A statistical investigation of the singlepoint pdf of velocity and vorticity based on direct numerical simulations
Abstract
Vorticity plays a fundamental role in turbulent flows. The dynamics of vorticity in turbulent flows and the effect on singlepoint closure models were investigated. The approach was to use direct numerical simulations of turbulent flows to investigate the pdf of velocity and vorticity. The preliminary study of homogeneous shear flow has shown that the expectation of the fluctuating pressure gradient, conditioned with a velocity component, is linear in the velocity component, and that the coefficient is independent of velocity and vorticity. In addition, the work shows that the expectation of the pressure gradient, conditioned with a vorticity component, is essentially zero.
 Publication:

Studying Turbulence Using Numerical Simulation Databases
 Pub Date:
 December 1987
 Bibcode:
 1987stun.proc..147M
 Keywords:

 Computational Fluid Dynamics;
 Mathematical Models;
 Shear Flow;
 Statistical Analysis;
 Transport Theory;
 Turbulent Flow;
 Velocity Distribution;
 Vorticity;
 Boundary Value Problems;
 Computerized Simulation;
 Flow Distribution;
 Pressure Gradients;
 Fluid Mechanics and Heat Transfer