Lagrangian Methods for Visualization and Analysis of Time-dependent Vector Fields

Please always quote using this URN: urn:nbn:de:gbv:ma9:1-4177
  • Time-dependent vector fields are of high relevance to describe a wide range of physical phenomena based on particle motion, including stall effects in technical engineering, blood flow anomalies, and atmospheric mass trans- port. The efficient analysis and fundamental understanding of intrinsic field properties can lead to significant improvements when interacting with such phenomena based on the available field data. So called Lagrangian methods are a particularly established technique for this purpose. They are based on the evaluation of time-dependent particle trajectories. This work will present an overview of the state of the art in time-dependent vector field analysis and visualization, with special focus on topology-oriented and Lagrangian methods. The first core aspect of this work is the introduction of a novel concept for a more objective and qualitative benchmark of existing Lagrangian approaches. Based on this benchmark, this work contributes and evaluates a set of novel concepts, that offer new perspectives towards established approaches with respect to computational handling, quality and efficiency. The second core aspect is the empirical application and validation of Lagrangian methods with respect to practically relevant analysis scenarios. Each application case includes an introduction into the underlying problem statement and an efficient solution using Lagrangian methods. The validation focuses on the comparison with existing flow analysis concepts and aspects of the quantitative evaluation in each case. Together, both topics of this work contribute towards a more consistent formalization, but also to the improved applicability of Lagrangian methods.
Author:Alexander Kuhn
Document Type:Doctoral Thesis
Tag:Flow Visualization, Time-dependent Vector Fields
Granting Institution:Otto-von-Guericke-Universit├Ąt Magdeburg
Advisor:Prof. Dr. Holger Theisel
Date of final exam:2013/04/19
Year of first publication:2013