We propose a new algorithm belonging to the family of the sparse-mode
spectral method to simulate turbulent flows. In this method the number
of Fourier modes k increases with k more slowly than k(D-1) in dimens
ion D, while retaining the advantage of the fast Fourier transform. Ex
amples' of applications of the algorithm are given for the one-dimensi
onal Burgers' equation and two-dimensional incompressible MHD flows. (
C) 1996 Academic Press, Inc.