Solution method of parabolized Navier-Stokes equations
Abstract
Laminar and turbulent incompressible flow through curved channels is studied via artificially parabolized Navier-Stokes equations. It is shown how the laminar secondary flow develops if at the inlet of a streamwise curved channel a rigid body vortex moving in the cross section is prescribed. For low Reynolds numbers where no separation is expected, the fully parabolic Navier-Stokes equations can be applied. Using a grid spacing of 21 x 21 points in the cross flow section, the computer time needed for one calculation is less than 30sec on a Cray-1S. A solution method for engineering purposes to calculate turbulent flows in curved three dimensional ducts with variable cross sections was developed. Calculation time on the Cray-1S (21 x 21 grid) is less than 48 sec.
- Publication:
-
In its Numerical Techniques for Viscous Flow Calculations in Turbomachinery Bladings 22 p (SEE N86-30988 22-34
- Pub Date:
- 1986
- Bibcode:
- 1986ntvf.reptR....G
- Keywords:
-
- Channel Flow;
- Computational Fluid Dynamics;
- Navier-Stokes Equation;
- Parabolic Differential Equations;
- Turbomachine Blades;
- Incompressible Flow;
- Laminar Flow;
- Reynolds Number;
- Turbulent Flow;
- Fluid Mechanics and Heat Transfer