Direct simulation of a turbulent inner flow by finitedifference method
Abstract
A threedimensional numerical model for high Re flow is presented. The model is based on the Poisson, NavierStokes, and continuity equations. Nonlinear terms are approximated by the upwind thirdorder scheme, which is used to discretize the basic equations. Turbulent duct flow is modeled without a turbulence expression by generating pressure and velocity lines which correctly depict the large scale turbulence features and the Re stress. Two sets of initial conditions are defined for simulating the transition to turbulence. The flow is initially a laminar Poiseuille flow or at rest and then exposed to a pressure gradient. The successful simulation of transition to turbulence, using either set of initial conditions, is found to be independent of the grid density employed. The results suggest that turbulence may be simpler to model than previously believed.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1985
 Bibcode:
 1985aiaa.meetT....K
 Keywords:

 Computational Fluid Dynamics;
 Finite Difference Theory;
 Incompressible Flow;
 Numerical Flow Visualization;
 Three Dimensional Flow;
 Turbulent Flow;
 Ducted Flow;
 High Reynolds Number;
 Laminar Flow;
 NavierStokes Equation;
 Poisson Equation;
 Reynolds Number;
 Reynolds Stress;
 Three Dimensional Models;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer