An explicit finitevolume timemarching procedure for turbulent flow calculations
Abstract
A method was developed which calculates twodimensional, transonic, viscous flow in ducts. The finitevolume, timemarching formulation is used to obtain steady flow solutions of the Reynoldsaveraged form of the NavierStokes 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 multivolume 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 5970 (SEE N8723925 1734
 Pub Date:
 December 1986
 Bibcode:
 1986tetc...59...59N
 Keywords:

 Computational Fluid Dynamics;
 Ducted Flow;
 Finite Volume Method;
 Flow Velocity;
 NavierStokes Equation;
 Time Marching;
 Turbulent Flow;
 Two Dimensional Flow;
 Viscous Flow;
 Computational Grids;
 ConvergentDivergent Nozzles;
 Interpolation;
 Nozzle Flow;
 Shear Stress;
 Shock Waves;
 Turbulent Boundary Layer;
 Fluid Mechanics and Heat Transfer