A high-order sharp-interface immersed boundary solver for high-speed flows

Abstract

A sharp-interface immersed boundary (IB) solver for the three-dimensional compressible Navier-Stokes equations with shock discontinuities is presented. The IB method is based on high-order schemes and a ghost-cell method which uses Taylor polynomial interpolation and weighted least-squares error minimization to impose the boundary conditions on the immersed boundary. The results show that the method enables robust and accurate calculation of high-speed flow problems involving complex geometries, moving boundaries, and solid and membrane geometries. Third-order accuracy or higher is maintained even for supersonic conditions. The numerical framework is validated through several two-dimensional and three-dimensional benchmark problems at subsonic and supersonic speeds. Additionally, the method is demonstrated for airfoil dynamic stall and wing-store interaction investigations.