Simulation of time-dependent compressible viscous flows using central and upwind-biased finite difference techniques
Abstract
Four time-dependent numerical algorithms for the prediction of unsteady, viscous compressible flows are compared. The analyses are based on the time-dependent Navier-Stokes equations expressed in a generalized curvilinear coordinate system. The methods tested include three traditional central-difference algorithms, and a new upwind-biased algorithm utilizing an implicit, time-marching relaxation procedure based on Newton iteration. Aerodynamic predictions are compared for internal duct-type flows and cascaded turbomachinery flows with spatial periodicity. Two-dimensional internal duct-type flow predictions are performed using an H-type grid system. Planar cascade flows are analyzed using a numerically generated, capped, body-centered, O-type grid system. Initial results are presented for critical and supercritical steady inviscid flow about an isolated cylinder. These predictions are verified by comparisons with published computational results from a similar calculation. Results from each method are then further verified by comparison with experimental data for the more demanding case of flow through a two-dimensional turbine cascade. Inviscid predictions are presented for two different transonic turbine cascade flows.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1989
- Bibcode:
- 1989PhDT........41H
- Keywords:
-
- Algorithms;
- Computerized Simulation;
- Finite Difference Theory;
- Mathematical Models;
- Time Dependence;
- Time Marching;
- Viscous Flow;
- Cascade Flow;
- Inviscid Flow;
- Iteration;
- Navier-Stokes Equation;
- Steady Flow;
- Supercritical Flow;
- Supersonic Turbines;
- Turbomachinery;
- Two Dimensional Flow;
- Unsteady Flow;
- Fluid Mechanics and Heat Transfer