边界拟合坐标网格生成方法研究

Research on Method of Grid Generation in Boundary-Fitted Coordinate System

指出了Thompson及Thomas曲线网格生成方法中控制网格分布的调节函数的问题所在,克服了Thomas曲线网格生成法中边界局部平直近似假定的缺陷,经过严格推导得出一组新的调节函数,并给出了曲线网格生成实例。实例检验表明,该调节函数能够对复杂边界的单连通域或多连通域生成理想的曲线网格,即边界处网格正交,内部网格分布能够适应物理量场变化。

Some problems concerning the adjusting functions used in Thompson method and Tomas method for grid generation is pointed out; and the disadvantage of assumption of boundary lines being locally straight for Thomas's method is overcome. A group of a new adjusting functions are obtained via the strict deductions. The curvilinear grid generation examples are given. The real example tests indicate that the grids can be formed for simple connected regions and multi-connected regions with complicated boundary,that is the curvilinear grids near boundaries are orthogonal and the interior grids can be adaptive to the variation of physical parameters field.