Abstract
A numerical scheme for analyzing the steady 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. An elliptic equation of pressure is solved by the Tchebyscheff SLOR method. The substantial derivative term in the convective-difference scheme is integrated along a path line and the values at the upstream end are interpolated considering a TVD concept. As numerical examples, the backward-facing step duct and U curved duct flows were calculated. The calculated results show that the scheme has good accuracy as a second-order scheme and is speedy in reaching for the steady condition.
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