Abstract

In this paper, a finite volume method for solving the three-dimensional incompressible time-averaged Navier-Stokes equations in a general curvilinear coordinate system has been developed and evaluated. The main solution algorithm is the extension of the SIMPLE algorithm to make a general curvilinear formulation of the governing equations, leaving the dependent variables in their original orthogonal coordinates. The standard k-e turbulence model is used for the closure of the Reynolds equations. This numerical procedure is applied to the calculations of turbulent flows over a surface-mounted cube with symmetry orientations (θ=90°, 45°) and a Bell-shaped hill. The results are compared with the available experimental data. The predicted flow properties show good correspondence with the experimental ones, but there are some discrepancies.

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