Turbulent solutions of the compressible NavierStokes equations using a composite velocity procedure
Abstract
A relaxation procedure using a compositevelocity formulation and an eddyviscosity model to simulate turbulent flows over an axisymmetric afterbody is presented. A multiplicative composite for the inviscid and viscous velocities is prescribed in the compressible NavierStokes equations. The eddy viscosity model is used to simulate turbulence at high Reynolds numbers. The governing equations are written in orthogonal curvilinear coordinates. Bodyfitted coordinates are prescribed using an extension of the SchwarzChristoffel transformation. The finite difference form of the equations are solved using a strongly implicit procedure which allows for arbitrarily large time steps.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1983
 Bibcode:
 1983aiaa.meet...11C
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Eddy Viscosity;
 NavierStokes Equation;
 Relaxation Method (Mathematics);
 Turbulent Flow;
 Finite Difference Theory;
 Flow Velocity;
 Numerical Stability;
 SchwarzChristoffel Transformation;
 Turbulent Boundary Layer;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer