Simulation of surface waves generated by an underwater landslide moving along a spatially irregular slope (original) (raw)
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Simulation of surface waves generated by an underwater landslide in a bounded reservoir
Russian Journal of Numerical Analysis and Mathematical Modelling, 2012
Equations of a landslide motion over an uneven underwater slope subject to gravity and buoyancy forces, water friction and resistance are presented. A simulation of surface waves generated by a landslide in a bounded reservoir with a parabolic bottom profile has been performed within the nonlinear shallow water equations, and the results of that simulation are given. The influence of the parameters of the motion equation on the maximal splashing size is studied numerically.
Simulation of surface waves generated by an underwater landslide moving over an uneven slope
Russian Journal of Numerical Analysis and Mathematical Modelling, 2011
This paper is focused on the study of the effect of an underwater slope unevenness on the wave mode characteristics caused by the motion of a landslide over this slope. Using the simplest model representation of a landslide in the form of a rigid body, the authors consider two model reliefs, taking to some extent into account the peculiarities of the Mediterranean coast of Israel. The simulation of wave processes is performed within the framework of the equations of the shallow water theory. The results of the comparison of wave modes are discussed, the dependences of the characteristics of these modes on geometric and physical parameters of the studied phenomena, such as the landslide bedding depth, its length and thickness, the geometry of the slope, and the friction force are analyzed.
Simulation of surface waves generation by an underwater landslide
Russian Journal of Numerical Analysis and Mathematical Modelling, 2000
The present paper discusses the results of the numerical simulation of the process of surface wave generation by a moving underwater landslide. The computational algorithms are based on finite difference schemes for shallow water equations of different orders of hydrodynamic approximation and equations for potential ideal fluid flows with a free boundary. The dependence of the parameters of generated waves on the law of motion of the migrating bottom fragment is studied.
Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 2011
The work is devoted to the numerical modelling of surface water waves generated by a moving underwater landslide on irregular bottom. Currently the works of other authors consider flat bottoms only. The modelling is done in the framework of the shallow water model with taking into account bottom mobility. The equations are obtained for an underwater landslide movement under the action of gravity force, buoyancy force, friction force and water resistance force. The predictor-corrector scheme , preserving the monotonicity of the numerical solution profiles in a linear case, is used on adaptive grids, which are generated using the equidistribution method . The scheme is tested for the problem with a known analytical solution, describing the wave generation by a nondeformable body, which moves with a constant velocity on a horizontal bottom. The analysis is done for an irregular bottom of the dependencies of wave regime characteristics on bottom slope, initial landslide depth, its length and width.
Some Features of the Landslide Mechanism of Surface Waves Generation in Real Basins
Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 2011
We present the results of numerical modeling of surface wave generation by the movement of submerged deformable body along the slope, which simulates the real coastal slope. The multiparametric computations are carried out within the shallow water approximation that allowed to determine the dependence of wave pattern on the depth of landslide embedding, length and thickness of the body, relative density, friction coefficient, and slope geometry. The main attention is focused on the effects resulted from the heterogeneity of depths, which simulates specifics of real water basins.
A numerical study of submarine-landslide-generated waves and run-up
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2002
A mathematical model is derived to describe the generation and propagation of water waves by a submarine landslide. The model consists of a depth-integrated continuity equation and momentum equations, in which the ground movement is the forcing function. These equations include full nonlinear, but weak frequencydispersion, e¬ects. The model is capable of describing wave propagation from relatively deep water to shallow water. Simpli ed models for waves generated by small sea®oor displacement or creeping ground movement are also presented. A numerical algorithm is developed for the general fully nonlinear model. Comparisons are made with a boundary integral equation method model, and a deep-water limit for the depth-integrated model is determined in terms of a characteristic side length of the submarine mass. The importance of nonlinearity and frequency dispersion in the wave-generation region and on the shoreline movement is discussed.
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Dispersive waves generated by an underwater landslide
2011
In this work we study the generation of water waves by an underwater sliding mass. The wave dynamics are assumed to fell into the shallow water regime. However, the characteristic wavelength of the free surface motion is generally smaller than in geophysically generated tsunamis. Thus, dispersive effects need to be taken into account. In the present study the fluid layer is modeled by the Peregrine system modified appropriately and written in conservative variables. The landslide is assumed to be a quasi-deformable body of mass whose trajectory is completely determined by its barycenter motion. A differential equation modeling the landslide motion along a curvilinear bottom is obtained by projecting all the forces acting on the submerged body onto a local moving coordinate system. One of the main novelties of our approach consists in taking into account curvature effects of the sea bed.
The water wave generation by a freely falling rigid body is examined in this paper. Landslides on the margins of dam reservoirs may generate large waves that can produce flooding over the banks or overtopping the dam crest. In the present investigation, landslide generated waves are studied using a numerical model based on Navier-Stokes equations. Impulse wave amplitude, period, energy is studied in this work. The effects of bed slope angle on energy conversion from slide into wave are also investigated, and the numerical model we used in this study is the full three dimensional commercial code Flow-3D. Results of the Navier-Stokes model show that waves generated are highly dependent upon the details of slide mechanism and kinematics. Numerical solutions for the velocity fields, pressure distributions, and turbulence intensities in the vicinity of the falling rigid body are also presented. Results show that the general pattern of wave in all cases is the same but the amplitude and period are different. Data analysis shows that the maximum wave crest amplitude in subaerial induced waves is strongly affected by bed slope angle, landslide impact velocity, thickness, kinematics and deformation and by landslide shape.
Proceedings of the International Conference on Fluvial Hydraulics, Lisbon, Portugal, 6-8 September 2006, 2006
Slope failures may occur on the margins of reservoirs, and they give rise to water level variations in the reservoir. In this work, the generation of water waves in dam reservoirs by landslides and their effect on dams was investigated by means of laboratory measurements and two mathematical models. The experimental work was done in a channel of dimensions 12 m x 1 m x 1 m, on which a variable slope bank and a dam 10 m away were built. The waves were generated by the falling of calcareous blocks and the time history of the surface elevation was measured at several points. The waves overtopping and breaking on the dam were also measured using a video camera to obtain the time history of the surface elevation above the crest. The hydrodynamic force on the dam was measured using four pressure transducers. The experimental work was complemented by numerical simulations using two mathematical models, one based on Boussinesq-type equations and another on the 2D Reynolds-averaged Navier-Stokes equations coupled with a Volume-Of-Fluid (VOF) method for treating arbitrary free surfaces. There was a fair agreement between the numerical solutions and the experimental results. It was concluded that the approach described in the present study, using both physical and numerical modeling, is promising for future studies on dam safety.