Surface representations of two and threedimensional fluid flow topology
Abstract
We discuss our work using critical point analysis to generate representations of the vector field topology of numerical flow data sets. Critical points are located and characterized in a twodimensional domain, which may be either a twodimensional flow field or the tangential velocity field near a threedimensional body. Tangent curves are then integrated out along the principal directions of certain classes of critical points. The points and curves are linked to form a skeleton representing the twodimensional vector field topology. When generated from the tangential velocity field near a body in a threedimensional flow, the skeleton includes the critical points and curves which provide a basis for analyzing the threedimensional structure of the flow separation. The points along the separation curves in the skeleton are used to start tangent curve integrations to generate surfaces representing the topology of the associated flow separations.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 October 1990
 Bibcode:
 1990STIA...9354875H
 Keywords:

 Flow Geometry;
 Fluid Flow;
 Three Dimensional Flow;
 Topology;
 Two Dimensional Flow;
 Computational Fluid Dynamics;
 Flow Distribution;
 Flow Stability;
 Flow Velocity;
 Separated Flow;
 Three Dimensional Bodies;
 Fluid Mechanics and Heat Transfer