Tidal turbine array modelling using goal-oriented mesh adaptation
File(s)s40722-023-00307-9.pdf (3.61 MB)
Published version
Author(s)
Type
Journal Article
Abstract
To examine the accuracy and sensitivity of tidal array performance assessment by numerical techniques applying goal-oriented mesh adaptation. The goal-oriented framework is designed to give rise to adaptive meshes upon which a given diagnostic quantity of interest (QoI) can be accurately captured, whilst maintaining a low overall computational cost. We seek to improve the accuracy of the discontinuous Galerkin method applied to a depth-averaged shallow water model of a tidal energy farm, where turbines are represented using a drag parametrisation and the energy output is specified as the QoI. Two goal-oriented adaptation strategies are considered, which give rise to meshes with isotropic and anisotropic elements. We present both fixed mesh and goal-oriented adaptive mesh simulations for an established test case involving an idealised tidal turbine array positioned in a channel. With both the fixed meshes and the goal-oriented methodologies, we reproduce results from the literature which demonstrate how a staggered array configuration extracts more energy than an aligned array. We also make detailed qualitative and quantitative comparisons between the fixed mesh and adaptive outputs. The proposed goal-oriented mesh adaptation strategies are validated for the purposes of tidal energy resource assessment. Using only a tenth of the number of degrees of freedom as a high-resolution fixed mesh benchmark and lower overall runtime, they are shown to enable energy output differences smaller than 2% for a tidal array test case with aligned rows of turbines and less than 10% for a staggered array configuration.
Date Issued
2024-02
Date Acceptance
2023-10-23
Citation
Journal of Ocean Engineering and Marine Energy, 2024, 10 (1), pp.193-216
ISSN
2198-6452
Publisher
Springer
Start Page
193
End Page
216
Journal / Book Title
Journal of Ocean Engineering and Marine Energy
Volume
10
Issue
1
Copyright Statement
© The Author(s) 2023 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Identifier
https://link.springer.com/article/10.1007/s40722-023-00307-9
Subjects
ADAPTIVITY
ADJOINT
Adjoint methods
CONSERVATIVE INTERPOLATION
Energy & Fuels
Engineering
Engineering, Ocean
Mesh adaptation
OPTIMIZATION
Riemannian metric
Science & Technology
Technology
Thetis
Tidal power
Publication Status
Published
Date Publish Online
2023-12-08