Non-uniqueness and multi-shock solutions for transonic nozzle flows

^** Email: david.h.smith{at}csiro.au Non-uniqueness for steady inviscid nozzle flows with supersonicinlet and subsonic exit conditions is studied via pseudo-arclengthcontinuation coupled to the discrete flow equations. An interplaybetween geometry, boundary conditions and bifurcation behaviouris examined, including solutions with one or two shocks.