The paper presents an overview of the Edge-Based Reconstruction (EBR) Schemes for solving Euler equations on unstructured meshes and gives some recent examples of using these schemes for aviation-industry-oriented problems. The EBR schemes possess higher accuracy as compared with the traditional finite-volume second-order methods at lower costs as compared with the very high order algorithms. The higher accuracy is provided thanks to the quasi-1D reconstruction of variables on extended edge-oriented stencils on unstructured meshes so that in case of uniform grid-like meshes, the EBR schemes reduce to a high-order finite difference method. The lower costs result from the quasi-1D nature of these schemes. The EBR schemes have been extended to hybrid unstructured meshes and equipped with WENO-based shock-capturing techniques (so called WENO-EBR schemes). They have been implemented for interface regions of sliding meshes and are currently being adapted to prismatic boundary layers within the strand-mesh technology. The schemes are used for scale-resolving simulations of complex turbulent flows and associated acoustic fields. In the paper we show some recent numerical results. In particular, we simulate the aeroacoustics of turbulent subsonic (M=0.9) and hot under-expanded jets, turbulent flow over three-component airfoil (30P30N model), and some other problems. The work is supported by the Russian Foundation for Basic Research (Project 18-01-00445).
