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Journal ArticleDOI

Effect of the Tidal Currents at the Amphidromes on the Characteristics of an N-Wave-Type Tsunami

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TLDR
In this paper, the effect of the amphidromic current with the phase velocity of an N-wave-type tsunami and the subsequent run-up along the shore has been investigated.
Abstract
The disturbance due to a tsunami is always coupled with permanent harmonic ocean tides. The tsunami based on its time of occurrence will combine with a particular tidal phase. Thus, a coast will experience a modified water level due to a high- or low-tide situation. On the other hand, the tidal current at the amphidromes may act as an attenuator or amplifier of the tsunami prior to its arrival at the shore. A one-dimensional numerical study has been carried out to demonstrate the effect of the amphidromic current on tsunami characteristics. A realistic N-wave profile of the initial perturbation has been considered for the initiation of a tsunami. The interaction of the amphidromic current with the phase velocity of an N-wave-type tsunami and the subsequent run-up along the shore has been investigated in this paper.

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Citations
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SPH modeling of tidal bore scenarios

TL;DR: In this paper, a smoothed particle hydrodynamics (SPH) method is presented to study the three-dimensional (3D) tidal bore scenarios, which can track the large deformation of free surfaces in a straightforward and accurate way.
Journal ArticleDOI

Tsunami Wave Run-up on a Vertical Wall in Tidal Environment

TL;DR: In this paper, a nonlinear problem of shallow water theory for the tsunami wave run-up on a vertical wall in a tidal environment is solved analytically, showing that the tide can be considered static in the process of tsunami wave running-up.
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

Tsunami Run-Up on a Plane Beach in a Tidal Environment

TL;DR: In this paper, the authors analytically solve the nonlinear shallow water theory for the tsunami run-up on a plane beach in the presence of tide and show that over a plane-beach the tide in the nearshore zone can be considered static (uniform in space and frozen in time).
References
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BookDOI

Numerical methods for wave equations in geophysical fluid dynamics

TL;DR: In this paper, the authors derived two fundamental theorems of finite-difference methods: finite difference methods beyond Scalar Wave Equations (SFE) and finite volume methods.
Journal ArticleDOI

The run-up of N-waves on sloping beaches

TL;DR: In this paper, the authors used a first-order theory and derived asymptotic results for the maximum run-up within the validity of the theory for different types of N -waves.
Journal ArticleDOI

Exact analytical solutions of nonlinear problems of tsunami wave run-up on slopes with different profiles

TL;DR: In this paper, a stage-by-stage approach for finding run-up characteristics is formulated: the linear calculation of shoreline oscillations and the subsequent non-linear transformation of the solution according to the Riemann method.
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