An immersed-boundary method for 3D compressible viscous flows

This paper combines a state-of-the-art method for solving the preconditioned compressible Navier-Stokes equations accurately and effciently for a wide range of the Mach number with an immersed-boundary approach which allows to use Cartesian grids for arbitrarily complex geometries. The method is validated versus well documented test problems for a wide range of the Reynolds and Mach numbers and has been employed to compute the flow past a cylinder oscillating in the cross- flow direction, showing its capability to easily and accurately handle moving geometries. The method has been also extended to threedimensional flows and it has been validated versus subsonic and supersonic flows past a sphere. The numerical results demonstrate the effciency and versatility of the proposed approach as well as its accuracy, from incompressible to supersonic flow conditions, for moderate values of the Reynolds number