AuthorsS. W. Funke, P. E. Farrell and M. D. Piggott
TitleReconstructing wave profiles from inundation data
AfilliationScientific Computing
Publication TypeJournal Article
Year of Publication2017
JournalComputer Methods in Applied Mechanics and Engineering
PublisherComputer Methods in Applied Mechanics and Engineering

This paper applies variational data assimilation to inundation problems
governed by the shallow water equations with wetting and drying.  The
objective of the assimilation is to recover an unknown time-varying wave profile at an open
ocean boundary from inundation observations. This problem is solved with 
derivative-based optimisation and an adjoint wetting and drying
scheme to efficiently compute sensitivity information. The capabilities of this approach are
demonstrated on an idealised sloping beach setup in which the profile of an
incoming wave is reconstructed from wet/dry interface observations. The method is
robust 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.