Topological Analysis of Inertial Dynamics

Traditional vector field visualization has a close focus on velocity, and is typically constrained to the dynamics of massless particles. In this paper, we present a novel approach to the analysis of the force-induced dynamics of inertial particles. These forces can arise from acceleration fields su...

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Veröffentlicht in:IEEE transactions on visualization and computer graphics. - 1996. - 23(2017), 1 vom: 03. Jan., Seite 950-959
1. Verfasser: Sagrista, Antoni (VerfasserIn)
Weitere Verfasser: Jordan, Stefan, Just, Andreas, Dias, Fabio, Nonato, Luis Gustavo, Sadlo, Filip
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2017
Zugriff auf das übergeordnete Werk:IEEE transactions on visualization and computer graphics
Schlagworte:Journal Article Research Support, Non-U.S. Gov't
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520 |a Traditional vector field visualization has a close focus on velocity, and is typically constrained to the dynamics of massless particles. In this paper, we present a novel approach to the analysis of the force-induced dynamics of inertial particles. These forces can arise from acceleration fields such as gravitation, but also be dependent on the particle dynamics itself, as in the case of magnetism. Compared to massless particles, the velocity of an inertial particle is not determined solely by its position and time in a vector field. In contrast, its initial velocity can be arbitrary and impacts the dynamics over its entire lifetime. This leads to a four-dimensional problem for 2D setups, and a six-dimensional problem for the 3D case. Our approach avoids this increase in dimensionality and tackles the visualization by an integrated topological analysis approach. We demonstrate the utility of our approach using a synthetic time-dependent acceleration field, a system of magnetic dipoles, and N-body systems both in 2D and 3D 
650 4 |a Journal Article 
650 4 |a Research Support, Non-U.S. Gov't 
700 1 |a Jordan, Stefan  |e verfasserin  |4 aut 
700 1 |a Just, Andreas  |e verfasserin  |4 aut 
700 1 |a Dias, Fabio  |e verfasserin  |4 aut 
700 1 |a Nonato, Luis Gustavo  |e verfasserin  |4 aut 
700 1 |a Sadlo, Filip  |e verfasserin  |4 aut 
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