基于拓扑分析的二维时变矢量场可视化

系统仿真学报 ›› 2016, Vol. 28 ›› Issue (10): 2385-2393.

基于拓扑分析的二维时变矢量场可视化

李超¹, 吴玲达¹, 赵彬²

1.装备学院,北京 101416;
2.中国洛阳电子装备试验中心,洛阳 471000

收稿日期:2016-05-31 修回日期:2016-07-14 出版日期:2016-10-08 发布日期:2020-08-13
作者简介:李超(1988-),男,山东栖霞,博士生,研究方向为复杂时变流场可视化;吴玲达(1962-),女,上海,博士,研究员,研究方向为多媒体;赵彬(1986-),男,洛阳,硕士,助工,研究方向为信息安全。
基金资助:
国家自然科学基金(61202129)

Visualization of 2D Dynamic Vector Fields Based on Topology Analysis

Li Chao¹, Wu Lingda¹, Zhao Bin²

1. Equipment Academy, Beijing 101416, China;
2. Electronic Equipment Test Center, Luoyang 471000, China

Received:2016-05-31 Revised:2016-07-14 Online:2016-10-08 Published:2020-08-13

摘要/Abstract

摘要： 流动是自然界中的基本现象,是科学研究与工程实践的重要研究对象。流场可视化能够直观地描述流场,对流体运动的观测和分析具有重要辅助作用。真实流场都是时变流场,传统的流场可视化手段无法反映流体的运动趋势和内部运动差异。在分析时变矢量场可视化需求的基础上,对流场拓扑给出了新的定义,结合计算流体力学中关于拉格朗日拟序结构的研究,选取了两个典型的二维时变矢量场进行了拓扑分析,并以此对几何可视化的结果进行了优化。试验结果表明,基于拓扑分析的二维矢量场可视化能够通过提取时变流场中具有时空一致性的结构,提升研究者对于流动过程的理解,同时有效刻画流场中不同区域存在的流动特性差异,为深入理解流动开拓了新的观测和分析手段。

关键词: 流场可视化, 拓扑分析, 时变流场, 矢量场, 拉格朗日拟序结构

Abstract: Flow is one of the most fundamental phenomenon in natural world. Flow visualization can give an intuitive view of flow fields and contribute to the observation and analysis of flow. Real flow fields are all dynamic while traditional visualization approaches are not able to reflect the trends of flows or the diversity inside them. Based on the research of Lagrangian Coherent Structures in Computational Fluid Dynamics, the concept of flow field topology was redefined, two typical 2D dynamic vector fields were selected for topology analysis, and the results were used to optimize the visual effects of geometric visualization. Experiments show that visualization of 2D dynamic vector fields based on topology analysis can extract the coherent structures of flows which are helpful to the comprehension of flow for researchers and description of characteristic difference inside flows.

Key words: flow visualization, topology analysis, dynamic flow fields, vector fields, Lagrangian Coherent Structures

中图分类号:

TP391

李超, 吴玲达, 赵彬. 基于拓扑分析的二维时变矢量场可视化[J]. 系统仿真学报, 2016, 28(10): 2385-2393.

Li Chao, Wu Lingda, Zhao Bin. Visualization of 2D Dynamic Vector Fields Based on Topology Analysis[J]. Journal of System Simulation, 2016, 28(10): 2385-2393.

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