SOLUTIONS OF REYNOLDS-AVERAGED NAVIER-STOKES EQUATIONS FOR 3-DIMENSIONAL INCOMPRESSIBLE FLOWS

A general numerical method for the solution of complete Reynolds-averaged Navier-Stokes equations for three-dimensional flows is described. The method uses nonorthogonal body-fitted coordinates, generated either analytically or numerically, while retaining the velocity components in a triply-orthogonal curvilinear coordinate system. The convective transport equations for mean velocities and turbulence parameters (k, ε) are solved by the finite-analytic method in the transformed domain. The pressure field is updated using a modified version of the SIMPLER algorithm to satisfy the equation of continuity. The capability of the method and its overall performance are demonstrated by calculations of the flow over a typical ship hull. © 1990.