“…Various approaches for dealing with complex geometries have been developed for use with Cartesian meshes including immersed boundary methods, 5, 6, 7 cut cell approaches, 8,9,10 and overlapping dual mesh paradigms where a body fitted mesh is used in near-body regions and a Cartesian mesh is used in off-body regions. 3,4,11 The development of high-order accurate discretizations for computational aerodynamics has been pursued vigorously over the last decade and substantial advances have been demonstrated for continuous and discontinuous Galerkin (DG) methods. 12,13,14,15,16,17,18,19,20 However, the use of high-order methods for computational aerodynamics remains a research topic largely due to the poor robustness and large computational expense of these methods.…”