Simulation of surface waves generated by an underwater landslide moving over an uneven slope (original) (raw)
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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.
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.
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.
A numerical and experimental investigation of wave generated by submerged landslides
Ocean Engineering, 2020
Haojia Li, candidate for the degree of Master of Applied Science in Environmental Systems Engineering, has presented a thesis titled, A Numerical and Experimental Investigation of Wave Generated by Submerged Landslides, in an oral examination held on July 25, 2019. The following committee members have found the thesis acceptable in form and content, and that the candidate demonstrated satisfactory knowledge of the subject material.
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.
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.
Non-Hydrostatic Modeling of Waves Generated by Landslides with Different Mobility
Journal of Marine Science and Engineering
Tsunamis are generated when landslides transfer momentum to water, and these waves are major hazards in the mountainous coastal areas of lakes, reservoir, and fjords. In this study, the influence of slide mobility on wave generation is investigated using new: (i) experimental observations; (ii) theoretical relationships; and (iii) non-hydrostatic numerical predictions of the water surface and flow velocity evolution. This is accomplished by comparing landslides with low and high mobility and computing the momentum flux from landslides to water based on data collected in laboratory experiments. These slides have different materials, different impact velocities, different submarine runout distances, and generate very different waves. The waves evolve differently along the length of the waves’ flume, and the experimental results are in close agreement with high-resolution phase-resolving simulations. In this short communication, we describe new research on landslide generated waves con...
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.
Simulation of tsunami waves generated by submarine landslides in the Black Sea
Numerical technique for studying surface waves appearing under the motion of a submarine land- slide is discussed. This technique is based on the application of the model of a quasi-deformable landslide and two shallow water models, namely, the classic (dispersion free) one and the completely nonlinear dis- persivemodel of the second hydrodynamic approximation. Numerical simulation of surface waves generated by a large model landslide on the continental slope of the Black Sea near the Russian coast is performed. It is shown that the dispersion has a signi cant impact on the picture of propagation of tsunami waves on su ciently long paths.