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Landslide tsunamis propagating around a conical island

Published online by Cambridge University Press:  18 March 2010

E. RENZI
Affiliation:
Dipartimento di Ingegneria Civile, Università degli Studi di Roma Tor Vergata, Via del Politecnico 1, 00133 Roma, Italy
P. SAMMARCO*
Affiliation:
Dipartimento di Ingegneria Civile, Università degli Studi di Roma Tor Vergata, Via del Politecnico 1, 00133 Roma, Italy
*
Email address for correspondence: sammarco@ing.uniroma2.it

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.

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Papers
Copyright
Copyright © Cambridge University Press 2010

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