A numerical study of the 2- and 3-dimensional unsteady Navier-Stokes equations in velocity-vorticity variables using compact difference schemes
Abstract
A compact finite-difference approximation to the unsteady Navier-Stokes equations in velocity-vorticity variables is used to numerically simulate a number of flows. These include two-dimensional 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 two-dimensional formulation to three-dimensions is presented.
- Publication:
-
National Aeronautics and Space Administration Report
- Pub Date:
- May 1984
- Bibcode:
- 1984nasa.reptS....G
- Keywords:
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- Computational Fluid Dynamics;
- Finite Difference Theory;
- Incompressible Flow;
- Navier-Stokes 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