High accuracy flow simulations: Advances and challenges for future needs in aeronautics

Abstract Computational Fluid Dynamics (CFD) methods, as practical aeronautical tools, is used routinely to complement the wind tunnel in the design of aircraft [1,2], and therefore plays a crucial role in the industrial context for strengthening the competitiveness of the Research and Development (R & D) teams, by reducing developments costs and delay. The field of high-order methods has seen a surge of research activity over the last decade, particularly due to its potential in applications such as LES [30–34], DNS [35–37], Computational Aero-Acoustics (CAA) [38,39], turbulent combustion [40] and vortex dominated flows [41]. This paper presents the challenging issues of the high-order methods for the aeronautics community.