High-order numerical analysis of the effect of turbulent production terms on low-speed numerical simulation

Based on the Reynolds-averaged Navier-Stokes(RANS) equations and structured grid technology, the effect of different production terms of SST turbulence model on simulation results of low-speed problems is analyzed numerically with fifth-order weighted compact nonlinear scheme(WCNS). The main purpose of present work is to provide technical support for the application of high-order difference schemes in complex configurations. The studied models include low-speed NLR7301 two-element airfoil and Trap wing configuration, the research work contains the influence of different production terms of SST turbulence model on convergence history, the distribution of turbulent viscosity and velocity in boundary layer, pressure coefficients and aerodynamic characters. Compared with experimental data, the numerical results indicate that for low-speed two-dimensional flow, different production terms affect the convergence history obviously, whereas have little influence on turbulent viscosity and velocity distribution in boundary layer. For the low-speed two-dimensional flow, different production terms affect the suction in the leading edge ,which results in the variation of lift coefficient and pressure-drag coefficient. For low-speed three-dimensional flow, different production terms have little influence on the convergence history, whereas affect the numerical accuracy of the tip vortex obviously, and then, affect the pressure distribution on the span wing section near the wing tip and aerodynamic characters.