STATISTICS OF TURBULENCE IN A GENERALIZED RANDOM-FORCE-DRIVEN BURGERS-EQUATION

The statistics of solutions to a family of one-dimensional random-forc e-driven advection-diffusion equations is studied using high resolutio n numerical simulations. The equation differs from the usual Burgers e quation by the non-local form of the nonlinear interaction term mimick ing the non-locality of the Navier-Stokes equation. It is shown that u nder an appropriate choice of random forcing the statistical propertie s of the solution (energy spectrum and scaling exponents of structure functions) coincide with those of Kolmogorov turbulence. Also, a gener alization is proposed which allows intermittency effects to be modeled . (C) 1997 American Institute of Physics.