The present paper discusses the use of low diffusion fluxes and approximate Riemann solvers for the Reynolds-averaged Navier-Stokes equations with Reynolds-stress closure. A simple quasi-zero-pressure-gradient computational example shows that the use of contact-discontinuity-resolving convective numerical fluxes, along with a passive-scalar approach for the Reynolds-stresses, produces severe oscillations in the solution. The problem is traced to the fact that the Reynolds-stresses are not passive scalars. Using hybrid fluxes, combining low-diffusion fluxes for the meanflow equations with a more dissipative massflux for Reynolds-stress-transport is a first solution to the problem. The inclusion of the Reynolds-stresses should into the convective fluxes to develop an HLLC-RSM approximate Riemann solver is discussed.
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