Skip to main content
Article thumbnail
Location of Repository

Fast numerical evaluation of flow fields with vortex cells

By T. Hetsch, R. Savelsberg, S. Chernyshenko and I.P. Castro


A vortex cell (in this paper) is an aerodynamically shaped cavity in the surface of a body, for example a wing, designed specially to trap the separated vortex within it, thus preventing large-scale unsteady vortex shedding from the wing. Vortex stabilisation can be achieved either by the special geometry, as has already been done experimentally, or by a system of active control. In realistic conditions the boundary and mixing layers in the vortex cell are always turbulent. In the present study a model for calculating the flow in a vortex cell was obtained by replacing the laminar viscosity with the turbulent viscosity in the known high-Reynolds-number asymptotic theory of steady laminar flows in vortex cells. The model was implemented numerically and was shown to be faster than solving the Reynolds-aver- aged Navier–Stokes equations. An experimental facility with a vortex cell was built and experiments performed. Comparisons of the experimental results with the predictions of the model are reasonably satisfactory. The results also indicate that at least for flows in near-circular vortex cells it is sufficient to have accurate turbulence models only in thin viscous layers, while outside the viscosity should only be small enough to make the flow effectively invisci

Topics: TL
Year: 2009
OAI identifier:
Provided by: e-Prints Soton

Suggested articles


  1. (2007). A Large-Eddy Simulation of Vortex Cell Flow with Incoming Turbulent Boundary Layer,
  2. (1976). A modern look at conformal mappings, including multiply connected regions, doi
  3. (1956). A proposal concerning laminar wakes behind blu bodies at large Reynolds number. doi
  4. A Wind Tunnel Investigation of the Kasper Vortex Concept, AIAA-paper 77-310,
  5. (1974). Aircraft wing with vortex generation.
  6. (1999). An Experimental Analysis of Vortex Trapping doi
  7. (1985). An experimental study of geometrical e ects on the drag and flow field of two blu bodies separated by a gap. doi
  8. (1974). Analysis of Turbulent Boundary Layers. doi
  9. (1998). Asymptotic theory of global separation. doi
  10. (2004). Experimental investigation of the flow characteristics within a shallow wall cavity for both laminar and turbulent upstream boundary layers, doi
  11. (2008). Feedback shear layer control for blu body drag reduction. doi
  12. (1982). High-Re solutions for incompressible flow using the Navier-Stokes equations and a multi-grid method, doi
  13. (1998). High-Reynolds-number Batchelor-model asymptotics of a flow past an aerofoil with a vortex trapped in a cavity. doi
  14. (1960). Layer Theory. Fourth edition, doi
  15. (1995). Method for control of the boundary layer on the aerodynamic surface of an aircraft, and the aircraft provided with the boundary layer control system.
  16. (2000). Numerical and Physical Modelling of a Low-Velocity Air Flow in a Channel with a Circular Vortex Cell. doi
  17. (2000). Numerical and Physical Modelling of the Circulation Flow in a Vortex Cell in the Wall of a Rectilinear Chanel. Fluid Dynamics,
  18. (2003). Numerical computation of three-dimensional incompressible NavierStokes equations in primitive variable form by DQ method, doi
  19. (1965). On an error of F.O.Ringleb,” Izv.
  20. (1956). On steady laminar flow with closed streamlines at large Reynolds number. doi
  21. (1998). Post-stall flow control on an airfoil by local unsteady forcing. doi
  22. (2003). Review of active control of flow-induced cavity resonance. doi
  23. (1961). Separation Control by Trapped Vortices,” Boundary Layer and Flow Control, Volume
  24. Some applications of conjugate functions. doi
  25. (1995). Stabilization of trapped vortices by alternating blowing-suction, doi
  26. (1961). The Mathematical Theory of Viscous Incompressible Flow. doi
  27. (1978). Thin Layer Approximation and Algebraic Model for Separated Turbulent Flow. doi
  28. (1998). Turbulence Modeling for CFD. Second edition,
  29. (2006). Vortex equilibrium in flows past blu bodies. doi
  30. (1993). Vortex lift at a very high angle of attack with massively separated unsteady flow. doi
  31. Vortex’ flow in open cylindrical-section cavities. Experiments in Fluids, doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.