定边界点二维正交曲线网格的数值生成方法

Numerical procedure for generation of 2-D orthogonal body-fitted curvilinear coordinate system with arbitrarily determined grid points on the boundary

使用一种可以在边界上任意确定网格点的方法生成二维正交曲线网格.结果表明:该法以求解拉普拉斯方程组为基础,物理概念明确,且无需构造"合并"或"聚集"控制函数,使得方程离散简单,经验性因素降低;该法网格线与边界的正交性良好,可随意控制网格的疏密度,而且利用这一特性可将分汊区域或多连域分割成多个单连域分别进行求解,使几何图形复杂的计算区域网格的生成得到简化.

Based on the solution of the Laplace Equations, a numerical procedure for generation of 2-D orthogonal body-fitted curvilinear coordinate system is developed in which the grid points on the boundary can be arbitrarily determined. The method is clear in physical concept, and it is unnecessary to construct special controlling functions, hence the method makes the grid generation easier and also reduces some empirical influences. The grids generated by the method are of good orthogonality to the boundary, and the grid density can be adjusted arbitrarily. With such a characteristic, the braided region and multiply connected region can be divided into several simple connected regions to be solved respectively, and therefore the method simplifies the grid generation for the region with complicated geometric boundaries.