@article {25074,
	title = {The trade off between tidal-turbine array yield and environmental impact: a multi-objective optimisation problem},
	journal = {Renewable Energy},
	volume = {114},
	year = {2019},
	pages = {390-403},
	publisher = {Elsevier},
	abstract = {In the drive towards a carbon-free society, tidal energy has the potential to become a valuable part of the UK energy supply. Developments are subject to intense scrutiny, and potential environmental impacts must be assessed. Unfortunately many of these impacts are still poorly understood, including the implications that come with altering the hydrodynamics. Here, methods are proposed to quantify ecological impact and to incorporate its minimisation into the array design process. Four tidal developments in the Pentland Firth are modelled with the array optimisation tool OpenTidalFarm, that designs arrays to generate the maximum possible profit. Maximum entropy modelling is used to create habitat suitability maps for species that respond to changes in bed-shear stress. Changes in habitat suitability caused by an altered tidal regime are assessed. OpenTidalFarm is adapted to simultaneously optimise array design to maximise both this habitat suitability and to maximise the profit of the array. The problem is thus posed as a multi-objective optimisation problem, and a set of Pareto solutions found, allowing trade-offs between these two objectives to be identified. The methods proposed generate array designs that have reduced negative impact, or even positive impact, on the habitat suitability of specific species or habitats of interest.},
	doi = {10.1016/j.renene.2019.04.141},
	author = {Roan du {Feu} and Simon W {Funke} and Stephan C. {Kramer} and Dave M. {Culley} and Hill, J and B S {Halpern} and Matthew D. {Piggott}}
}
@article {25072,
	title = {Application of the adjoint approach to optimise the initial conditions of a turbidity current (AdjointTurbidity 1.0)},
	journal = {Geoscientic Model Development},
	year = {2017},
	pages = {1051-1068},
	publisher = {Copernicus Publications},
	doi = {10.5194/gmd-10-1051-2017},
	author = {Sam D. {Parkinson} and Simon W {Funke} and Hill, Jon and Matthew D. {Piggott} and Peter A. {Allison}}
}
@book {25071,
	title = {Mesh dependence in PDE-constrained optimisation},
	series = {An Application in Tidal Turbine Array Layouts},
	year = {2017},
	pages = {111},
	publisher = {Springer Research Brief},
	organization = {Springer Research Brief},
	edition = {1},
	address = {Berlin / Heidelberg},
	abstract = {This book provides an introduction to PDE-constrained optimisation using finite elements and the adjoint approach. The practical impact of the mathematical insights presented here are demonstrated using the realistic scenario of the optimal placement of marine power turbines, thereby illustrating the real-world relevance of best-practice Hilbert space aware approaches to PDE-constrained optimisation problems.Many optimisation problems that arise in a real-world context are constrained by partial differential equations (PDEs). That is, the system whose configuration is to be optimised follows physical laws given by PDEs. This book describes general Hilbert space formulations of optimisation algorithms, thereby facilitating optimisations whose controls are functions of space. It demonstrates the importance of methods that respect the Hilbert space structure of the problem by analysing the mathematical drawbacks of failing to do so. The approaches considered are illustrated using the optimisation problem arising in tidal array layouts mentioned above.This book will be useful to readers from engineering, computer science, mathematics and physics backgrounds interested in PDE-constrained optimisation and their real-world applications.},
	isbn = {978-3-319-59482-8},
	url = {http://www.springer.com/us/book/9783319594828},
	author = {Schwedes, Tobias and David A. {Ham} and Simon W {Funke} and Matthew D. {Piggott}}
}
@article {24986,
	title = {Reconstructing wave profiles from inundation data},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	volume = {322},
	year = {2017},
	pages = {167-186},
	publisher = {Elsevier},
	abstract = {This paper applies variational data assimilation to inundation problemsgoverned by the shallow water equations with wetting and drying. \&nbsp;Theobjective of the assimilation is to recover an unknown time-varying wave profile at an openocean boundary from inundation observations. This problem is solved with\&nbsp;derivative-based optimisation and an adjoint wetting and dryingscheme to efficiently compute sensitivity information. The capabilities of this approach aredemonstrated on an idealised sloping beach setup in which the profile of anincoming wave is reconstructed from wet/dry interface observations. The method isrobust against noisy observations if a regularisation term is added to the optimisation objective.Finally, the method is applied to a laboratory experiment of the Hokkaido-Nansei-Oki tsunami,where the wave profile is reconstructed with an error of less than 1\% of the reference wave signal.},
	doi = {10.1016/j.cma.2017.04.019},
	author = {Simon W {Funke} and Patrick Emmet {Farrell} and Matthew D. {Piggott}}
}
