ON INTERACTIONS BETWEEN WIND TURBINES AND THE MARINE BOUNDARY
LAYER
M. Salman Siddiqui
∗
Department of Mathematical Sciences
NTNU
Alfred Getz vei 1
7491, Trondheim, Norway
Email: muhammad.siddiqui@math.ntnu.no
Adil Rasheed
CSE Group
Mathematics and Cybernetics
Sintef Digital
7034, Trondheim, Norway
Email: adil.rasheed@sintef.no
Mandar Tabib
CSE Group
Mathematics and Cybernetics
Sintef Digital
7034, Trondheim, Norway
Email: mandar.tabib@sintef.no
Eivind Fonn
CSE Group
Mathematics and Cybernetics
Sintef Digital
7034, Trondheim, Norway
Email: eivind.fonn@sintef.no
Trond Kvamsdal
Department of Mathematical Sciences
NTNU
Alfred Getz vei 1
7491, Trondheim, Norway
Email: trond.kvamsdal@math.ntnu.no
ABSTRACT
Most mesoscale models are developed with grid resolution
in the range of kilometers. Therefore, they may require spatial
averaging to analyze flow behavior over the domain of interest.
In doing so, certain important features of sub-grid scales are
lost. Moreover, spatial averaging on the governing equations
results in additional terms known as dispersive fluxes. These
fluxes are ignored in the analysis. The aim of this paper is to
identify the significance of these fluxes for accurate assessment
of flow fields related to wind farm applications. The research
objectives are hence twofold: 1) to quantify the impact of wind
turbines on MBL characteristics. 2) to account for the magni-
tude of dispersive fluxes arising from spatial averaging and make
a comparison against the turbulent flux values. To conduct the
numerical study the NREL 5MW reference wind turbine model
is employed with a RANS approach using k-ε turbulence model.
The results are presented concerning spatially averaged velocity,
wake deficit behind the turbine, dispersive and turbulent fluxes.
∗
Address all correspondence to this author.
.
NOMENCLATURE
ρ Density(kg/m
3
)
z
o
Surface roughness
Ω Angular rotation rate(rad /sec)
u
i
Spatially filtered velocity in tensor form(m/s)
u
′
Fluctuation in velocity with time(m/s)
CFD Computational Fluid Dynamics
RANS Reynolds Averaged Navier Stokes
BEM Blade Element Momentum
LES Large Eddy Simulation
MBL Marine Boundary Layer
NREL National Renewable Energy Laboratories
INTRODUCTION
With the size of operational offshore wind turbines increas-
ing rapidly and already in the range of 100–150m, modeling of
1 Copyright © 2017 ASME
Proceedings of the ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering
OMAE2017
June 25-30, 2017, Trondheim, Norway
OMAE2017-61688