Applications of High Order Hybrid DG/FV Schemes for Two-dimensional RANS Simulations

Abstract A class of high order hybrid DG/FV schemes had been developed for conservation laws based on a “hybrid reconstruction” idea. In this paper, the hybrid DG/FV schemes are extended to solve 2D RANS equations on unstructured/hybrid grids. The BR2 approach is employed to discretize the viscous terms and the Spalart-Allmaras model is adopted in the RANS equations to simulate the turbulence effect. The costs of some DG and DG/FV schemes are analyzed. Turbulent flows over a flat plate and over 30P3N airfoil are simulated to validate the performance of the hybrid DG/FV schemes. The numerical tests show that the third order DG/FV(3) scheme obtains similar results with those form DGM(3), and can reduce the CPU cost greatly.