Numerical Study of Shear Flow Past a Square Cylinder at Reynolds Numbers 100, 200

A numerical study of two-dimensional incompressible shear flow past a square cylinder is presented in this paper. Numerical simulations are performed using the recently developed higher order compact (HOC) scheme for K = 0.0, 0.1 for Re = 100, 200, where Re is the Reynolds number and K is the shear rate based on cylinder side. We investigate the effect of shear rate on the vortex shedding phenomenon in terms of stream function and vorticity contours, lift and drag coefficients employed on the cylinder and corresponding power spectra. The results presented here show that the vortex shedding phenomenon strongly depends on the Reynolds number as well as on the shear rate. In general, average drag coefficient decreases with increase in the shear rate for fixed Re and for K = 0.0 − 0.1, this change is negligible. In contrary to shear flow around circular cylinder, Strouhal number for flow past square cylinder decreases with increase in K.