**Why is the WENO scheme
Important? **

ENO
and WENO schemes are designed for problems with
piecewise smooth solutions containing discontinuities.
The key idea lies at the approximation level, where a
nonlinear adaptive procedure is used to automatically
choose the locally smoothest stencil, hence avoiding
crossing discontinuities in the interpolation procedure
as much as possible. ENO and WENO schemes have been
quite successful in applications, especially for
problems containing both shocks and complicated smooth
solution structures, such as compressible turbulence simulations
and aeroacoustics.