Large-Eddy Simulation of Transonic Buffet Using Matrix-Free Discontinuous Galerkin Method

We present an implicit large-eddy simulation of transonic buffet over the OAT15A supercritical airfoil at Mach number 0.73, angle attack 3.5 deg, and Reynolds . The is performed using a matrix-free discontinuous Galerkin (DG) method diagonally Runge–Kutta scheme on graphics processor units. propose Jacobian-free Newton–Krylov to solve nonlinear systems arising from discretization Navier–Stokes equations. successfully predicts onset, frequency, turbulence statistics owing high-order DG efficient mesh refinement for laminar turbulent boundary layers. A physical phenomena in experiment are captured our simulation, including periodical low-frequency oscillations shock wave streamwise direction, strong shear layer detached due shock-wave/boundary-layer interaction small-scale structures broken down by shear-layer instability transition region, shock-induced flow separation. pressure coefficient, root mean square fluctuating pressure, range oscillation agree well with experimental data. results suggest that proposed can accurately predict onset high numbers without subgrid scale model or wall model.