Landslide tsunamis propagating around a conical island

E. Renzi; P. Sammarco

doi:10.1017/S0022112009993582

Landslide tsunamis propagating around a conical island

E. Renzi, P. Sammarco^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	251-285
Number of pages	35
Journal	Journal of Fluid Mechanics
Volume	650
DOIs	https://doi.org/10.1017/S0022112009993582
Publication status	Published - 10 May 2010
Externally published	Yes

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10.1017/S0022112009993582

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title = "Landslide tsunamis propagating around a conical island",

abstract = "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.",

author = "E. Renzi and P. Sammarco",

note = "Funding information: This work was funded by the Italian Ministry of Research (MIUR) under the research project {\textquoteleft}Development and validation of hydraulic and geologic tools for supporting a Tsunami Early Warning System. Implementation to the Stromboli (Eolie) landslide case{\textquoteright} (PRIN-2007). ",

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AU - Renzi, E.

AU - Sammarco, P.

N1 - Funding information: This work was funded by the Italian Ministry of Research (MIUR) under the research project ‘Development and validation of hydraulic and geologic tools for supporting a Tsunami Early Warning System. Implementation to the Stromboli (Eolie) landslide case’ (PRIN-2007).

PY - 2010/5/10

Y1 - 2010/5/10

N2 - 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.

AB - 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.

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DO - 10.1017/S0022112009993582

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JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

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Landslide tsunamis propagating around a conical island

Abstract

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