二维正交数值网格生成的解析——数值势流理论方法

本文运用新近势流理论研究成果,生成二维正交数值网格。在该网格构成的二维正交曲线坐标系下,可直接求解控制方程,其中拉梅系数为已知值——势流流速的倒数1/U。本文方法收敛性好,收敛速度快,运算量小。文中以连续弯道和长江某河段为例,生成数值网格,其结果令人满意.

The Technique of Analytic-numerical Potential Flow Theory of Two Dimensional Orthogonal Numerical Grid Generation

The recent achievments in potential theory have been applied to obtaining potential flow curves and equal potential curves in which density can be adjusted for complex solid boundaries. Those flow carves and equal potential curves are the two dimensional orthogonal numerical grid curves generated in this paper. In the special orthogonal curvilinear coordinate system that consists of the flow curves and equal potential curves, the scale factors of control equations in coordinate transformation have been determined-the reciprocal of potential flow velocity(l/U), control equations can be directly numerically solved. The technique has been successfully applied to generating the orthogonal numerical grid of consequent bend and section of the Yangtze river, and the results of calculations are very satisfactory.