© IAEME PublicationSteady incompressible viscous flow past a square cylinder confined in a channel is numerically simulated. The considered channel has a blockage ratio of 1/8. The governing 2-D steady incompressible Navier–Stokes equations are solved with a very efficient finite difference numerical method using a very large stretched mesh such that the inflow and the outflow boundary is located very far away from the square cylinder. The numerical solutions of steady incompressible viscous flow around a square cylinder confined in a channel with 1/8 blockage ratio is obtained up to Reynolds number of 410. Detailed results of the flow characteristics are presented.