Simulation of surface waves generated by an underwater landslide moving over an uneven slope

Beizel, S. A.; Чубаров, Л. Б.; Khakimzyanov, G. S.

doi:10.1515/rjnamm.2011.002

Cited by 8 publications

(7 citation statements)

References 18 publications

(17 reference statements)

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“…However, strictly speaking the employed empirical models are valid only for an absolutely rigid landslide sliding down a constant slope. Subsequent numerical simulations showed that the bottom shape influences quite substantially the generated wave field [13]. Consequently, for realistic modelling of real world cases one needs to take into account the actual bathymetry [103] and even possible deformations of the landslide during its motion [102].…”

Section: Wave Generation By An Underwater Landslidementioning

confidence: 99%

Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

Khakimzyanov¹,

Dutykh²,

Gusev³

et al. 2018

CiCP

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In this paper we describe a numerical method to solve numerically the weakly dispersive fully nonlinear SERRE-GREEN-NAGHDI (SGN) celebrated model. Namely, our scheme is based on reliable finite volume methods, proven to be very efficient for the hyperbolic part of equations. The particularity of our study is that we develop an adaptive numerical model using moving grids. Moreover, we use a special form of the SGN equations where non-hydrostatic part of pressure is found by solving a linear elliptic equation. Moreover, this form of governing equations allows to determine the natural form of boundary conditions to obtain a well-posed (numerical) problem.

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Section: Wave Generation By An Underwater Landslidementioning

confidence: 99%

Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

Khakimzyanov¹,

Dutykh²,

Gusev³

et al. 2018

CiCP

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“…T (x) corresponds to the leading elevation N -wave solution (LEN), while the second function η (2) T (x) is a typical leading depression N -wave (LDN). The results of optimization procedures are shown on Figures 5 and 6.…”

Section: Numerical Resultsmentioning

confidence: 99%

Generation of 2D water waves by moving bottom disturbances

Nersisyan¹,

Dutykh²,

Zuazua³

2014

IMA J Appl Math

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We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater object of a given shape which can be displaced according to a prescribed trajectory. We address the practical question of computing the wavemaker shape and trajectory generating a wave with prescribed characteristics. For the sake of simplicity we model the hydrodynamics by a generalized forced Benjamin-Bona-Mahony (BBM) equation. This practical problem is reformulated as a constrained nonlinear optimization problem. Additional constraints are imposed in order to fulfill various practical design requirements. Finally, we present some numerical results in order to demonstrate the feasibility and performance of the proposed methodology.

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“…Non-hysrostatic effects lead the appearance of linear dispersive terms in the governing equations. The problem of landslide generated waves has been addressed in the fully nonlinear shallow water framework [65,15,56,8]. Nevertheless, several authors obtained recently interesting results even in the linear [53,54] or nonlinear [27,18,7] hydrostatic models.…”

Section: The Boussinesq Modelmentioning

confidence: 99%

Boussinesq modeling of surface waves due to underwater landslides

Dutykh

Kalisch²

2013

Nonlin. Processes Geophys.

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Consideration is given to the influence of an underwater landslide on waves at the surface of a shallow body of fluid. The equations of motion that govern the evolution of the barycenter of the landslide mass include various dissipative effects due to bottom friction, internal energy dissipation, and viscous drag. The surface waves are studied in the Boussinesq scaling, with time-dependent bathymetry. A numerical model for the Boussinesq equations is introduced that is able to handle time-dependent bottom topography, and the equations of motion for the landslide and surface waves are solved simultaneously.

The numerical solver for the Boussinesq equations can also be restricted to implement a shallow-water solver, and the shallow-water and Boussinesq configurations are compared. A particular bathymetry is chosen to illustrate the general method, and it is found that the Boussinesq system predicts larger wave run-up than the shallow-water theory in the example treated in this paper. It is also found that the finite fluid domain has a significant impact on the behavior of the wave run-up

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Simulation of surface waves generated by an underwater landslide moving over an uneven slope

Cited by 8 publications

References 18 publications

Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

Generation of 2D water waves by moving bottom disturbances

Boussinesq modeling of surface waves due to underwater landslides

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