【摘要】 本文使用在一对相邻边界上可任意选定边界网格点的数值方法,通过逐次求解拉普拉斯方程组,成功地生成了非对称渠槽中的正交贴体坐标系.这种方法不必引入任何经验性因子或构造某些特殊函数,即可将不规则的物理图形转化为变换平面中单位面积的正方形.本文在给出求解原理和较详细的数值计算过程的基础上,展示了非对称渠槽截面正交贴体坐标系生成的结果和各种误差变化过程,并对该方法的应用前景进行了讨论.更多还原

【Abstract】 Through solving iteratively the Laplace Equations,a numerical method of directly determining the grid pointson a Pair of adjacent boundaries has been successfully used to generate the orthogonal body-fitted co-ordinate system for a section of a non-symmetrical channel.It is not necessary to introduce any empirical factors or to construct special functions,the irregular figure can be transformed into a square with a unit area.After giving the computational theory and detailed numerical calculation processes the main results and error curves of the generation of the orthogonal body-fitted co-ordinate system are shown,and the applicability of this method is also discussed.更多还原