲型网格生成方法是一种十分适合于重叠网格方法应用的网格生成方法。为了避免双曲型方程将初始外形的不光滑性继续向外传播,本文采用了自动隐含数值耗散项的迎风格式进行数值离散。在法向推进方向,采用了隐式格式,使得网格推进步长的大小不受稳定性条件的限制。对实际应用中可能出现的边界条件进行了分类和处理。几个典型外形网格生成的质量是令人满意的,说明本文方法是成功的。
The hyperbolic grid generation method is a grid generation method that is very suitable for the application of the overlap grid method. In order to avoid the hyperbolic equation propagating the unsmoothness of the initial shape outwardly, numerical discretization is performed in the windward format with implicit numerical discrepancy. In the normal direction, using implicit format, making the size of the grid to promote step size stability conditions are not limited. The boundary conditions that may appear in practical application are classified and dealt with. The quality of several typical shape meshes is satisfying, which shows that our method is successful.