Development of an unsteady shock-fitting technique for unstructured grids

The shock-fitting technique for unstructured grids that the authors have been developing over the last few years has been successfully applied to two- and three-dimensional steady flows featuring interacting shocks; in the present paper it has been applied to unsteady flows characterised by changing shock topologies. In all applications tested so far, this new technique has shown huge potential benefits with respect to the shock-capturing approach and a reduced algorithmic complexity with respect to the shock-fitting techniques developed in the 1970s and 1980s within the structured grid framework.