Reconstructing wave profiles from inundation data

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...

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Authors: Funke, S W, Farrell, P E, Piggott, M D
Format: Article
Language:English
Subjects:
Drying
Optimization
Regularization
Shallow water equations
Wetting
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1612.09597