The purpose of the present paper is to investigate the influence of space- and time-discretization on hybrid Reynolds-Stress-Model Very-Large-Eddy-Simulation (RSM-VLES) computations. Space-discretization uses high-order upwind-biased primitive-variables-reconstruction for the convec-tive fluxes, combined with an hybrid HLLC-h approximate Riemann solver. Time-integration uses implicit O[At2} backward-differences, with dual-time-stepping subiterations. The number of subiterations is chosen dynamically, on the basis of an increment-convergence-tolerance criterion. The methodology is applied to the computation of a circular rod with an airfoil placed in the wake of the rod. Various grids, physical-time-steps, and increment-convergence-tolerances are studied and compared with available experimental measurements, for a PANS-type closure for the unresolved stresses. The possibility of computing dynamically the ratio of unresolved to total turbulence-kinetic-energy, and using it in the transport-equations, is assessed.
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