Immersed Boundary Lattice Green Function methods for External Aerodynamics

In this paper, we document the capabilities of a novel numerical approach — the immersed boundary lattice Green's function (IBLGF) method — to simulate external incompressible flows over complex geometries. This new approach is built upon the immersed boundary method and lattice Green's functions to solve the incompressible Navier-Stokes equations. We show that the combination of these two concepts allows the construction of an efficient and robust numerical framework for the direct numerical and large-eddy simulation of external aerodynamic problems at moderate to high-Reynolds numbers.