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在采用Poisson方程进行曲线网格生成时,如何确定合适的调节因子P、Q函数是一个重要的研究内容.分析了Thompson的曲线网格生成方法中控制网格分布的调节函数的缺陷,经过严格推导得出了一组新的调节函数P、Q的表达式,并采用新调节函数生成曲线网格.网格实例表明,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正交曲线网格,网格的尺寸与形状连续光滑地变化,网格线的光滑性和间距得到了有效的控制,网格分布能够适应物理量场变化的情形;正交曲线网格能够在实际水利工程流场数值模拟中准确地使用边界条件,从而提高其求解的精确度.
How to determine the suitable adjustment factor P and Q function is an important research content when using Poisson equation for curve mesh generation.Through the analysis of the defects of Thompson’s curve mesh generation method to control the adjustment function of the mesh distribution, A new set of expressions for the adjustment functions P and Q are deduced and a new adjustment function is used to generate the curve grids.The grid example shows that the adjustment function can generate the ideal connectivity for the single or multiple connected domains with complex boundaries Orthogonal curvilinear grids, the size and shape of the grid change continuously and smoothly, the smoothness and spacing of the grid lines are effectively controlled, and the grid distribution can adapt to the change of the physical field. The orthogonal curvilinear grid can be used in practice The flow field numerical simulation accurately uses the boundary conditions to improve the accuracy of the solution.