Mass-dependent integral curves in unsteady vector fields

  • Authors:
  • Tobias Günther;Alexander Kuhn;Benjamin Kutz;Holger Theisel

  • Affiliations:
  • Visual Computing Group, University of Magdeburg;Visualization and Data Analysis, Zuse Institute Berlin;University of Stuttgart;Visual Computing Group, University of Magdeburg

  • Venue:
  • EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
  • Year:
  • 2013

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Abstract

Recent research in flow visualization is focusing on the analysis of time-dependent, but mass-less particles. However, in many application scenarios, the mass of particles -- and their resulting inertia -- is essential in understanding fluid mechanics. This includes critical processes, such as dust particles interacting with aircraft (e.g., brown- or white-out effects) and particle separation based on density variation. In this paper, we contribute a generalized description of mass-dependent particle trajectories and apply existing unsteady flow visualization methods to the mass-dependent case. This comprises the extension of common concepts, i.e., path lines, streak lines, and time lines. Furthermore, we introduce a new class of integral curves, called mass lines that effectively visualizes mass separation and captures mass-related features in unsteady flow fields that are inaccessible using traditional methods. We demonstrate the applicability of our method, using a number of real-world and artificial data sets, in which mass is a crucial parameter. In particular, we focus on the analysis of brown-out conditions, introduced by a helicopter in forward flight close to the ground.