Abstract
A numerical scheme for analyzing the unsteady two-dimensional incompressible viscous flow using a general curvilinear coordinate grid is proposed. In this scheme, the unsteady Navier-Stokes equations are solved by a convective-difference scheme using a staggered square grid in transformed space and an interpolation formula considering TVD concept. And an elliptic equation of pressure is solved by the iteration scheme. The continuity condition in the scheme is identically satisfied and the spurious errors are completely removed by the similar manner to the MAC scheme. As numerical examples square cavity, U-type duct and backward-facing step duct flows were calculated. The calculated results show that the scheme has a good accuracy as a second-order scheme and is stable for the high Reynolds numbers flows.
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