Evolution of Disturbances in Entropy Layer on Blunted Plate in Supersonic Flow

Abstract

Linear and nonlinear stability analyses of the entropy layer over a blunted plate are discussed. Results of the linear stability theory are compared with the direct numerical solution of the Euler equations when a disturbance of prescribed frequency is imposed on the mean flow. A solver of the Euler equations based on the space-time conservation element/solution element method predicts linear and nonlinear dynamics of unstable disturbances with high accuracy. The nonlinear effect demonstrates a trend to saturation of the entropy-layer disturbances