Anisotropic Grid Adaptation on Unstructured Meshes
Anisotropic Grid Adaptation on Unstructured Meshes
复制标题
非结构化网格上的各向异性网格自适应
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
C. Merkle
中科院分区：
文献类型：
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作者：
G. Xia;Ding Li;C. Merkle
提出了一种基于海森解的网格自适应方法。自适应是通过最小化度量空间中的小区边缘长度之间的差异来实现的。使用网格细化、粗化、连通性修改和点移动来适应网格。特别注意了黑森函数趋于零的拐点和零梯度，以及黑森函数不存在的解的不连续性。对这些临界点的适当控制能够产生与主要溶液特征对齐的各向异性单元。文中给出了亚音速、跨声速和超音速条件下边界层和高雷诺数流动的典型结果。
A grid adaptation method based on the solution Hessian is described. Adaptation is implemented by minimizing the differences between the cell edge lengths in a metric space. Grid refinement, coarsening, connectivity modifications and point movement are used to adapt the grid. Particular attention is given to points of inflection and zero gradient where the Hessian goes to zero and to solutions discontinuities across which the Hessian does not exist. Appropriate control of these critical points enables the generation of anisotropic cells that are aligned with dominant solution features. Representative results for boundary layers and high Reynolds number flows at subsonic, transonic and supersonic conditions are given to demonstrate the method.