Combinatorial Vector Field Topology in 3 Dimensions
Combinatorial Vector Field Topology in 3 Dimensions
复制标题
3 维组合矢量场拓扑
DOI：
--
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
G. Scheuermann
中科院分区：
文献类型：
--
作者：
W. Reich;D. Schneider;Christian Heine;Alexander Wiebel;Guoning Chen;G. Scheuermann
在本文中，我们提出了两种组合方法来处理三维稳定向量场，它们都使用图算法从底层向量场中提取特征。与提取单个轨迹相比，组合方法对噪声的敏感性较低。这两种方法都是将现有的二维技术直接扩展到三维领域。我们观察到第一种技术可以产生过于粗糙的结果，因此我们提出了第二种方法，使用相同的概念，但产生更详细的结果。最后以一个煤气炉室的cfd模拟为例对本文方法进行了验证。最后，我们讨论了对相对于流的不变集进行分类的几种可能性。
In this paper, we present two combinatorial methods to process 3-D steady vector fields, which both use graph algorithms to extract features from the underlying vector field. Combinatorial approaches are known to be less sensitive to noise than extracting individual trajectories. Both of the methods are a straightforward extension of an existing 2-D technique to 3-D fields. We observed that the first technique can generate overly coarse results and therefore we present a second method that works using the same concepts but produces more detailed results. We evaluate our method on a CFD-simulation of a gas furnace chamber. Finally, we discuss several possibilities for categorizing the invariant sets respective to the flow.