Fig. 2.

Schematic representation of the finite differences central stencils. Velocity field V evaluation at $P=(i,j,k)$ through operator $\mathcal{M}\left(\mathit{V}\right)$ using standard (a) and filtered approach (b) and velocity field V derivative evaluation at $P=(i,j,k)$ through operator $\mathcal{D}\left(\mathit{V}\right)$ using standard (c) and filtered central differences approach (d).