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Evaluation of cubic-spline based Gas Kinetic Method for simulating compressible turbulence
Author(s): Nishant Parashar, Balaji Srinivasan, S. S. Sinha
Keywords: compressible flows, gas kinetic method, direct numerical simulation, decaying turbulence
In the last two decades, the gas kinetic method (GKM) has evolved as a viable method for simulating compressible turbulent flows. This is attributed to the ability of GKM to robustly capture discontinuities (shocks) in the flow field. However, this ability comes at a cost--production of unphysical excessive numerical dissipation. In this work, we implement and examine a new flow reconstruction methodology using cubic-splines for interpolations in GKM. We compare this version of GKM with the existing WENO based interpolation method. The comparisons are made in terms of accuracy and computational speed. We find that at low to intermediate range of Mach number (M_t < 0.7), cubic-splines based interpolations are superior in terms of reduced numerical dissipation and higher computational speed (7x faster) as compared to the WENO interpolation method.