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Flows around a circular cylinder displaying an unsteady vortex shedding process at the Reynolds numbers of 1000, 3900 and 1×104 are studied using a finite-volume Total Variation Diminishing (TVD) scheme for solving the Unsteady Reynolds-Averaged Navier-Stokes (URANS) equations. An Elemental Velocity Vector Transformation (EVVT) approach is proposed for the local normal and tangential velocity transformation at the interfaces of main and satellite elements. The presented method is validated by comparing with the available experimental data and numerical results. It is shown that the two-dimensional TVD finite volume method with the Renormalization Group (RNG) turbulence model can be used to determine hydrodynamic forces and captures vortex shedding characteristics very well.