Comparison of two LES codes for wind turbine wake studies

For the third time a blind test comparison in Norway 2013, was conducted comparing numerical simulations for the rotor Cp and Ct and wake profiles with the experimental results. As the only large eddy simulation study among participants, results of the Technical University of Denmark (DTU) using their in-house CFD solver, EllipSys3D, proved to be more reliable among the other models for capturing the wake profiles and the turbulence intensities downstream the turbine. It was therefore remarked in the workshop to investigate other LES codes to compare their performance with EllipSys3D. The aim of this paper is to investigate on two CFD solvers, the DTU's in-house code, EllipSys3D and the open-sourse toolbox, OpenFoam, for a set of actuator line based LES computations. Two types of simulations are performed: the wake behind a signle rotor and the wake behind a cluster of three inline rotors. Results are compared in terms of velocity deficit, turbulence kinetic energy and eddy viscosity. It is seen that both codes predict similar near-wake flow structures with the exception of OpenFoam's simulations without the subgrid-scale model. The differences begin to increase with increasing the distance from the upstream rotor. From the single rotor simulations, EllipSys3D is found to predict a slower wake recovery in the case of uniform laminar flow. From the 3-rotor computations, it is seen that the difference between the codes is smaller as the disturbance created by the downstream rotors causes break down of the wake structures and more homogenuous flow structures. It is finally observed that OpenFoam computations are more sensitive to the SGS models.

[1]  Jan Michael Simon Bartl,et al.  Wake Measurements Behind an Array of Two Model Wind Turbines , 2012 .

[2]  A. Crespo,et al.  Advances in large-eddy simulation of a wind turbine wake , 2007 .

[3]  R. Flemming,et al.  Actuator Disc Methods Applied to Wind Turbines , 2016 .

[4]  Stefan Ivanell,et al.  Analysis of numerically generated wake structures , 2009 .

[5]  John Kim,et al.  DIRECT NUMERICAL SIMULATION OF TURBULENT CHANNEL FLOWS UP TO RE=590 , 1999 .

[6]  Jens Nørkær Sørensen,et al.  Analysis of Power Enhancement for a Row of Wind Turbines Using the Actuator Line Technique , 2007 .

[7]  P. Sweby High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws , 1984 .

[8]  Frank Baetke,et al.  Numerical simulation of turbulent flow over surface-mounted obstacles with sharp edges and corners , 1990 .

[9]  Rebecca J. Barthelmie,et al.  Analytical modelling of wind speed deficit in large offshore wind farms , 2006 .

[10]  Fernando Porté-Agel,et al.  Large-eddy simulation of atmospheric boundary layer flow through wind turbines and wind farms , 2011 .

[11]  Hrvoje Jasak,et al.  Error analysis and estimation for the finite volume method with applications to fluid flows , 1996 .

[12]  Niels N. Sørensen,et al.  General purpose flow solver applied to flow over hills , 1995 .

[13]  Hamid Sarlak Chivaee Large Eddy Simulation of Turbulent Flows in Wind Energy , 2014 .

[14]  Jens Nørkær Sørensen,et al.  Numerical Modeling of Wind Turbine Wakes , 2002 .

[15]  J. Sørensen Aerodynamic Aspects of Wind Energy Conversion , 2011 .

[16]  F. Porté-Agel,et al.  Large-eddy simulation of a very large wind farm in a stable atmospheric boundary layer , 2011 .

[17]  Sang Lee,et al.  Adding complex terrain and stable atmospheric condition capability to the OpenFOAM-based flow solver of the simulator for on/offshore wind farm applications (SOWFA) , 2014 .

[18]  Jens Nørkær Sørensen,et al.  Quantifying the Impact of Subgrid Scale Models in Actuator-Line Based LES of Wind Turbine Wakes in Laminar and Turbulent Inflow , 2015 .

[19]  C. Meneveau,et al.  Large eddy simulation study of fully developed wind-turbine array boundary layers , 2010 .

[20]  Jens Nørkær Sørensen,et al.  Numerical simulations of wake characteristics of a wind turbine in uniform inflow , 2010 .

[21]  Pierre Sagaut Simulations numeriques d'ecoulements decolles avec des modeles de sous-maille , 1995 .