Statistics of turbulence in a generalized random-force-driven Burgers equation
نویسندگان
چکیده
The statistics of solutions to a family of one-dimensional random-force-driven advection-diffusion equations is studied using high resolution numerical simulations. The equation differs from the usual Burgers equation by the non-local form of the nonlinear interaction term mimicking the non-locality of the Navier–Stokes equation. It is shown that under an appropriate choice of random forcing the statistical properties of the solution ~energy spectrum and scaling exponents of structure functions! coincide with those of Kolmogorov turbulence. Also, a generalization is proposed which allows intermittency effects to be modeled. © 1997 American Institute of Physics. @S1070-664X~97!00705-2#
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