This work presents a 2D study of vertical axis turbines with application to wind or tidal energy production. On the one hand, a degree-adaptive Hybridizable Discontinuous Galerkin (HDG) method is used to solve this incompressible NavierStokes problem. The HDG method allows to drastically reduce the coupled degrees of freedom (DOF) of the computation, seeking for an approximation of the solution that is defined only on the edges of the mesh. The discontinuous character of the solution provides an optimal framework for a degree-adaptive technique. Degreeadaptivity further reduces the number of DOF in the HDG computation by means of degree-refining only where more precision is needed. On the other hand, the finite volume method of ANSYS ® is used to validate and compare the obtained results.
IntroductionIn the last two decades, driven by the efforts to develop energy alternatives in order to reduce fossil fuel consumption and carbon emissions, wind power has been growing fast as an energy source, leading to cover 8 % of the European Union electricity consumption in 2013 [5]. Wind energy applications have first focused on locations where enhanced speed could be utilized to increase energy output, which explains why coastal and exposed hill tops have been preferred development sites, taking advantage of speed-up effects [2,13]. More recently, especially in the last 5 years, offshore renewable energy, including tidal and offshore wind energy, has been undergoing rapid development globally. 2013 was indeed a record year for offshore installations, with 1:567 MW of new capacity grid connected, and with A. Montlaur ( )