Tsunami propagation kernel and its applications
Open Access
- 12 July 2021
- journal article
- research article
- Published by Copernicus GmbH in Natural Hazards and Earth System Sciences
- Vol. 21 (7), 2093-2108
- https://doi.org/10.5194/nhess-21-2093-2021
Abstract
Tsunamis rarely occur in a specific area, and their occurrence is highly uncertain. Suddenly generated from their sources in deep water, they occasionally undergo tremendous amplification in shallow water to devastate low-lying coastal areas. Despite the advancement of computational power and simulation algorithms, there is a need for novel and rigorous approaches to efficiently predict coastal amplification of tsunamis during different disaster management phases, such as tsunami risk assessment and real-time forecast. This study presents convolution kernels that can instantly predict onshore waveforms of water surface elevation and flow velocity from observed/simulated wave data away from the shore. Kernel convolution involves isolating an incident-wave component from the offshore wave data and transforming it into the onshore waveform. Moreover, unlike previously derived ones, the present kernels are based on shallow-water equations with a damping term and can account for tsunami attenuation on its path to the shore with a damping parameter. Kernel convolution can be implemented at a low computational cost compared to conventional numerical models that discretise the spatial domain. The prediction capability of the kernel method was demonstrated through application to real-world tsunami cases.Funding Information
- Japan Society for the Promotion of Science (18H01541)
This publication has 24 references indexed in Scilit:
- Global Dissipation Models for Simulating Tsunamis at Far-Field Coasts up to 60 hours Post-Earthquake: Multi-Site Tests in AustraliaFrontiers in Earth Science, 2020
- Characteristics of the 2011 Tohoku Tsunami Waveform Acquired Around Japan by Nowphas EquipmentCoastal Engineering Journal, 2013
- On the runup of long waves on a plane beachJournal of Geophysical Research: Oceans, 2012
- Japan's 2011 Tsunami: Characteristics of Wave Propagation from Observations and Numerical ModellingPure and Applied Geophysics, 2012
- Rapid forecasting of tsunami runup heights from 2-D numerical simulationsNatural Hazards and Earth System Sciences, 2011
- Long surface wave dynamics along a convex bottomJournal of Geophysical Research: Oceans, 2009
- Maximum run-up, breaking conditions and dynamical forces in the swash zone: a boundary value approachCoastal Engineering, 2008
- The Boundary Value Problem for the Nonlinear Shallow Water EquationsStudies in Applied Mathematics, 2007
- WATER WAVE RUN-UP ON A BEACHPublished by Defense Technical Information Center (DTIC) ,1964
- Water waves of finite amplitude on a sloping beachJournal of Fluid Mechanics, 1958