Topological analysis of inertial dynamics

• Verfasst von: Sagristà Sellés, Antoni [VerfasserIn]
• Verfasst von: Jordan, Stefan [VerfasserIn]
• Verfasst von: Just, Andreas [VerfasserIn]
• Titel: Topological analysis of inertial dynamics
• Verf.angabe: Antoni Sagrista, Stefan Jordan, Andreas Just, Fabio Dias, Luis Gustavo Nonato, and Filip Sadlo
• Jahr des Originals: 2016
• Umfang: 10 S.
• Fussnoten: Date of publication: 10 August 2016 ; Gesehen am 06.11.2017
• Titel Quelle: Enthalten in: Institute of Electrical and Electronics Engineers: IEEE transactions on visualization and computer graphics
• Jahr Quelle: 2017
• Band/Heft Quelle: 23(2017), 1, S. 950-959
• ISSN Quelle: 1941-0506
• DOI: doi:10.1109/TVCG.2016.2599018
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1565011260

Abstract

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.