A survey of modelling methods for high-fidelity wind farm simulations using large eddy simulation

Large eddy simulations (LES) of wind farms have the capability to provide valuable and detailed information about the dynamics of wind turbine wakes. For this reason, their use within the wind energy research community is on the rise, spurring the development of new models and methods. This review surveys the most common schemes available to model the rotor, atmospheric conditions and terrain effects within current state-of-the-art LES codes, of which an overview is provided. A summary of the experimental research data available for validation of LES codes within the context of single and multiple wake situations is also supplied. Some typical results for wind turbine and wind farm flows are presented to illustrate best practices for carrying out high-fidelity LES of wind farms under various atmospheric and terrain conditions. This article is part of the themed issue ‘Wind energy in complex terrains’.

[1]  J. Hämäläinen,et al.  Large Eddy Simulation of Boundary-Layer Flows over Two-Dimensional Hills , 2014 .

[2]  G. Powers,et al.  A Description of the Advanced Research WRF Version 3 , 2008 .

[3]  Wen Zhong Shen,et al.  The Actuator Surface Model: A New Navier-Stokes Based Model for Rotor Computations , 2009 .

[4]  Jens Nørkær Sørensen,et al.  A MODEL FOR UNSTEADY ROTOR AERODYNAMICS , 1995 .

[5]  Nigel Wood,et al.  Wind Flow Over Complex Terrain: A Historical Perspective and the Prospect for Large-Eddy Modelling , 2000, Boundary-Layer Meteorology.

[6]  Stefan Ivanell,et al.  Comparative CFD study of the effect of the presence of downstream turbines on upstream ones using a rotational speed control system , 2014 .

[7]  E. S. Politis,et al.  Modelling and Measuring Flow and Wind Turbine Wakes in Large Wind Farms Offshore , 2009, Renewable Energy.

[8]  Hao Lu,et al.  Interaction between large wind farms and the atmospheric boundary layer , 2014 .

[9]  Per-Åge Krogstad,et al.  An experimental and numerical study of the performance of a model turbine , 2012 .

[10]  Jens Nørkær Sørensen,et al.  Airfoil data sensitivity analysis for actuator disc simulations used in wind turbine applications , 2014 .

[11]  J. Lundquist,et al.  Simulating effects of a wind‐turbine array using LES and RANS , 2016 .

[12]  K. Nilsson Numerical computations of wind turbine wakes and wake interaction , 2012 .

[13]  Jens Nørkær Sørensen,et al.  Experimental investigation of the wake behind a model of wind turbine in a water flume , 2014 .

[14]  Sven Schmitz,et al.  Guidelines for Volume Force Distributions Within Actuator Line Modeling of Wind Turbines on Large-Eddy Simulation-Type Grids , 2014 .

[15]  Asu,et al.  Large-Eddy Simulation of Stably Stratified Atmospheric Boundary Layer Turbulence: A Scale-Dependent Dynamic Modeling Approach , 2008 .

[16]  C. Peskin The immersed boundary method , 2002, Acta Numerica.

[17]  S. Pope Turbulent Flows: FUNDAMENTALS , 2000 .

[18]  R. Verzicco,et al.  Combined Immersed Boundary/Large-Eddy-Simulations of Incompressible Three Dimensional Complex Flows , 2006 .

[19]  Francesco Castellani,et al.  IEA-Task 31 WAKEBENCH: Towards a protocol for wind farm flow model evaluation. Part 2: Wind farm wake models , 2014 .

[20]  Fernando Porté-Agel,et al.  Influence of atmospheric stability on wind-turbine wakes: A large-eddy simulation study , 2014 .

[21]  L. J. Vermeera,et al.  Wind turbine wake aerodynamics , 2003 .

[22]  Stefan Ivanell,et al.  Wake downstream of the Lillgrund wind farm - A Comparison between LES using the actuator disc method and a Wind farm Parametrization in WRF , 2015 .

[23]  G. Larsen,et al.  Full scale measurements of wind turbine wake turbulence , 2010 .

[24]  Kurt Schaldemose Hansen,et al.  Synthetic atmospheric turbulence and wind shear in large eddy simulations of wind turbine wakes , 2014 .

[25]  F. Coton,et al.  A study on rotational effects and different stall delay models using a prescribed wake vortex scheme and NREL phase VI experiment data , 2008 .

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

[27]  F. Sotiropoulos,et al.  Effects of a three-dimensional hill on the wake characteristics of a model wind turbine , 2014 .

[28]  Davide Astolfi,et al.  Analysing wind farm efficiency on complex terrains , 2014 .

[29]  Charles Meneveau,et al.  Scale dependence of subgrid-scale model coefficients: An a priori study , 2008 .

[30]  C. Meneveau,et al.  Role of subgrid-scale modeling in large eddy simulation of wind turbine wake interactions , 2015 .

[31]  Sasan Sarmast,et al.  Numerical study on instability and interaction of wind turbine wakes , 2013 .

[32]  Jens Nørkær Sørensen,et al.  Modelling and analysis of the flow field around a coned rotor , 2001 .

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

[34]  J. van Beeck,et al.  Roughness Effects on Wind-Turbine Wake Dynamics in a Boundary-Layer Wind Tunnel , 2015, Boundary-Layer Meteorology.

[35]  A. Segalini,et al.  A spectral model for stably stratified turbulence , 2015, Journal of Fluid Mechanics.

[36]  J. Sørensen,et al.  Determination of Wind Turbine Near-Wake Length Based on Stability Analysis , 2014 .

[37]  Lars Davidson,et al.  Large-Eddy Simulation Study of Thermally Stratified Canopy Flow , 2015, Boundary-Layer Meteorology.

[38]  W. Haans,et al.  Wind turbine aerodynamics in yaw: unravelling the measured rotor wake , 2011 .

[39]  N. Troldborg,et al.  A simple atmospheric boundary layer model applied to large eddy simulations of wind turbine wakes , 2014 .

[40]  Rebecca J. Barthelmie,et al.  Evaluation of wind farm efficiency and wind turbine wakes at the Nysted offshore wind farm , 2010 .

[41]  Leo E. Jensen,et al.  The impact of turbulence intensity and atmospheric stability on power deficits due to wind turbine wakes at Horns Rev wind farm , 2010 .

[42]  Hester Bijl,et al.  Large Eddy Simulation of wind farm aerodynamics : a review , 2014 .

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

[44]  Stefan Kern,et al.  Large Eddy Simulation of Wind Turbine Wakes , 2013 .

[45]  Annette Westerhellweg,et al.  Wake Measurements at alpha ventus – Dependency on Stability and Turbulence Intensity , 2014 .

[46]  B. Koren,et al.  Review of computational fluid dynamics for wind turbine wake aerodynamics , 2011 .

[47]  J. Mann Wind field simulation , 1998 .

[48]  Gunner Chr. Larsen,et al.  ENDOW (efficient development of offshore wind farms): modelling wake and boundary layer interactions , 2004 .

[49]  Christian Masson,et al.  Application of the actuator surface concept to wind turbine rotor aerodynamics , 2009 .

[50]  Kurt Schaldemose Hansen,et al.  Simulation of wake effects between two wind farms , 2015 .

[51]  Xiaolei Yang,et al.  Large‐eddy simulation of turbulent flow past wind turbines/farms: the Virtual Wind Simulator (VWiS) , 2015 .

[52]  Karl Stol,et al.  Large eddy simulation of dynamically controlled wind turbines in an offshore environment , 2013 .

[53]  Kurt Schaldemose Hansen Benchmarking of Lillgrund offshore wind farm scale wake models , 2014 .

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

[55]  Ylva Odemark Wakes behind wind turbines - Studies on tip vortex evolution and stability , 2012 .

[56]  Xuhui He,et al.  LES study of turbulent flow fields over a smooth 3-D hill and a smooth 2-D ridge , 2016 .

[57]  J. Sørensen General Momentum Theory for Horizontal Axis Wind Turbines , 2015 .

[58]  Charles Meneveau,et al.  A concurrent precursor inflow method for Large Eddy Simulations and applications to finite length wind farms , 2014, 1405.0980.

[59]  Fernando Porté-Agel,et al.  Wind-Turbine Wakes in a Convective Boundary Layer: A Wind-Tunnel Study , 2013, Boundary-Layer Meteorology.

[60]  J. Mann The spatial structure of neutral atmospheric surface-layer turbulence , 1994, Journal of Fluid Mechanics.

[61]  A. Chougule Infulence of atmospheric stability on the spatial structure of turbulence , 2013 .

[62]  Fernando Porté-Agel,et al.  Dynamic subgrid‐scale models for momentum and scalar fluxes in large‐eddy simulations of neutrally stratified atmospheric boundary layers over heterogeneous terrain , 2006 .

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

[64]  H. Madsen A CFD analysis of the actuator disc flow compared with momentum theory results , 1997 .

[65]  Tonio Sant,et al.  Improving BEM-based Aerodynamic Models in Wind Turbine Design Codes , 2007 .

[66]  F. Porté-Agel,et al.  Turbulent flow and scalar transport through and over aligned and staggered wind farms , 2012 .

[67]  Gunner Chr. Larsen,et al.  A Simple Wake Calculation Procedure , 1988 .

[68]  Harish Gopalan,et al.  A coupled mesoscale–microscale framework for wind resource estimation and farm aerodynamics , 2014 .

[69]  Yves Brunet,et al.  Large‐eddy simulation of turbulent flow over a forested hill: Validation and coherent structure identification , 2008 .

[70]  H. Jørgensen,et al.  The Bolund Experiment, Part I: Flow Over a Steep, Three-Dimensional Hill , 2011 .

[71]  P. Taylor,et al.  The Askervein Hill project: Overview and background data , 1987 .

[72]  Robert Flemming Mikkelsen,et al.  Large-eddy simulations of the Lillgrund wind farm , 2013 .

[73]  F. Porté-Agel,et al.  A new analytical model for wind-turbine wakes , 2013 .

[74]  Fernando Porté-Agel,et al.  Turbulent Flow Inside and Above a Wind Farm: A Wind-Tunnel Study , 2011 .

[75]  J. Schepers,et al.  Wake Measurements in ECN's Scaled Wind Farm , 2014 .

[76]  Fernando Porté-Agel,et al.  Wake flow in a wind farm during a diurnal cycle , 2016 .

[77]  Stefan Ivanell,et al.  Quantifying variability of Large Eddy Simulations of very large wind farms , 2015 .

[78]  S. Menon,et al.  Large-eddy simulation of pulsed high-speed subsonic jets in a turbulent crossflow , 2012 .

[79]  Per-Åge Krogstad,et al.  “Blind test” calculations of the performance and wake development for a model wind turbine , 2013 .

[80]  Pierangelo Masarati,et al.  Application and validation of incrementally complex models for wind turbine aerodynamics, isolated wind turbine in uniform inflow conditions , 2015 .

[81]  Fernando Porté-Agel,et al.  Volumetric Lidar Scanning of Wind Turbine Wakes under Convective and Neutral Atmospheric Stability Regimes , 2014 .

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

[83]  N. Jensen A note on wind generator interaction , 1983 .

[84]  Johan Meyers,et al.  Optimal turbine spacing in fully developed wind farm boundary layers , 2012 .

[85]  J. Brasseur,et al.  Designing large-eddy simulation of the turbulent boundary layer to capture law-of-the-wall scalinga) , 2010 .

[86]  Martin Kühn,et al.  The impact of stable atmospheric boundary layers on wind-turbine wakes within offshore wind farms , 2015 .

[87]  S. Basu,et al.  Large-eddy simulation of stably stratified atmospheric boundary layer turbulence: A scale-dependent dynamic modeling approach , 2005, physics/0502134.

[88]  J. Sørensen,et al.  Analysis of wake states by a full‐field actuator disc model , 1998 .

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

[90]  Stefan Ivanell,et al.  Study of the influence of imposed turbulence on the asymptotic wake deficit in a very long line of wind turbines , 2014 .

[91]  Charles Meneveau,et al.  Large eddy simulation studies of the effects of alignment and wind farm length , 2014, 1405.0983.

[92]  Lars Sætran,et al.  Wind turbine wake interactions; results from blind tests , 2015 .

[93]  J. Smith,et al.  Nested Mesoscale Large-Eddy Simulations with WRF: Performance in Real Test Cases , 2012 .

[94]  Stefano Leonardi,et al.  Large eddy simulations of the flow past wind turbines: actuator line and disk modeling , 2015 .

[95]  Charles Meneveau,et al.  Effect of turbine alignment on the average power output of wind-farms , 2013 .

[96]  N. N. Sørensen,et al.  The Bolund Experiment, Part II: Blind Comparison of Microscale Flow Models , 2011 .

[97]  Harwell,et al.  Wake measurements on the Nibe wind turbines in Denmark , 1990 .

[98]  Charles Meneveau,et al.  A scale-dependent Lagrangian dynamic model for large eddy simulation of complex turbulent flows , 2005 .

[99]  Torben J. Larsen,et al.  Aeroelastic effects of large blade deflections for wind turbines , 2004 .

[100]  C. Meneveau,et al.  Large Eddy Simulations of large wind-turbine arrays in the atmospheric boundary layer , 2010 .

[101]  Shuyang Cao,et al.  LES Study of Turbulent Boundary Layer Over a Smooth and a Rough 2D Hill Model , 2007 .

[102]  E. Migoya,et al.  Large-eddy simulation of spectral coherence in a wind turbine wake , 2008 .

[103]  Cristina L. Archer,et al.  Self‐similarity and turbulence characteristics of wind turbine wakes via large‐eddy simulation , 2015 .

[105]  Ulrich Schumann,et al.  Large-eddy simulation of turbulent flow above and within a forest , 1992 .

[106]  Luca Caracoglia,et al.  Development of a reduced-order model for wind turbine response to atmospheric turbulence in forest regions , 2014 .

[107]  F. Porté-Agel,et al.  Large-Eddy Simulation of Stably-Stratified Flow Over a Steep Hill , 2011 .

[108]  Gunner Chr. Larsen,et al.  Validation of the dynamic wake meander model for loads and power production in the Egmond aan Zee wind farm , 2013 .

[109]  Gunner Chr. Larsen,et al.  An experimental and numerical study of the atmospheric stability impact on wind turbine wakes , 2016 .

[110]  N. Troldborg,et al.  Investigation of wake interaction using full-scale lidar measurements and large eddy simulation: Investigation of wake interaction using full-scale lidar measurements and LES , 2016 .

[111]  U. Blahak,et al.  Evaluation of a wind‐farm parametrization in a regional climate model using large eddy simulations , 2016 .

[112]  M. Parlange,et al.  Large eddy simulation study of scalar transport in fully developed wind-turbine array boundary layers , 2011 .

[113]  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 .

[114]  E. S. Politis,et al.  Modeling wake effects in large wind farms in complex terrain: the problem, the methods and the issues , 2012 .

[115]  Charles Meneveau,et al.  Interaction Between a Wind Turbine Array and a Turbulent Boundary Layer , 2010 .

[116]  Chang Xu,et al.  Wind turbine wake measurement in complex terrain , 2016 .

[117]  Richard J.A.M. Stevens,et al.  Dependence of optimal wind turbine spacing on wind farm length , 2016, 1707.01808.

[118]  Torben Mikkelsen,et al.  Using High-Fidelity Computational Fluid Dynamics to Help Design a Wind Turbine Wake Measurement Experiment , 2016 .

[119]  Johan Meyers,et al.  Wake structure in actuator disk models of wind turbines in yaw under uniform inflow conditions , 2016 .

[120]  Detlev Heinemann,et al.  High-Resolution Offshore Wake Simulations with the LES Model PALM , 2014 .

[121]  G. Larsen,et al.  Light detection and ranging measurements of wake dynamics part I: one‐dimensional scanning , 2010 .

[122]  Jens Nørkær Sørensen,et al.  Actuator Line Simulation of Wake of Wind Turbine Operating in Turbulent Inflow , 2007 .

[123]  J. Mohd-Yusof Development of immersed boundary methods for complex geometries , 1999 .

[124]  J. Sørensen,et al.  Large-eddy simulation of atmospheric flow over complex terrain , 2007 .

[125]  Fernando Porté-Agel,et al.  A new wind-farm parameterization for large-scale atmospheric models , 2015 .

[126]  The influence on energy conversion and induction from large blade deflections , 1999 .

[127]  J. Michalakes,et al.  A numerical study of the effects of atmospheric and wake turbulence on wind turbine dynamics , 2012 .

[128]  J. Sørensen,et al.  Mutual inductance instability of the tip vortices behind a wind turbine , 2014, Journal of Fluid Mechanics.

[129]  Jeff Mirocha,et al.  Large eddy simulation of wind turbine wake dynamics in the stable boundary layer using the Weather Research and Forecasting Model , 2014 .

[130]  J. Sørensen,et al.  Unsteady actuator disc model for horizontal axis wind turbines , 1992 .

[131]  Huawei Niu,et al.  LES study on the turbulent flow fields over complex terrain covered by vegetation canopy , 2016 .

[132]  V. Vuorinen,et al.  Large-eddy simulation in a complex hill terrain enabled by a compact fractional step OpenFOAM® solver , 2015, Adv. Eng. Softw..

[133]  Chad W. Higgins,et al.  Flow over Hills: A Large-Eddy Simulation of the Bolund Case , 2013, Boundary-Layer Meteorology.

[134]  F. Porté-Agel,et al.  Large-Eddy Simulation of Wind-Turbine Wakes: Evaluation of Turbine Parametrisations , 2011 .

[135]  J. Cleijne Results of Sexbierum Wind Farm: double wake measurements , 1992 .

[136]  F. Porté-Agel,et al.  A scale-dependent dynamic model for large-eddy simulation: application to a neutral atmospheric boundary layer , 2000, Journal of Fluid Mechanics.

[137]  Davide Medici,et al.  Experimental studies of wind turbine wakes : power optimisation and meandering , 2005 .

[138]  Marc B. Parlange,et al.  Perturbations to the Spatial and Temporal Characteristics of the Diurnally-Varying Atmospheric Boundary Layer Due to an Extensive Wind Farm , 2017, Boundary-Layer Meteorology.

[139]  Lance Manuel,et al.  Large-eddy simulation of stable boundary layer turbulence and estimation of associated wind turbine loads , 2014 .

[140]  F. Porté-Agel,et al.  Effects of Thermal Stability and Incoming Boundary-Layer Flow Characteristics on Wind-Turbine Wakes: A Wind-Tunnel Study , 2010 .

[141]  Johan Meyers,et al.  Optimal Coordinated Control of Power Extraction in LES of a Wind Farm with Entrance Effects , 2016 .

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

[143]  Kenneth J. Davis,et al.  The influence of a forest canopy on top‐down and bottom‐up diffusion in the planetary boundary layer , 2003 .

[144]  Christian Masson,et al.  An Aerodynamic Method for the Analysis of Isolated Horizontal-Axis Wind Turbines , 1997 .

[145]  N. Troldborg Actuator Line Modeling of Wind Turbine Wakes , 2009 .

[146]  Stefan Ivanell,et al.  Numerical computations of wind turbine wakes , 2007 .

[147]  Dan S. Henningson,et al.  NONLINEAR RECEPTIVITY TO OBLIQUE VORTICAL MODES IN FLOW PAST AN ELLIPTIC LEADING EDGE , 2012, Proceeding of Seventh International Symposium on Turbulence and Shear Flow Phenomena.

[148]  J. Jonkman,et al.  Definition of a 5-MW Reference Wind Turbine for Offshore System Development , 2009 .

[149]  Jens Nørkær Sørensen,et al.  Simulation and Prediction of Wakes and Wake Interaction in Wind Farms , 2014 .

[150]  Fernando Porté-Agel,et al.  Evaluation of dynamic subgrid-scale models in large-eddy simulations of neutral turbulent flow over a two-dimensional sinusoidal hill , 2007 .

[151]  Stefano Leonardi,et al.  A large-eddy simulation of wind-plant aerodynamics , 2012 .

[152]  Siegfried Raasch,et al.  The Parallelized Large-Eddy Simulation Model (PALM) version 4.0 for atmospheric and oceanic flows: model formulation, recent developments, and future perspectives , 2015 .

[153]  Shuhong Huang,et al.  Review of aeroelasticity for wind turbine: Current status, research focus and future perspectives , 2011 .