The Free Surface Signature of Unsteady, Two-Dimensional Vortex Flows
MICHIGAN UNIV ANN ARBOR DEPT OF MECHANICAL ENGINEERING AND APPLIED MECHANICS
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The interaction of two-dimensional vortex flows with a free surface is studied numerically using a combined vortexboundary integral technique. The vorticity is modeled as point vortices, vortex sheets and finite area vortex regions. Two problems are studied in considerable detail, the large amplitude Kelvin-Helmholtz instability of a submerged shear-layer and the head-on collision of a vortex pair with the free surface. The surface deformation is controlled by a Froude number, based on the vortical motion, and the geometrical parameters describing the initial vortex configuration. Large Froude numbers generally lead to strong interactions for sufficiently shallow vortices.
- Fluid Mechanics