Surface selections and topological constraint evaluations for flow field analyses

Surface selections and topological constraint evaluations for flow field analyses The isolated singular points (nodes, saddles) of a continuous vector field (e.g., velocity, shear stress, pressure gradient, vorticity, etc.) that are overlaid on a given surface must be compatible with the Euler characteristic of that surface, X surface. All surfaces can be fashioned from a sphere plus handles plus holes, and X surface=2−Σholes−2Σhandles=Σnodes−Σsaddles. This establishes an a priori constraint for the nodes and saddles that can be tested against the observed vector field to determine whether the experimental (or computational) observations are compatible with the known constraint. Numerous examples, including a clarification of, and a correction to, published results are given. Experiments in Fluids Springer Journals

Surface selections and topological constraint evaluations for flow field analyses

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Copyright © 2004 by Springer-Verlag
Engineering; Engineering Fluid Dynamics; Fluid- and Aerodynamics; Engineering Thermodynamics, Heat and Mass Transfer
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