@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}}
}
