Numerical simulation of turbulent plane channel flows
Abstract
The unsteady Navier Stokes equations for incompressible fluids are solved by a fourth order finite difference method associated with a semiimplicit time scheme in which pressure is calculated iteratively in a way that satisfies a global incompressibility condition. This algorithm is used to simulate an unsteady, planechannel turbulent flow with Reynolds numbers of the order of 2000 (based on the mean velocity at the center and halfway point of the channel). The flow, assumed to be homogeneous in both the longitudinal and transverse directions, is maintained with an external contribution of energy realized by imposing a constant mean pressure gradient or a constant flow rate. Although both procedures result in a similar asymptotic flow, the laminar Poiseuille flow is destabilized much more rapidly when the constant flow rate procedure is used. The influence of discretization on the precision of the results is discussed.
 Publication:

In AGARD
 Pub Date:
 April 1989
 Bibcode:
 1989fdtd.agar.....D
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 Finite Difference Theory;
 Incompressible Flow;
 NavierStokes Equation;
 Turbulence Models;
 Turbulent Flow;
 Unsteady Flow;
 Computational Grids;
 Computerized Simulation;
 Iterative Solution;
 Laminar Flow;
 Low Reynolds Number;
 PredictorCorrector Methods;
 Fluid Mechanics and Heat Transfer