An immersed boundary method for aeroacoustic flow using a high-order finite difference method

An immersed boundary method that achieves second order accuracy in space on acoustic reflection problems is introduced and tested on a number of aero-acoustic related problems. ~The method follows a continuous forcing approach and uses existing solver operators to smoothly extend the flow solution though the immersed boundary. ~Both no-slip and free-slip boundary conditions are demonstrated on complex geometries using a high-order finite difference code on a Cartesian grid. ~High Mach number test problems are also shown, demonstrating the method's robustness in the presence of shock waves.