A third-order-accurate upwind scheme for Navier-Stokes solutions at high Reynolds numbers
Abstract
A third-order-accurate upwind scheme is presented for solution of the steady two-dimensional Navier-Stokes equations in stream-function/vorticity form. The scheme is found to be accurate and stable at high Reynolds numbers. A series of test computations is performed on flows with large recirculating regions. In particular, highly accurate solutions are obtained for flow in a driven square cavity up to Reynolds numbers of 10,000. These computations are used to critically evaluate the accuracy of other existing first- and second-order-accurate upwind schemes. In addition, computations are carried out for flow in a channel with symmetric sudden expansion, flow in a channel with a symmetrically placed blunt base, and the flowfield of an impinging jet. Good agreement is obtained with the computations of other investigators as well as with the available experimental data.
- Publication:
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AIAA, Aerospace Sciences Meeting
- Pub Date:
- January 1981
- Bibcode:
- 1981aiaa.meetS....A
- Keywords:
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- Channel Flow;
- Navier-Stokes Equation;
- Reynolds Number;
- Two Dimensional Flow;
- Upstream;
- Boundary Value Problems;
- Jet Impingement;
- Steady Flow;
- Stream Functions (Fluids);
- Fluid Mechanics and Heat Transfer