  We propose a class of essentially non-oscillatory schemes with adaptive order
(ENO-AO) for solving hyperbolic conservation laws. The new schemes select
candidate stencils by novel smoothness indicators which are the measurements of
the minimum discrepancy between the reconstructed polynomials and the
neighboring cell averages. The new smoothness indicators measure the smoothness
of candidate stencils with unequal sizes in a uniform way, so that we can
directly use them to select the optimal stencil from candidates that range from
first-order all the way up to the designed high-order. Some benchmark test
cases are carried out to demonstrate the accuracy and robustness of the
proposed schemes.
