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提出了基于背景网格簇实现网格变形的新方法。背景网格簇由任一内边界节点和远场边界角点生成的背景网格构成,并随边界运动而变化。通过保持计算网格节点在每一个背景网格中所在单元的面积坐标不变(三维时保持体积坐标不变)而求出一组期望位置,加权平均该组期望位置,确定出该计算网格节点的新位置。其中权值与内边界节点和计算网格节点距离的倒数相关。新方法引入的背景网格簇可以有效地改进单个背景网格的不足之处。算例结果表明:基于背景网格簇的动网格生成方法实现简单,与弹簧近似法相比,新方法因不需要迭代求解方程组而非常高效,且拥有更强的网格变形能力;与Delaunay图映射法相比,该方法背景网格的单元个数极少,因此易于定位,且不会出现背景网格单元交叉的现象,网格变形能力更强,变形后的网格质量更好。
A new method of mesh deformation based on background mesh is proposed. The background grid consists of a background grid generated by any of the inner boundary nodes and the far-field boundary corners and varies with the boundary motion. A set of expected positions is obtained by keeping the area coordinates of the cells in each background grid of the calculation grid nodes unchanged (maintaining the volume coordinates unchanged in three dimensions), and the expected position is weighted and averaged to determine the calculation grid The new location of the node. Where the weight is related to the reciprocal of the distance between the inner boundary node and the calculated mesh node. The introduction of the new method of background grid clusters can effectively improve the deficiencies of a single background grid. The results of the example show that the mesh generation method based on the background mesh cluster is simple, compared with the spring approximation method, the new method is very efficient and does not require iterative solution of equations, and has a stronger ability of mesh deformation. Compared with Delaunay Compared with the map-based mapping method, this method has very few cells in the background grid, which makes it easy to locate without intersecting of the background grid cells. The grid has stronger deformation capability and better quality of the deformed grid.