Solutions of ReynoldsAveraged NavierStokes Equations for ThreeDimensional Incompressible Flows
Abstract
A general numerical method for the solution of complete Reynoldsaveraged NavierStokes equations for threedimensional flows is described. The method uses nonorthogonal bodyfitted coordinates, generated either analytically or numerically, while retaining the velocity components in a triplyorthogonal curvilinear coordinate system. The convective transport equations for mean velocities and turbulence parameters (k, ∊) are solved by the finiteanalytic 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.
 Publication:

Journal of Computational Physics
 Pub Date:
 June 1990
 DOI:
 10.1016/00219991(90)90182Z
 Bibcode:
 1990JCoPh..88..305C
 Keywords:

 Computational Fluid Dynamics;
 Incompressible Flow;
 NavierStokes Equation;
 Reynolds Equation;
 Three Dimensional Flow;
 Algorithms;
 KEpsilon Turbulence Model;
 Laminar Flow;
 Ship Hulls;
 Turbulent Flow;
 Fluid Mechanics and Heat Transfer