  The Clebsch representation of a velocity field represents an effective tool
for the analysis of physical properties of fluid flows. Indeed, a suitable
choice of Clebsch potentials can be used to extract structural features that
would otherwise be hidden within the complexity of fluid patterns and their
evolution. In this work, we report the solution of the two-dimensional
incompressible Navier-Stokes equations via Clebsch potentials. The results are
in agreement with the solution of the vorticity equation for the stream
function. Furthermore, we numerically demonstrate that the Shannon information
entropy associated with each Clebsch potential is a growing function of time,
and that it evolves at a slower rate than the rate of change in energy and
enstrophy, as predicted by theory. These results pave the way for an
alternative approach in the numerical study of fluid flows.
