On the flux-difference splitting method in multidimensional unsteady flows

The 'flux-difference splitting' method represents a promising tool for the numerical prediction of unsteady flows described by the Euler equations. It is based upon the solution of a Riemann problem and has been investigated successfully for 1-D flows. Going to multidimensional flows it is not anymore clear which Riemann problems should be selected to provide proper splittings. Suggestions for such a selection can be prompted by the 'lambda-formulation' in the case of a system of linear equations. Numerical results confined to the first-order scheme are presented for flows with strong shocks not aligned with the grid coordinates.