A numerical method for calculating three-dimensional, steady or unstea
dy, incompressible, viscous flow is described The conservation equatio
ns for mass and momentum and the equations of the k - epsilon turbulen
ce model are solved with a finite volume method on nonorthogonal bound
ary-fitted grids. The method employs cell-centered variable arrangemen
t and Cartesian velocity components. The SIMPLE algorithm is used to c
alculate the pressure and to enforce mass conservation. The computer c
ode is vectorizable as far as possible to achieve an optimal performan
ce on modem vector computers. Results of steady flow calculations in t
he guide vane, the pump rotor and the turbine rotor and of the unstead
y interaction simulation of the pump and the turbine of a one-stage on
e-phase non-automotive hydrodynamic torque converter are presented.