Eurographics/ Ieee-vgtc Symposium on Visualization 2008 Lagrangian Visualization of Flow-embedded Surface Structures
Eurographics/ Ieee-vgtc Symposium on Visualization 2008 Lagrangian Visualization of Flow-embedded Surface Structures
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Eurographics/ IEEE-VGTC 可视化研讨会 2008 流嵌入表面结构的拉格朗日可视化
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通讯作者：
G. Scheuermann
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作者：
Christoph Garth;Alexander Wiebel;X. Tricoche;K. Joy;G. Scheuermann
有限时间李雅普诺夫指数(FTLE)和拉格朗日相干结构的概念为复杂技术流的分析和可视化提供了一个强大的框架。它们的定义简单直观，有深厚的理论基础。我们应用这些概念来通过将拉格朗日分析限制在紧邻这些边界的表面来实现对流嵌入对象的边界附近的流的分析。为此，我们提出了一种近似这种表面上的FTLE场的方法。此外，我们实现了对与边界相关的流动结构的有效描述，例如物体边界上的分离和附着，以及使用几种特别选择的可视化技术对周围流动的具体洞察。我们通过提供一些应用示例来记录我们方法的适用性。
The notions of Finite-Time Lyapunov Exponent (FTLE) and Lagrangian Coherent Structures provide a strong framework for the analysis and visualization of complex technical flows. Their definition is simple and intuitive, and they are built on a deep theoretical foundation. We apply these concepts to enable the analysis of flows in the immediate vicinity of the boundaries of flow-embedded objects by limiting the Lagrangian analysis to surfaces closely neighboring these boundaries. To this purpose, we present an approach to approximate FTLE fields over such surfaces. Furthermore, we achieve an effective depiction of boundary-related flow structures such as separation and attachment over object boundaries and specific insight into the surrounding flow using several specifically chosen visualization techniques. We document the applicability of our methods by presenting a number of application examples.