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Development and application of a mesh generator intended for unsteady vortex-lattice method simulations of wind turbines and wind farms

تطوير وتطبيق مولد شبكي مخصص لمحاكاة طريقة الشبك الدوامي غير المستقر لتوربينات الرياح ومزارع الرياح
Authors: Bruno A. Roccia; Luis R. Ceballos; Marcos L. Verstraete; Cristian Guillermo Gebhardt;

Development and application of a mesh generator intended for unsteady vortex-lattice method simulations of wind turbines and wind farms

Abstract

Abstract. In the last decades, the unsteady vortex-lattice method (UVLM) has gained a lot of acceptance to study large onshore–offshore wind turbines (WTs). Furthermore, and due to the development of more powerful computers, parallelization strategies, and algorithms like the fast multipole method, it is possible to use vortex-based methods to analyze and simulate wind farms (WFs). However, UVLM-based solvers require structured meshes, which are generally very tedious to build using classical mesh generators, such as those utilized in the context of finite element methods (FEMs). Wind farm meshing is further complicated by the large number of design parameters associated with the wind turbine (coning angle, tilt angle, blade shape, etc.), farm layout, modeling of the terrain topography (for onshore WFs), and modeling of the sea level surface (for offshore WFs), which makes the use of FEM-oriented meshing tools almost inapplicable. In the literature there is a total absence of meshing tools when it comes to building aerodynamic grids of WTs and WFs to be used along with UVLM-based solvers. Therefore, in this work, we present a detailed description of the geometric modeling and computational implementation of an interactive UVLM-oriented mesh generator, named UVLMeshGen, developed entirely in MATLAB® and easily adaptable to GNU OCTAVE, for wind turbines and onshore–offshore wind farms. The meshing tool developed here consists of (i) a geometric processor in charge of designing and discretizing an entire wind farm and (ii) an independent module in charge of computing the kinematics for the entire WF. The output data provided by the UVLMeshGen consist of nodal coordinates and connectivity arrays, making it especially attractive and useful to be used by other flow potential solvers using vortices, sources and sinks, or dipoles/doublets, among others. The work is completed by providing a series of aerodynamic results related to WTs and WFs to show the capabilities of the mesh generator, without going into detailed discussions of wind turbine aerodynamics, which are not the focus of this paper. The meshing tool developed here is freely available under a Creative Commons Attribution 4.0 International License (Roccia, 2023).

Country
Norway
Keywords

Finite element method, Marine engineering, TJ807-830, Aerospace Engineering, FOS: Mechanical engineering, Structural engineering, Computational fluid dynamics, Mathematical analysis, Renewable energy sources, Aerodynamics, Engineering, Polygon mesh, FOS: Mathematics, Offshore wind power, Computer graphics (images), Airborne Wind Energy Systems and High-Altitude Platforms, Computational science, Mesh generation, Offshore Wind Farms, Computer science, Mechanical engineering, Wind Farm Optimization, Aerospace engineering, Analysis and Control of Axially Moving Dynamics, Control and Systems Engineering, Electrical engineering, Physical Sciences, Wind Energy Technology and Aerodynamics, Wind power, Mathematics, Discretization, Turbine

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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