New Shock Detector for Shock-Boundary Layer Interaction

Abstract

Standard compact scheme or upwind compact scheme have high order accuracy and high resolution, but cannot capture the shock which is a discontinuity. This work developed a modified compact scheme by an effective shock detector to block compact scheme to cross the shock, a control function, and an adaptive scheme which uses some WENO flux near the shock. The new scheme makes the original compact scheme able to capture the shock sharper than WENO and, more important, keep high order accuracy and high resolution in the smooth area which is particularly important for shock boundary layer interaction and shock acoustic interaction. The scheme is robust and has no case-related coefficients.