Numerical simulation of incompressible inhomogeneous turbulence in a plane channel flow
Abstract
The numerical simulation of an inhomogeneous incompressible turbulence in a plane channel flow is discussed. The physical problem is modeled by NavierStokes equations for an incompressible fluid with periodic boundary conditions in homogeneous directions and no slip conditions in the inhomogeneous direction. The flow rate and energy predictions obtained after integration of momentum and energy equations depend strongly on the imposed mean pressure gradient. In the numerical method, derivatives are discretized by a fourth order finite difference scheme in space and a second order one in time; the incompressibility condition is achieved by a global technique. Substantial gains in computing time are obtained by a numerical procedure which adjusts the mean pressure gradient at the appropriate level to maintain a constant flow rate during time integration. A detailed analysis of the simulations, first validated by experiments, is completed by energy balances for each Reynolds stress component. Use of direct simulation in statistical modeling, especially second order modeling, is discussed. Promising results obtained by large eddy simulation with subgrid models are shown.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1991
 Bibcode:
 1991STIN...9123441D
 Keywords:

 Channel Flow;
 Finite Difference Theory;
 Incompressible Flow;
 NavierStokes Equation;
 Three Dimensional Flow;
 Turbulence;
 Turbulent Flow;
 Unsteady Flow;
 Computerized Simulation;
 Inhomogeneity;
 Mathematical Models;
 Reynolds Stress;
 Fluid Mechanics and Heat Transfer