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Effective Coastal Boundary Conditions for Tsunami Wave Run-up Over Sloping Bathymetry : Volume 1, Issue 1 (21/03/2014)

By Kristina, W.

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Book Id: WPLBN0004020093
Format Type: PDF Article :
File Size: Pages 53
Reproduction Date: 2015

Title: Effective Coastal Boundary Conditions for Tsunami Wave Run-up Over Sloping Bathymetry : Volume 1, Issue 1 (21/03/2014)  
Author: Kristina, W.
Volume: Vol. 1, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2014
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Groesen, E. V., Bokhove, O., & Kristina, W. (2014). Effective Coastal Boundary Conditions for Tsunami Wave Run-up Over Sloping Bathymetry : Volume 1, Issue 1 (21/03/2014). Retrieved from http://hawaiilibrary.net/


Description
Description: Department of Applied Mathematics, University of Twente, Enschede, the Netherlands. An effective boundary condition (EBC) is introduced as a novel technique to predict tsunami wave run-up along the coast and offshore wave reflections. Numerical modeling of tsunami propagation at the coastal zone has been a daunting task since high accuracy is needed to capture aspects of wave propagation in the more shallow areas. For example, there are complicated interactions between incoming and reflected waves due to the bathymetry and intrinsically nonlinear phenomena of wave propagation. If a fixed wall boundary condition is used at a certain shallow depth contour, the reflection properties can be unrealistic. To alleviate this, we explore a so-called effective boundary condition, developed here in one spatial dimension. From the deep ocean to a seaward boundary, i.e., in the simulation area, we model wave propagation numerically over real bathymetry using either the linear dispersive variational Boussinesq or the shallow water equations. We measure the incoming wave at this seaward boundary, and model the wave dynamics towards the shoreline analytically, based on nonlinear shallow water theory over sloping bathymetry. We calculate the run-up heights at the shore and the reflection caused by the slope. The reflected wave is then influxed back into the simulation area using the EBC. The coupling between the numerical and analytic dynamics in the two areas is handled using variational principles, which leads to (approximate) conservation of the overall energy in both areas. We verify our approach in a series of numerical test cases of increasing complexity, including a case akin to tsunami propagation to the coastline at Aceh, Sumatra, Indonesia.

Summary
Effective coastal boundary conditions for tsunami wave run-up over sloping bathymetry

Excerpt
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