Pressure and higherorder spectra for homogeneous isotropic turbulence
Abstract
The spectra of the pressure, and other higherorder quantities including the dissipation, the enstrophy, and the square of the longitudinal velocity derivative are computed using data obtained from direct numerical simulation of homogeneous isotropic turbulence at TaylorReynolds numbers R(sub lambda) in the range 38  170. For the pressure spectra we find reasonable collapse in the dissipation range (of the velocity spectrum) when scaled in Kolmogorov variables and some evidence, which is not conclusive, for the existence of a k(exp 7/3) inertial range where k = absolute value of K, is the modulus of the wavenumber. The power spectra of the dissipation, the enstrophy, and the square of the longitudinal velocity derivative separate in the dissipation range, but appear to converge together in the short inertial range of the simulations. A leastsquares curvefit in the dissipation range for one value of R(sub lambda) = 96 gives a form for the spectrum of the dissipation as k(exp 0)exp(Ck eta), for k(eta) greater than 0.2, where eta is the Kolmogorov length and C is approximately equal to 2.5.
 Publication:

Studying Turbulence Using Numerical Simulation Databases. V: Proceedings of the 1994 Summer Program
 Pub Date:
 December 1994
 Bibcode:
 1994stun.proc..177P
 Keywords:

 Computational Fluid Dynamics;
 Homogeneous Turbulence;
 Isotropic Turbulence;
 Power Spectra;
 Turbulent Flow;
 Vorticity;
 Kolmogorov Theory;
 Least Squares Method;
 Reynolds Number;
 Taylor Instability;
 Fluid Mechanics and Heat Transfer