Author(s)

K. Rehman

Abstract

Flow over a circular cylinder is laminar at Re = 40. At Re = 100 distinct vortex shedding can be observed. In this paper, a fully implicit method with the fractional step has been used to discretize the Navier–Stokes equations. The cylinder boundary condition is imposed using the Immersed Boundary Method (IBM). IBM is a relatively new technique where Cartesian mesh is employed effectively for complex geometries. The method employs second-order linear and bilinear interpolations for calculation of forcing velocities which are used to enforce the no slip boundary conditions over the virtual boundary of the circular cylinder. The statistics like mean C_D, rms C_L, and Strouhal number are calculated using inverse distance interpolation of field variables over the virtual boundary of the cylinder. Other plots like streamlines and vorticity are also included. Good agreement of results with experimental and numerical simulation data is observed.

Keywords

Immersed Boundary Method, bilinear interpolation, forcing velocities