Authors: Yuanding Wang; Xiaowei Cai; Xinjian Ma; Junjie Tan; Don Liu; Dengfeng Ren
Addresses: School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing, China; Shanghai Institute of Space Propulsion, Shanghai, China ' National Key Laboratory of Science and Technology on Hydrodynamic, China Ship Scientific Research Center, Wuxi, China ' Shanghai Space Propulsion Technology Research Institute, Shanghai, China ' School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing, China ' Mathematics and Statistics and Mechanical Engineering, Louisiana Tech University, Ruston, Louisiana, 71272, USA ' School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing, China
Abstract: The moving least square meshfree method is used to solve the Reynolds-averaged Navier-Stokes equations with two different turbulence models: the renormalisation group (RNG) k-ε model and the Wilcox k-ω model. The moving least square approach with clouds-of-points reconstruction, which can provide results from highly anisotropic clouds of points, is adopted to approximate the spatial derivatives. Both the subsonic and transonic viscous flows around RAE2822 airfoil are simulated. The pressure coefficients of the airfoil surface are calculated, the Mach number contours of the flow fields are presented, and the mean velocity profiles of the boundary layer at different locations are investigated. Some unsteady viscous flow simulation results are also presented. The simulation results show a good agreement with the experiment results and other numerical simulation results. Overall, the simulation results demonstrate that the proposed meshfree numerical algorithm is accurate and capable of modelling turbulence flows around airfoils.
Keywords: turbulence modelling; clouds-of-points reconstruction; COPR; moving least squares; Reynolds-averaged Navier-Stokes; RANS equations; meshfree simulation; flow simulation; airfoils; viscous flows; pressure coefficients; Mach number contours; mean velocity profiles; boundary layers.
Progress in Computational Fluid Dynamics, An International Journal, 2017 Vol.17 No.2, pp.75 - 89
Accepted: 05 Dec 2015
Published online: 23 Feb 2017 *