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In this paper, two approaches are presented for steady state fluid flow calculations in complex diesel engine exhaust valve-port geometries. The first one simplifies the geometry and concentrates on the fine details in the valve seat region using two-dimensional axisymmetric Navier-Stokes equations. Various configurations are examined to show the usefulness of the approach for design purposes. The second approach is illustrated by a full 3-D simulation of the flow in a complex cylinder-valve-port geometry with two exhaust valves. Details are presented on the generation of the geometry and the mesh, and important flow features from the CFD solution are described. For both approaches, limited available experimental information is presented in support of the computational results.