Abstract

A finite-volume method employing non-staggered variable arrangement and Cartesian velocity components is developed for the solution of the time-dependent three-dimensional incompressible Navier-Stokes equations on curvilinear boundary-fitted grids. The solution of the continuity equation is decoupled from the momentum equations by the SIMPLEC algorithm which enforces mass conservation by solving a pressure-correction equation. The computational scheme includes a 3D elliptic grid generation method for arbitrarily shaped domains. A number of 2D and 3D steady as well as unsteady flow examples have been computed and compared with other experimental and numerical results in order to validate the present code.

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