WIND ENERGY
Wind Energ. (2012)
Published online in Wiley Online Library (wileyonlinelibrary.com). DOI: 10.1002/we.535
RESEARCH ARTICLE
Wind turbine performance in shear flow and in the
wake of another turbine through high fidelity
numerical simulations with moving mesh technique
Joseph Seydel and Alberto Aliseda
Department of Mechanical Engineering, University of Washington, Seattle, Washington, 98195-2600, USA
ABSTRACT
We present numerical simulations of two horizontal axis wind turbines, one operating under the wake of the other, under
an incoming sheared velocity profile. We use a moving mesh technique to represent the rotation of the turbine blades
and solve the unsteady Reynolds averaged Navier–Stokes equations with a shear stress transport k ! turbulence model.
Temporal evolution of the lift and drag coefficients of the front turbine show a phase shift in the periodic cycle due to
the non-uniform incoming free stream velocity. Comparisons of the lift and drag coefficients for the back turbine with the
unperturbed behaviour of the front demonstrate the complex non-linear interactions of the blades with the wake, with a sig-
nificant decrease in overall performance and two peaks at specific points in the cycle associated with local angle of attack
modification in the wake. The vorticity field in the near wake shows tilting of the vortex lines in the wake due to the shear
and a faster diffusion of the tip vortical signature compared with the uniform free stream velocity case. Observations of the
wake–wake interaction show good agreement with recent studies that use different methodologies. Copyright © 2012 John
Wiley & Sons, Ltd.
KEYWORDS
wind energy; turbulent wake; turbine–wake interaction; shear flow
Correspondence
Alberto Aliseda, Department of Mechanical Engineering, University of Washington, 4000 15th Ave NE Box 352600, Seattle,
Washington 98195-2600, USA.
E-mail: aaliseda@u.washington.edu
Received 11 November 2010; Revised 8 September 2011;Accepted 15 September 2011
1. INTRODUCTION
As energy consumption increases and non-renewable energy sources are depleted, the need for clean renewable energy
sources is continually increasing. Solar, wind, wave and tidal energy are all renewable sources that can contribute to the
overall reduction in dependence on non-renewable fossil fuels. Wind energy has emerged as one of the leading technolo-
gies in providing cost-effective non-polluting renewable energy. However, wind power is still relatively expensive compared
with non-renewable sources such as coal, despite reducing the cost per kWh by a factor of 10 over the past 20 years. More-
over, the widespread deployment of wind turbine farms is leading to an exhaustion of the prime sites, especially in small,
highly technologically advanced countries in Western Europe. To further reduce the cost of wind energy and improve its
availability as a non-polluting energy source, improvements in wind farm site optimization are necessary. Further under-
standing of the interactions between wind turbines and wakes from turbines located upwind from them is key to improving
the utilization of the wind resource and raising the efficiency of installed turbines. In the last 30 years of rapid development,
turbine designers have improved energy output by reaching higher into the atmospheric boundary layer and capturing more
consistent and higher speed winds. With the increased height has come increased weight. If blade design is scaled up to
maintain stiffness, blade weight increases with the blade length cubed, whereas the energy capture increases with the blade
length squared.
1
To make wind turbines that are economically viable, weight reductions are required. The drawback arises
from the combination of increased span and decreased weight resulting in turbines that are more dynamically active than
their predecessors. The dynamic response of operating wind turbines to inflow turbulence can lead to structural fatigue
and, ultimately, to failure. Inlet flow turbulence in wind turbines is most commonly generated by atmospheric phenomena
Copyright © 2012 John Wiley & Sons, Ltd.