Higher Order Compact Numerical Simulation of Shear Flow Past Inclined Square Cylinder

Abstract

The numerical simulation of 2D unsteady, incompressible shear flow past square cylinder with an angle of incidence (α = 45°) is carried out in this paper. Simulations are performed using ψ-ω formulation of Navier-Stokes equations on compact uniform grid. Higher Order Compact (HOC) formulation is used to discretize the governing equations. Numerical results are presented for Reynolds number Re = 100 with three different shear parameters K = 0.0, 0.05 and 0.1. Computed results are compared with existing numerical results. Our computed results are found to produce better approximation of the exact flow dynamics. Shedding frequency is seen to decrease with increasing K.