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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 the derivation of the Lagrangian geometrical quantities, which represent the deformation of fluid particles in the motion, are described in detail. Extensive calculations were made to test the accuracy against the exact solution and the robustness of the Lagrangian RCM approach for real gas supersonic flows, including complex wave interactions of different types. The real gas effect is also presented by comparison with the perfect gas solution. The inherent parallelism in the Lagrangian approach lends a natural application in the massively parallel computation.