An adaptive unstructured explicit/implicit numerical technique for unsteady viscous flows with shock waves

The paper describes further improvement and generalization of a numerical approach proposed earlier by the authors for simulations of essentially unsteady shock wave interactions with bodies. The mathematical model is based on the Navier-Stokes equations. The most important ingredients of the method are specially tailored adaptive unstructured grids and an efficient combination of explicit and implicit time integration modes which are chosen to be best suited for underlying flow physics.