%0 Book Section
%B Numerical Simulations of Incompressible Flows
%D 2003
%T Evolution of Topology in Axi-Symmetric and 3-D Viscous Flows
%A Gerik Scheuermann
%A Wolfgang Kollmann
%A Xavier Tricoche
%A Thomas Wischgoll
%X Topological methods are used to establish global and to extract local structure properties of vector fields in axi-symmetric and 3-d flows as function of time. The notion of topological skeleton is applied to the interpretation of vector fields generated numerically by the Navier-Stokes equations. The flows considered are swirling jets with super-critical swirl numbers that show low Reynolds number turbulence in the break-up region.
%B Numerical Simulations of Incompressible Flows
%I World Scientific
%P 622-643
%G eng
%0 Conference Paper
%D 2002
%T Evolution of Topology in Axi-Symmetric and 3-D Viscous Flows
%A Gerik Scheuermann
%A Wolfgang Kollmann
%A Xavier Tricoche
%A Thomas Wischgoll
%X Topological methods are used to establish global and to extract local structure properties of vector fields in axi-symmetric and 3-d flows as function of time. The notion of topological skeleton is applied to the interpretation of vector fields generated numerically by the Navier-Stokes equations. The flows considered are swirling jets with super-critical swirl numbers that show low Reynolds number turbulence in the break-up region.
%G eng
%0 Journal Article
%J Computer and Graphics
%D 2002
%T Topology Tracking for the Visualization of Time-Dependent Two-Dimensional Flows
%A Gerik Scheuermann
%A Xavier Tricoche
%A Hans Hagen
%A Thomas Wischgoll
%X The paper presents a topology-based visualization method for time-dependent two-dimensional vector fields. A time interpolation enables the accurate tracking of critical points and closed orbits as well as the detection and identification of structural changes. This completely characterizes the topology of the unsteady flow. Bifurcation theory provides the theoretical framework. The results are conveyed by surfaces that separate subvolumes of uniform flow behavior in a three-dimensional space-time domain.
%B Computer and Graphics
%P 249-258
%G eng