Localized Flux Limiting for Mixed Element Volume Scheme on Anisotropic Adapted Meshes

The goal of this work is to decrease the amount of numerical dissipation introduced by flux limiters in a Mixed Element Volume (MEV) scheme, that uses Monotonic Upstream-Centered Scheme for Conservation Laws (MUSCL) extrapolations and an approximated Riemann solver for the discretization of the convective part of the compressible Reynolds Averaged Navier-Stokes (RANS) equations. The computations are performed in the context of metric-based anisotropic mesh adaptation, making it essential to be both accurate and robust. The numerical approach consists in using the Larsson sensor in order to detect shocks and possibly other unstable regions of the solution, and employ the flux limiters locally in those regions. The strategy will be tested for different flow configurations, both transonic, where shocks are expected and need to be treated accordingly, and subsonic, where flux limiters should not be needed.