The Free Surface Signature of Unsteady, Two-Dimensional Vortex Flows

Abstract

The interaction of two-dimensional vortex flows with a free surface is studied numerically using a combined vortex/boundary 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.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1989
Accession Number
ADA250960

Entities

People

  • Dequan Yu
  • Gretar Tryggvason

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Layer
  • Capillary Waves
  • Computational Fluid Dynamics
  • Computational Science
  • Engineering
  • Equations
  • Fluid Dynamics
  • Froude Number
  • Hydrodynamics
  • Marine Engineering
  • Mechanical Engineering
  • Mechanics
  • Naval Architecture
  • Reynolds Number
  • Surface Tension
  • Three Dimensional
  • Turbulent Mixing

Fields of Study

  • Physics

Readers

  • Fluid Mechanics and Fluid Dynamics.