Application and analysis of two k-ω type turbulence models in meshless method

In order to solve k-ω type turbulence model equations and Reynolds-averaged Navier-Stokes equations (RANS), cloud reconstruction technology, which can obtain well results from high aspect radio anisotropic cloud of points, is adopted in moving least squares meshless method. With the cloud reconstruction technique and the meshless method, it is realistic to simulate turbulence flows. The turbulence prediction abilities of the k-ω SST (Shear Stress Transport) and the k-ω TNT (Turbulent Non Turbulent) modes are demonstrated on a number of cases including NACA0012 airfoil, RAE2822 airfoil and backward-facing step. It can be found that: for weak advanced pressure gradient flows, the two models have the same ability for prediction; while in shock introduced separation turbulence flows, the SST model show better predicted ability of shock capture than TNT model; for large scale separation flows, there are some differences between the results of the two models and the experimental data, while the overall trends are in good agreement with the experimental data.