An unsteady Shock-fitting technique for unstructured grids

A novel, unstructured, shock-fitting algorithm capable of simulating steady flows has being further developed to make it capable of dealing with un-steady flows. The present paper discusses and analyses the early efforts made to extend to unsteady flows the existing algorithm. The properties of the unsteady version of this novel unstructured shock-fitting technique are tested by reference to a simple, but not trivial, test case that confirms that the proposed shock-fitting technique preserves second-order accuracy downstream of a moving shock wave.