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

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.