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

A sharp -interface immersed boundary (IB) solver for the three-dimensional compressible NavierStokes 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 leastsquares 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. Thirdorder 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.