  In this paper, we propose a simple hybrid WENO scheme to increase
computational efficiency and decrease numerical dissipation. Based on the
characteristic-wise approach, the scheme switches the numerical flux of each
characteristic variables between that of WENO scheme and its optimal linear
scheme according to a discontinuity detector measuring the non-resolvability of
the linear scheme. A number of numerical examples computed with 5th-order WENO
scheme suggested that, while achieving very small numerical dissipation and
good robustness, the computational effort on WENO flux used in the hybrid
scheme is negligible.

Fluid Dynamics