一种基于单元几何变形的网格修匀方法

基于单元几何变形操作提出一种高效的非结构网格质量修匀方法。其基本过程是先对每个单元独立地进行拉伸-收缩操作以优化单元的形状,然后在整个网格中通过对各单元的节点位置进行加权平均来获得改善后的网格。为进一步提高修匀方法对网格质量的优化效果,并使得该方法具备一定的网格调整能力,结合动网格技术提出了对单元进行大范围和较大幅度移动的策略;在修匀过程中还通过适当算法调整单元形心位置和单元尺寸,进一步增强了修匀方法对网格局部进行疏密调节的能力。本文方法可适用于平面和三维非结构网格的质量改善及网格调整。若干算例表明了方法的有效性。

Mesh smoothing approach based on element geometrical deformation operation

An efficient mesh smoothing approach for unstructured mesh based on element geometrical deformation operation is proposed.Firstly,shapes of all the individual elements are optimized by a two-step stretching-shrinking operation,and then the grid quality is improved through weighted average of the node position of each element in the mesh.In order to further improve the smoothing effect on the quality of grid,and enable the method to have a certain ability of mesh adjustment,a strategy of wide range and large scale movement of elements is proposed combining dynamic mesh technique.In smoothing process appropriate algorithm for changing the position of element centroid and element size is presented to further enhance the adjustment ability of local grid density.The proposed approach can be applied to the quality improvement and adjustment for planar and three-dimensional unstructured mesh.A number of examples are presented to show the effectiveness of the method.