Visualizing vector field topology in fluid flows
Visualizing vector field topology in fluid flows
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DOI：
10.1109/38.79452
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发表时间：
1991-05
影响因子：
1.8
通讯作者：
James Helman;L. Hesselink
中科院分区：
文献类型：
--
作者：
James Helman;L. Hesselink
描述了用于自动分析和显示一般的矢量场拓扑和特别是流拓扑的方法。通过使用技术来提取和可视化拓扑信息，有可能将示意图的简单性与直接从数据计算的曲线和曲面的定量准确性联合收割机结合起来。本文讨论了二维矢量场拓扑，包括临界点和时间相关流，为三维分离流的拓扑研究提供了基础。表面拓扑结构和分离结构的三维流动，然后解决。构造的相切表面的表示是准确的，以及有效的计算和显示，检查，包括镶嵌，裁剪和细化。考虑定位、表征和显示三维临界点。>
Methods for automating the analysis and display of vector field topology in general, and flow topology in particular, are described. By using techniques to extract and visualize topological information, it is possible to combine the simplicity of schematic depictions with the quantitative accuracy of curves and surfaces computed directly from the data. Two-dimensional vector field topology is discussed, covering critical points and time-dependent flows, to provide a basis for the examination of topology in three-dimensional separated flows. Surface topology and separation structures in three-dimensional flows are then addressed. The construction of representations of tangent surfaces that are accurate, as well as efficient to compute and display, is examined, covering tessellation, clipping, and refinement. Locating, characterizing, and displaying three-dimensional critical points are considered.>