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Abstract
A general calculation procedure for computing fluid flow and related phenomena in arbitrary-shaped domains is presented. The scheme has been developed for a generalized nonorthogonal coordinate system and is based on a control-volume approach with a staggered grid arrangement. The physical covariant velocity components are selected as the dependent variables in the momentum equations. The discretization equations for these velocity components are obtained by an algebraic manipulation of the discretization equations for the Cartesian velocity components. Such a practice avoids any reference to the differential form of the governing equations for the covariant velocity components. The coupling between the continuity and momentum equations is effected using the SIMPLER algorithm.