Solution method of parabolized NavierStokes equations
Abstract
Laminar and turbulent incompressible flow through curved channels is studied via artificially parabolized NavierStokes 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 NavierStokes 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 Cray1S. 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 Cray1S (21 x 21 grid) is less than 48 sec.
 Publication:

In its Numerical Techniques for Viscous Flow Calculations in Turbomachinery Bladings 22 p (SEE N8630988 2234
 Pub Date:
 1986
 Bibcode:
 1986ntvf.reptR....G
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 NavierStokes Equation;
 Parabolic Differential Equations;
 Turbomachine Blades;
 Incompressible Flow;
 Laminar Flow;
 Reynolds Number;
 Turbulent Flow;
 Fluid Mechanics and Heat Transfer