A numerical study of the 2 and 3dimensional unsteady NavierStokes equations in velocityvorticity variables using compact difference schemes
Abstract
A compact finitedifference approximation to the unsteady NavierStokes equations in velocityvorticity variables is used to numerically simulate a number of flows. These include twodimensional laminar flow of a vortex evolving over a flat plate with an embedded cavity, the unsteady flow over an elliptic cylinder, and aspects of the transient dynamics of the flow over a rearward facing step. The methodology required to extend the twodimensional formulation to threedimensions is presented.
 Publication:

National Aeronautics and Space Administration Report
 Pub Date:
 May 1984
 Bibcode:
 1984nasa.reptS....G
 Keywords:

 Computational Fluid Dynamics;
 Finite Difference Theory;
 Incompressible Flow;
 NavierStokes Equation;
 Unsteady Flow;
 Vortices;
 Vorticity Equations;
 Algorithms;
 Cavities;
 Elliptical Cylinders;
 Flat Plates;
 Flow Distribution;
 Flow Velocity;
 Laminar Flow;
 Shear Layers;
 Stream Functions (Fluids);
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer