An explicit finite-volume time-marching procedure for turbulent flow calculations
Abstract
A method was developed which calculates two-dimensional, transonic, viscous flow in ducts. The finite-volume, time-marching formulation is used to obtain steady flow solutions of the Reynolds-averaged form of the Navier-Stokes equations. The entire calculation is performed in the physical domain. Control volumes are chosen so that smoothing of flow properties, typically required for stability, is not required. Different time steps are used in the different governing equations. A new pressure interpolation scheme is introduced which improves the shock capturing ability of the method. A multi-volume method for pressure changes in the boundary layer allows calculations which use very long and thin control volumes (length/height - 1000). The method is compared with two test cases. Essentially incompressible turbulent boundary layer flow in an adverse pressure gradient is calculated and the computed distributions of mean velocity and shear are in good agreement with the measurements. Transonic viscous flow in a converging diverging nozzle is calculated; the Mach number upstream of the shock is approximately 1.25. The agreement between the calculated and measured shock strength and total pressure losses is good.
- Publication:
-
In its Thermodynamic Evaluation of Transonic Compressor Rotors Using the Finite Volume Approach p 59-70 (SEE N87-23925 17-34
- Pub Date:
- December 1986
- Bibcode:
- 1986tetc...59...59N
- Keywords:
-
- Computational Fluid Dynamics;
- Ducted Flow;
- Finite Volume Method;
- Flow Velocity;
- Navier-Stokes Equation;
- Time Marching;
- Turbulent Flow;
- Two Dimensional Flow;
- Viscous Flow;
- Computational Grids;
- Convergent-Divergent Nozzles;
- Interpolation;
- Nozzle Flow;
- Shear Stress;
- Shock Waves;
- Turbulent Boundary Layer;
- Fluid Mechanics and Heat Transfer