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Journal ArticleDOI

NWF: Propagation of Tsunami and its Interaction with Continental Shelf and Vertical Wall

TLDR
In this paper, the authors simulated tsunamis represented as solitary waves using the fully nonlinear free surface waves based on Finite Element method developed by Sriram et al. (2006) and established the split up of solitary wave while it propagates over the uneven bottom topography.
Abstract
In this article, tsunamis represented as solitary waves was simulated using the fully nonlinear free surface waves based on Finite Element method developed by Sriram et al. (2006). The split up of solitary wave while it propagates over the uneven bottom topography is successfully established. Wave transmission and reflection over a vertical step introduced in the bottom topography is in good agreement with the experimental results from Seabra-Santos et al. (1987). The wave transformation over a continental shelf with different smooth slopes reveals that the solitary wave reflection increases while the continental slope varies from flat to steep. The interaction of the solitary wave with a vertical wall for different wave steepness has been analysed. The reflected shape of the profile is in good agreement with the observation made by Fenton and Rienecker (1982) and an increase in wave celerity is observed.

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Citations
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Journal ArticleDOI

Tsunami evolution and run-up in a large scale experimental facility

TL;DR: Schimmels et al. as mentioned in this paper studied the propagation and run-up of long tsunami-like waves in the 300m long Large Wave Flume (GWK), Hannover, Germany and analyzed the feasibility of experiments on tsunami runup in large facilities.
Journal ArticleDOI

SPH Simulation of shallow water wavepropagation

TL;DR: In this paper, smoothed particle hydrodynamics (SPH) has been shown to be useful to study the propagation of nonlinear water waves generated in a numerical flume, and an explicit dynamic free surface boundary condition has been imposed in the SPH model for steady long time simulation.
Journal ArticleDOI

Effect of continental slope on N-wave type tsunami run-up

TL;DR: In this paper, an attempt is made to understand the effect of continental slope on the transmission, propagation and run-up of a tsunami, and to get a preliminary understanding, a one-dimensional numerical model study is carried out using shallow water equations.
Journal ArticleDOI

Simulation of nonlinear free surface dispersive shallow water waves

TL;DR: In this article, the finite element method is used in the domain for the estimation of the velocity potential, while, a cubic spline approximation is used to recover the velocity, and further modification is carried out for the velocity recovery by using least square method to overcome the difficulties in the simulation of steep waves.
Journal ArticleDOI

Effect of continental and nearshore slopes on tsunami height

TL;DR: In this paper, a numerical model study is carried out using shallow water equations that are solved using Crank-Nicolson finite difference approximation method on a staggered grid, where a rectangular solitary wave is considered to propagate over typical continental slopes and nearshore profiles available along the Indian coast.
References
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Journal ArticleDOI

On head-on collisions between two solitary waves

TL;DR: In this article, a head-on collision between two solitary waves on the surface of an inviscid homogeneous fluid was considered, and a perturbation method was used to calculate the effects of the collision.
DissertationDOI

Tsunamis -- the propagation of long waves onto a shelf

TL;DR: In this paper, a numerical method of solving the Boussinesq equations for constant depth using finite element techniques is presented, which is extended to the case of an arbitrary variation in depth (i.e., gradually to abruptly varying depth).
Journal ArticleDOI

A computer study of finite-amplitude water waves

TL;DR: In this article, the nonlinear properties of finite-amplitude water waves are modelled by a numerical method based on the Marker and Cell technique, which is shown to be a valid tool for analyzing incompressible flows with a free surface under transient conditions.

On head-on collision between two solitary-waves

C. H. Su, +1 more
TL;DR: In this paper, a head-on collision between two solitary waves on the surface of an inviscid homogeneous fluid was considered, and a perturbation method was used to calculate the effects of the collision.
Journal ArticleDOI

The solitary wave in water of variable depth

TL;DR: In this article, an asymptotic solution of these equations is obtained which describes a slowly varying solitary wave; also differential equations for the slow variations of the parameters describing the solitary wave are derived, and solved in the case when the solitary waves evolves from a region of uniform depth.
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