Journal
JOURNAL OF OCEAN ENGINEERING AND MARINE ENERGY
Volume -, Issue -, Pages -Publisher
SPRINGERNATURE
DOI: 10.1007/s40722-023-00307-9
Keywords
Riemannian metric; Mesh adaptation; Adjoint methods; Tidal power; Thetis
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This study examines the accuracy and sensitivity of tidal array performance assessment using goal-oriented mesh adaptation. The results demonstrate that the goal-oriented methodology improves the accuracy of the discontinuous Galerkin method and enables more efficient extraction of energy compared to fixed mesh simulations.
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.
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