A LAGRANGIAN RANDOM CHOICE APPROACH FOR SUPERSONIC REAL-GAS FLOWS

This paper presents a random choice version of the Lagrangian approach for supersonic real gas flows, reported previously by Loh and Liou [J . Comput. Phsy., 104 (1993), pp. 150-161]. The exact real gas Riemann solution and the random choice method (RCM) are briefly reviewed and t he derivation of the Lagrangian geometrical quantities, which represen t the deformation of fluid particles in the motion, are described in d etail. Extensive calculations were made to test the accuracy against t he exact solution and the robustness of the Lagrangian RCM approach fo r real gas supersonic flows, including complex wave interactions of di fferent types. The real gas effect is also presented by comparison wit h the perfect gas solution. The inherent parallelism in the Lagrangian approach lends a natural application in the massively parallel comput ation.