Abstract
A staggered differencing technique on boundary-fitted curvilinear grids is developed to analyze two-dimensional incompressible flows. The technique employs physical contravariant components as primitive variables of flow velocity. Geometrical quantities used in the additional terms of a generalized Navier-Stokes equation are discretized in the cell centers or at cell vertices so as to prevent the geometrical properties from mixing in the discretizing process. A back-step flow problem and a natural convection problem are solved to assess the boundary-fitted grids along curvilinear or slant walls compared with rectangular grids.
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