Three-dimensional forced Burgers turbulence supplemented with a continuity equation.
We investigate turbulent limit of the forced Burgers equation supplemented with a continuity equation in three dimensions. The scaling exponent of the conditional two-point correlation function of density, i.e., <rho(x1)rho(x2)/delta u> approximately /x1-x2/(-alpha3), is calculated self-consistently in the nonuniversal region from which we obtain alpha3=3. Also we derive an equation governing the evolution of the probability density function (PDF) of longitudinal velocity increments in length scale, from which a possible mechanism for the dependence of the inertial PDF to one-point u(rms) is developed.
Davoudi
J
J
Max-Planck Institute for Complex Systems, Noethnitzer Strasse 38, 01187 Dresden, Germany.
Masoudi
A A
AA
Rahimi Tabar
M R
MR
Rastegar
A R
AR
Shahbazi
F
F