Abstract

A finite-difference solution algorithm is developed to solve the Navier-Stokes equations in a nonorthogonal curvilinear coordinate system. The governing equations are written in the strong-conservative-law form. A rectangular computational domain is yielded by Morettis transformation. The matrix of the transformation can be determined by direct analytic differentiation. The discretized conservation equations are derived on a control volume basis and solved by the extended SIMPLE calculation procedure. Numerical results obtained by employing the present methodology wil be compared with results from analytical solutions. The relative merits of three numerical representations for approximating the convection terms in the momentum equations are compared

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