Title
Visualization methods for vortex rings and vortex breakdown bubbles
Abstract
Vortex breakdown bubbles are a subject which is of interest in many disciplines such as aeronautics, mixing, and combustion. Existing visualization methods are based on stream surfaces, direct volume rendering, tensor field visualization, and vector field topology. This paper presents a topological approach which is more closely oriented at the underlying theory of continuous dynamical systems. Algorithms are described for the detection of vortex rings and vortex breakdown bubbles, and for visualization of their characteristic properties such as the boundary, the chaotic dynamics, and possible islands of stability. Since some of these require very long streamlines, the effect of numerically introduced divergence has to be considered. From an existing subdivision scheme, a novel method for divergence conserving interpolation of cuboid cells is derived, and results are compared with those from standard trilinear interpolation. Also a comparison of results obtained with and without divergence cleaning is given.
Year
DOI
Venue
2007
10.2312/VisSym/EuroVis07/211-218
EuroVis
Keywords
Field
DocType
characteristic property,chaotic dynamic,divergence cleaning,existing subdivision scheme,vortex breakdown bubble,vortex ring,vector field topology,standard trilinear interpolation,visualization method,tensor field visualization,dynamic system
Visualization,Interpolation,Vortex,Dynamical systems theory,Mechanics,Cuboid,Streamlines, streaklines, and pathlines,Trilinear interpolation,Vortex ring,Geometry,Mathematics
Conference
Citations 
PageRank 
References 
8
0.52
8
Authors
2
Name
Order
Citations
PageRank
Ronald Peikert169535.93
Filip Sadlo245733.92