  We propose a novel discrete method of constructing Gaussian Random Fields
(GRF) based on a combination of modified spectral representations, Fourier and
Blob. The method is intended for Direct Numerical Simulations of the V-Langevin
equations. The latter are stereotypical descriptions of anomalous stochastic
transport in various physical systems. From an Eulerian perspective, our method
is designed to exhibit improved convergence rates. From a Lagrangian
perspective, our method others a pertinent description of particle trajectories
in turbulent velocity fields: the exact Lagrangian invariant laws are well
reproduced. From a computational perspective, our method is twice as fast as
standard numerical representations.
