Journal of Fluid Mechanics

High-resolution simulations of the flow around an impulsively started cylinder using vortex methods

P.  Koumoutsakos a1p1 and A.  Leonard a1
a1 Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125, USA

Article author query
koumoutsakos p   [Google Scholar] 
leonard a   [Google Scholar] 


The development of a two-dimensional viscous incompressible flow generated from a circular cylinder impulsively started into rectilinear motion is studied computationally. An adaptative numerical scheme, based on vortex methods, is used to integrate the vorticity/velocity formulation of the Navier–Stokes equations for a wide range of Reynolds numbers (Re = 40 to 9500). A novel technique is implemented to resolve diffusion effects and enforce the no-slip boundary condition. The Biot–Savart law is employed to compute the velocities, thus eliminating the need for imposing the far-field boundary conditions. An efficient fast summation algorithm was implemented that allows a large number of computational elements, thus producing unprecedented high-resolution simulations. Results are compared to those from other theoretical, experimental and computational works and the relation between the unsteady vorticity field and the forces experienced by the body is discussed.

(Published Online April 26 2006)
(Received March 28 1994)
(Revised January 10 1995)

p1 Present address: NASA Ames 202A-1, Moffett Field, CA 94035, USA.