A reduced-dissipation WENO scheme with automatic dissipation adjustment

In this paper, we propose a novel modification to the WENO-family schemes reduce its intrinsic dissipation. work, focus on WENO5 scheme, which is rewritten in terms of central plus dissipative part, and then, dissipation controlled based flow physics. This achieved by using automatic adjustment (ADA) method an posteriori approach. methodology allows us greatly increase accuracy original scheme at same time ensure robustness numerical method. The proposed are tested several selected benchmarks.