Solution of the threedimensional NavierStokes equations for a turbulent horseshoe vortex flow
Abstract
The problem of three dimensional turbulent horseshoe vortex/corner flow is investigated numerically. Solutions of the compressible Reynolds averaged Navier Stokes equations are computed using a linearized block implicit scheme with Douglas Gunn splitting. Solutions are computed using both two equation (kepsilon) and algebraic mixing length turbulence models, with grid distributions which provide resolution of the viscous sublayer regions. These computed results are displayed graphically and compared with recent experimental measurements. There is good qualitative agreement between computed and measured mean flow velocities, especially near the saddle point separation line. The computed corner flow has a multiple vortex structure. There are quantitative differences in details of the weak corner flows downstream of the leading edge, which may be attributable to the turbulence model used and/or numerical error. Convergence required approximately 150 iterations using a 60x50x40 grid (120,000 points) and required about 2.5 hours of CRAYXMP run time.
 Publication:

Final Report
 Pub Date:
 January 1987
 Bibcode:
 1987srai.rept.....B
 Keywords:

 Data Reduction;
 NavierStokes Equation;
 Numerical Analysis;
 Three Dimensional Flow;
 Turbulent Flow;
 Vortices;
 Algorithms;
 Computer Programming;
 Diffusion;
 KEpsilon Turbulence Model;
 Leading Edges;
 Linearity;
 Mechanical Properties;
 Velocity Distribution;
 Velocity Errors;
 Viscosity;
 Fluid Mechanics and Heat Transfer