Numerical simulation of randomly forced turbulent flows (Q1268314)

We provide an appropriate numerical method for the simulation of randomly forced turbulent systems. The spatial discretization is based on the classical Fourier spectral method, and the time integration is performed by a second-order Runge-Kutta scheme. We examine consistency of an extension of this scheme to treat additive noise stochastic differential equations. The random number generator is based on lagged Fibonacci series. Results are presented for two randomly forced problems: the Burgers and the incompressible Navier-Stokes equations with a white-noise in time forcing term characterized by a power-law correlation function in spectral space. \(\copyright\) Academic Press.