“…Despite the growing interest towards high-order methods for computational fluid dynamics (CFD) (Slotnick et al, 2014;Wang et al, 2013;Huynh et al, 2014;Abgrall and Ricchiuto, 2017), finite volume (FV) approaches still represent the de facto standard in the simulation of industrial flows, aerodynamics, heat and mass transfer problems (Chalot, 2017). Such a success, stemming from the inherent conservation properties of these techniques, their suitability for a wide range of flow regimes and their efficiency in simulating large-scale engineering systems, is testified by their widespread implementation in commercial, industrial and open-source software, including Ansys Fluent (ANSYS, 2017), OpenFOAM (Jasak, 2009), SU2 (Economon et al, 2016), NASA CFL3D (Bartels et al, 2006), NASA FUN3D (Biedron et al, 2019), FLITE (Morgan et al, 1991;Sørensen et al, 2003aSørensen et al, , 2003band TAU (Gerhold, 2005), just to name a few.…”