Parametric Investigation of Low-dissipation Low-dispersion Schemes for Unstructured Flow Solvers in Large Eddy Simulation

A second-order low-dissipation low-dispersion scheme is evaluated for unstructured finite-volume flow solvers. The scheme exploits a higher order central reconstruction of the face fluxes and a matrix dissipation formulation to reduce the dispersive and dissipative numerical errors. The scheme is applied using the M-Edge CFD solver for compressible flows for low-speed scale-resolving simulations. The scheme is shown to be a significant improvement to a conventional central scheme used for RANS simulations by accurately predicting reference DNS data for the plane channel flow and experimental data for the decaying homogenous isotropic turbulence.