Comparison of Turbulence Models for Flow Past NACA0015 Airfoil Using OpenFOAM

The open source code software, OpenFOAM, was applied for simulating flow past NACA0015 airfoil. Three economical turbulence models for aerospace applications were selected comprising Spalart-Allmaras model, Wilcox model and Menter SST model, respectively. The non-dimension y+ was used to analyze the near-wall flow. The C-type domain for airfoil simulation was considered for an appropriate dimension to protect the effect of boundary conditions. The zero pressure gradient problem of the pressure-velocity coupling was used an effective algorithm, SIMPLE, for solving. The central differencing, upwind differencing, and linear upwind differencing (LUD) scheme were used to solve the convection-diffusion equation of the flow past airfoil. The simulation results included lift coefficient (CL) and drag coefficient (CD) were obtained from this computational fluid dynamics (CFD) method. The turbulence models had been validated to the physical experiment. The wind tunnel was set up to test the flow past NACA0015 airfoil. The Reynolds number (Re) at 160,000 and 360,000 were controlled in order that the NACA0015 airfoil with the large range angle of attack from 0 to 20 degrees was immersed in the low wind speeds and turbulent flow. The suitable turbulence model was the Menter SST model which employed SIMPLE algorithm and LUD scheme for solving. These CFD results lower the stall angle of attack had the average errors of CL and CD with were less than 13.15% and 22.36%, respectively.

[1]  Hester Bijl,et al.  Bayesian estimates of parameter variability in the k-ε turbulence model , 2014, J. Comput. Phys..

[2]  Mohd. Farid Mohamed,et al.  Performance Evaluation of Four-Sided Square Wind Catchers with Different Geometries by Numerical Method , 2013 .

[3]  Xin Cai,et al.  Unsteady aerodynamics simulation of a full-scale horizontal axis wind turbine using CFD methodology , 2016 .

[4]  C. Cheong,et al.  Inflow broadband noise from an isolated symmetric airfoil interacting with incident turbulence , 2015 .

[5]  Jaromír Horácek,et al.  Numerical simulation of aeroelastic response of an airfoil in flow with laminar-turbulence transition , 2015, Appl. Math. Comput..

[6]  Haozheng Yan,et al.  Modification of k-ω turbulence model for predicting airfoil aerodynamic performance , 2015 .

[7]  Stefano Mauro,et al.  Wind turbine CFD modeling using a correlation-based transitional model , 2013 .

[8]  Hans-Jürgen Hoehnke,et al.  Algebraic Models I , 1974, MFCS.

[9]  J. Gordon Leishman,et al.  Aerodynamics of Horizontal Axis Wind Turbines , 2011 .

[10]  Yonghui Xie,et al.  Effects of near-wall grid spacing on SST-K-ω model using NREL Phase VI horizontal axis wind turbine , 2012 .

[11]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[12]  Hamdy A. Kandil,et al.  Aerodynamic analysis of different wind-turbine-blade profiles using finite-volume method , 2012 .

[13]  B. Launder,et al.  Progress in the development of a Reynolds-stress turbulence closure , 1975, Journal of Fluid Mechanics.

[14]  Frank Thiele,et al.  Assessment of explicit algebraic Reynolds-stress turbulence models in aerodynamic computations , 2005 .

[15]  J. Borggaard,et al.  Application of a sensitivity equation method to the k–ε model of turbulence , 2007 .

[16]  V. Bianco,et al.  A comparison of the application of RSM and LES turbulence models in the numerical simulation of thermal and flow patterns in a double-circuit Ranque-Hilsch vortex tube , 2016 .

[17]  Jurjen A. Battjes,et al.  Implementation of boundary conditions for locked waves , 2001 .

[18]  Chi Jeng Bai,et al.  Aerodynamic design and analysis of a 10 kW horizontal-axis wind turbine for Tainan, Taiwan , 2016, Clean Technologies and Environmental Policy.

[19]  Paul G. Tucker,et al.  Turbulence and Its Modelling , 2014 .

[20]  G. Ahmadi,et al.  A rate-dependent algebraic stress model for turbulence , 1991 .

[21]  Adrian Ilinca,et al.  Aerodynamic performance analysis of slotted airfoils for application to wind turbine blades , 2016 .

[22]  F. Menter ZONAL TWO EQUATION k-w TURBULENCE MODELS FOR AERODYNAMIC FLOWS , 1993 .