NavierStokes computational study of axisymmetric transonic turbulent flows with a twoequation model of turbulence
Abstract
A thinlayer NavierStokes code has been used to compute the turbulent flow over two axisymmetric bodies at transonic speeds and the results are compared to experiment. A critical element of calculating such flows is the turbulence model. Numerical computations have been made with an algebraic eddy viscosity model and the kepsilon twoequation model. The kepsilon equations are developed in a general spatial coordinate system and incorporated into the thinlayer, compressible, time dependent NavierStokes code. The same implicit algorithm that simultaneously solves the Reynoldsaveraged mean flow equations is extended to solve the turbulence field equations using block tridiagonal matrix inversions. Calculations with the kepsilon model are extended up to the wall and exact values of k and epsilon at the wall are used as boundary conditions.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1985
 Bibcode:
 1985STIN...8528265S
 Keywords:

 Axisymmetric Flow;
 Mathematical Models;
 NavierStokes Equation;
 Transonic Flow;
 Turbulence Models;
 Turbulent Boundary Layer;
 Turbulent Flow;
 Equations Of Motion;
 Finite Difference Theory;
 KEpsilon Turbulence Model;
 Kinetic Energy;
 Shear Stress;
 Shock Waves;
 Thermal Conductivity;
 Fluid Mechanics and Heat Transfer