00983nas a2200169 4500008004100000022001800041245006500059210006300124260002100187300001200208520044100220100002300661700002300684700002100707700002200728856006300750 2003 eng d a981-238-317-400aEvolution of Topology in Axi-Symmetric and 3-D Viscous Flows0 aEvolution of Topology in AxiSymmetric and 3D Viscous Flows bWorld Scientific a622-6433 aTopological 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.1 aScheuermann, Gerik1 aKollmann, Wolfgang1 aTricoche, Xavier1 aWischgoll, Thomas uhttp://knoesis.wright.edu/library/resource.php%3Fid%3D209200896nas a2200133 4500008004100000245006500041210006300106520044100169100002300610700002300633700002100656700002200677856006300699 2002 eng d00aEvolution of Topology in Axi-Symmetric and 3-D Viscous Flows0 aEvolution of Topology in AxiSymmetric and 3D Viscous Flows3 aTopological 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.1 aScheuermann, Gerik1 aKollmann, Wolfgang1 aTricoche, Xavier1 aWischgoll, Thomas uhttp://knoesis.wright.edu/library/resource.php%3Fid%3D209200991nas a2200145 4500008004100000245008400041210006900125300001200194520051700206100002300723700002100746700001600767700002200783856004000805 2002 eng d00aTopology Tracking for the Visualization of Time-Dependent Two-Dimensional Flows0 aTopology Tracking for the Visualization of TimeDependent TwoDime a249-2583 aThe 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.
1 aScheuermann, Gerik1 aTricoche, Xavier1 aHagen, Hans1 aWischgoll, Thomas uhttp://knoesis.wright.edu/node/2379