Comparison of high-order numerical methodologies for the simulation of the supersonic Taylor–Green vortex flow
Jean-Baptiste Chapelier, David J. Lusher, William van Noordt, Christoph Wenzel, Tobias Gibis, Pascal Mossier, Andrea Beck, Guido Lodato, Christoph Brehm, Matteo Ruggeri, Carlo Scalo, Neil D. Sandham
Abstract
This work presents a comparison of several high-order numerical methodologies for simulating shock/turbulence interactions based on the supersonic Taylor–Green vortex flow, considering a Reynolds number of 1600 and a Mach number of 1.25. The numerical schemes considered include high-order Finite Difference, Targeted Essentially Non-Oscillatory, Discontinuous Galerkin, and Spectral Difference schemes. The shock capturing methods include high-order filtering, localized artificial diffusivity, non-oscillatory numerical fluxes, and local low-order switching. The ability of the various high-order numerical methodologies to both capture shocks and represent accurately the development of turbulent vortices is assessed.