基于背景网格簇的动网格生成方法
收稿日期: 2013-12-11
修回日期: 2014-03-06
网络出版日期: 2014-03-20
基金资助
国家自然科学基金(11071196)
A New Dynamic Mesh Method Based on a Cluster of Background Meshes
Received date: 2013-12-11
Revised date: 2014-03-06
Online published: 2014-03-20
Supported by
National Natural Science Foundation of China (11071196)
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.
胡会朋 , 聂玉峰 , 张阳 , 蔡力 . 基于背景网格簇的动网格生成方法[J]. 航空学报, 2014 , 35(11) : 2921 -2931 . DOI: 10.7527/S1000-6893.2014.0016
A novel dynamic grid deformation technique based on a cluster of background meshes is presented in this paper. The cluster of background meshes consists of background meshes which are generated by using any node on the internal boundaries and corner points of the far field boundary. By keeping the relative area coefficients unchanged (volume coordinates unchanged in three dimensions), the desired positions of the internal nodes in every background mesh are solved when the background meshes are moved due to the movement of the nodes on the internal boundaries. The new position of a node can be obtained by taking a weighted average of its desired positions. The weights are related to the reciprocal value of the distances between the node and internal boundary nodes. The cluster of background meshes, which is introduced by the new approach, can overcome the shortcomings of using a complex background mesh. Examples demonstrate that the mesh deformation method based on a cluster of background meshes is easy to realize. In comparison with the spring analogy method, it is more efficient for it is non-iterative, and its mesh deformation capacity is stronger. In comparison with the mesh deformation method based on Delaunay graph mapping, it is easier to locate the internal nodes and background meshes will not have overlap between elements for the structure of background meshes is simple. The method based on a cluster of background meshes has a stronger mesh deformation capacity than the Delaunay graph method, and the quality of the deformed mesh is better.
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