Simulation of timedependent compressible viscous flows using central and upwindbiased finite difference techniques
Abstract
Four timedependent numerical algorithms for the prediction of unsteady, viscous compressible flows are compared. The analyses are based on the timedependent NavierStokes equations expressed in a generalized curvilinear coordinate system. The methods tested include three traditional centraldifference algorithms, and a new upwindbiased algorithm utilizing an implicit, timemarching relaxation procedure based on Newton iteration. Aerodynamic predictions are compared for internal ducttype flows and cascaded turbomachinery flows with spatial periodicity. Twodimensional internal ducttype flow predictions are performed using an Htype grid system. Planar cascade flows are analyzed using a numerically generated, capped, bodycentered, Otype 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 twodimensional 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;
 NavierStokes Equation;
 Steady Flow;
 Supercritical Flow;
 Supersonic Turbines;
 Turbomachinery;
 Two Dimensional Flow;
 Unsteady Flow;
 Fluid Mechanics and Heat Transfer