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In this paper, incompressible viscous flow is numerically analyzed by solving unsteady two-dimensional Navier-Stokes equations. Simulations are carried out by using an implicit fractional step method which consists three sub-steps: calculation of intermediate velocity, solution of the pressure correction equation, and updating of the pressure and velocity. A collocated grid system is employed rather than a staggered grid system because of the simplicity and ease of extension to threedimensional analysis. Several benchmark flows, including the liddriven cavity flow, the flow past a square cylinder and the flow around a circular cylinder were computed and validated against previous simulations or experiments to prove the accuracy and effectiveness of the present method. In this latter case, an immersed boundary method is used to handle the embedded cylinder boundary. Keywords-Numerical sumulation; Computational Fluid Dynamics; incompressible viscous flow; fractional step method; collocated grid

Numerical Simulation of Incompressible Viscous Flow Using an Implicit Fractional Step Method on Collocated Grid