非结构化网格生成中背景网格对源的响应

The Response of Background Grid to Source Element for Generation of Unstructured Grids

背景网格对源的响应方法对非结构网格的生成具有重要意义,如果背景网格参数能恰当地反映出源的变化,则所生成的非结构网格就能满足网格设计的要求。将背景网格的三角形单元分为7个子域,根据源在单元中的位置对网格进行局部加密或变形,使每一个源点都与一个背景网格结点相对应,再通过求解热传导方程,使背景网格参数分布光滑,基本反映网格设计的要求,从而提高了非结构化网格的生成质量。

The response of background grid to source element is of great significance in generation of unstructured grids,and if the response can just right display the source element in background grid, the grids generated will meet more the requirements of its initial design.A new method of background grid respond to source element for generation of unstructured grids is presented. Being different from the other method, the triangular element is used as the background grid, and according to the location of a source element, the triangular element is divided into seven sub-fields. To each source element both the element considered and the sub-field in which it is located are distinguished and then the element node is adjusted or the background grid topological structure is changed,so that every source element will be just located at a corresponding node of background grid. The spacing parameters of grid points are distributed over the nodes of background grid by solving a Poisson equation using the control volume finite element method and will be much better to meet the requirement of the designed, so that this way can provide better grid quality by using the advancing-front method. Some samples of two-dimensional grids are presented and demonstrate the merits of this method.