A semi-implicit numerical procedure is described for solving the Navier-Stokes equations in boundary-fitted coordinate systems. The procedure solves the steady-state equations directly without marching in time, and in the current study it is applied to flows with a predominant flow direction. Two illustrative flow situations have been analyzed and are reported. The required computing times are modest, and ore less than those for fully explicit schemes, when the steady-state behavior is of prime concern.
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Vanka et al. (1980) studied this question.