High resolution discontinuous Galerkin (DG) discretization is used for RANS modeling of the complex shock dominated flow generated by gas issuing from a shock tube nozzle. The DG finite element discretization framework is used for both the flow modeling and the turbulence transport. Implicit time marching methodologies are used to enable large time-steps by avoiding the severe time-step limitations imposed by the DG discretization. Turbulent flow in the near wall regions and the flow field is modeled by the Spalart- Allmaras one-equation model. A p-type refinement procedure is employed to accurately represent the vortical structures generated during the development of the flow. The computed solutions showed qualitative agreement with experiments. Investigation of the effect of rotation on the turbulence modeling for shock dominated supersonic flows is vital for accurate resolution the large coherent and vortical structures in high-speed combustion and supersonic flow research.
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