NavierStokes computations past a prolate spheroid at incidence. I  Low incidence case
Abstract
An analytical technique is developed based on the fully elliptic mode for calculating incompressible 3D viscous flows about a prolate spheroid at incidence. A system of numerically generated curvilinear coordinates is employed with Cartesian velocity components which act as dependent variables. A pressure solver couples the velocity and pressure fields by means of the PISO procedure by Issa (1985) in the context of a nonstaggered grid. Attention is given to the computational effort required per grid point in the formulation of the pressure solver based on an LUpreconditioned conjugategradient method. The main features of the vortical flows are effectively evaluated using the technique, and a pressure field is noted that results from the viscousinviscid interaction. This predicted feature is supported by experimental evidence, and the velocity profiles and shear stresses are also shown to be accurate.
 Publication:

Computers and Fluids
 Pub Date:
 October 1992
 Bibcode:
 1992CF.....21..599P
 Keywords:

 NavierStokes Equation;
 Three Dimensional Flow;
 Viscous Flow;
 Elliptic Functions;
 Prolate Spheroids;
 Spherical Coordinates;
 Stream Functions (Fluids);
 Vorticity;
 Fluid Mechanics and Heat Transfer