Landslide tsunamis propagating around a conical island

An analytical forced two-horizontal-dimension model is derived to investigate landslide tsunamis propagating around a conical island lying on a flat continental platform. Separation of variables and Laplace transform are used to obtain the free-surface elevation in the whole domain and the runup at...

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Bibliographic Details
Published in:Journal of fluid mechanics 2010-05, Vol.650, p.251-285
Main Authors: RENZI, E., SAMMARCO, P.
Format: Article
Language:English
Subjects:
Asymptotic properties
Earth sciences
Earth, ocean, space
Elevation
Engineering and environment geology. Geothermics
Exact sciences and technology
Fluid mechanics
Free surfaces
Islands
Landslides
Landslides & mudslides
Mathematical analysis
Mathematical models
Natural hazards: prediction, damages, etc
Propagation
Tsunamis
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Summary:An analytical forced two-horizontal-dimension model is derived to investigate landslide tsunamis propagating around a conical island lying on a flat continental platform. Separation of variables and Laplace transform are used to obtain the free-surface elevation in the whole domain and the runup at the shoreline in terms of confluent Heun functions. The main properties of these functions and their asymptotic behaviour for large parameters are investigated. Expression of the transient leading wave travelling offshore is also derived. The distinguishing physical features of landslide tsunamis propagating in a round geometry are then pointed out and compared with those of landslide tsunamis propagating along a straight coast. Analytical results satisfactorily agree with available experimental data.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112009993582