On the numerical simulation of the nonbreaking solitary waves run up on sloping beaches

Farhadi, Asghar; Emdad, Homayoun; Rad, Ebrahim Goshtasbi

doi:10.1016/j.camwa.2015.09.001

Cited by 8 publications

(3 citation statements)

References 38 publications

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“…Then, the action of waves on bank slopes was determined for soil or fully weathered rock bank slopes and for the intake rock slope [27][28][29]. The cyclic action of the wave impact total energy on the bank slope can be expressed as a product of one impact force and the number of wave actions (Eq.…”

Section: Field Wave Element Monitoring and Geological Surveymentioning

confidence: 99%

Influence of Wind-Generated Wave Action on Mountain Reservoir Bank Collapse: A Case Study at the Lancang River, Western China

2022

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Slopes facing reservoir water often collapse, affecting reservoir capacity. It is important to understand the factors affecting such collapses and predict the locations of collapse after impoundment for practical purposes. However, the mechanism of bank collapse in mountainous areas after reservoir impoundment remains unclear. To address this issue, field geotechnical property surveys, laboratory tests, and numerical simulations were employed to evaluate bank collapse susceptibility. The results showed that (i) bank collapse mainly occurs in slopes with a small cohesion and internal friction angle of less than 30°; (ii) the main effects of wave action on bank collapse are scour, erosion, and cyclic impact on the bank slope: wave erosion occurs in the bank slope with a wave height of less than 1.0 m, cohesion of less than 90 kPa, and slope angle of less than 30°, and wave impaction mainly occurs at the area with a wave height of more than 2.0 m and a slope angle of more than 30°; (iii) for valley reservoirs, softening of water on the slope rock and soil mainly reduces cohesion, which commonly occurs within 30 days; the cyclic action of wave impact load mainly damages the structure and reduces the internal friction angle. The influence of waves on bank collapse is mainly related to the wave height and wave velocity. The antiwave impact broken energy of rock and soil is an important index to evaluate whether bank collapse occurs in the long term, which is related to the strength, structure, and impact resistance. The present research is helpful to better understand the mechanism and evolution process of reservoir bank collapse.

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Section: Field Wave Element Monitoring and Geological Surveymentioning

confidence: 99%

Influence of Wind-Generated Wave Action on Mountain Reservoir Bank Collapse: A Case Study at the Lancang River, Western China

2022

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“…Wave run-up at the coastline is mainly depends on the offshore wave conditions such as height, length, and velocity of waves and on the coastal geometry and topography [7]. Several previous studies have been devoted to predict waves propagation and determine the height of run-up along the coastlines [8,9,10,11,12,13,14,15,16,17,18]. Synolakis [19,20] performed theoretical and experimental study to analyze the evolution of non-breaking and breaking solitary waves and approximated the wave maximum run-up, as well as the breaking criterion when the wave climbs up the sloping breach.…”

Section: Introductionmentioning

confidence: 99%

A numerical model preserving nontrivial steady-state solutions for predicting waves run-up on coastal areas

Karjoun¹,

Beljadid²

2022

Preprint

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In this study, a numerical model preserving a class of nontrivial steady-state solutions is proposed to predict waves propagation and waves run-up on coastal zones. The numerical model is based on the Saint-Venant system with source terms due to variable bottom topography and bed friction effects. The resulting nonlinear system is solved using a Godunov-type finite volume method on unstructured triangular grids. A special piecewise linear reconstruction of the solution is implemented with a correction technique to ensure the accuracy of the method and the positivity of the computed water depth. Efficient semi-implicit techniques for the friction terms and a well-balanced formulation for the bottom topography are used to exactly preserve stationary steady-state s solutions. Moreover, we prove that the numerical scheme preserves a class of nontrivial steady-state solutions. To validate the proposed numerical model against experiments, we first demonstrate its ability to preserve nontrivial steady-state solutions and then we model several laboratory experiments for the prediction of waves run-up on sloping beaches. The numerical simulations are in good agreement with laboratory experiments which confirms the robustness and accuracy of the proposed numerical model in predicting waves propagation on coastal areas.

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“…Our approach relates to the analytical tradition of the previous generations [6,7]. It contrasts recent progress on nonlinear dispersive run-up, applying heavy numerical computations based on smoothed particle hydrodynamics [9].…”

Section: Introductionmentioning

confidence: 99%

Stagnant peaked free surface released at a sloping beach

Tyvand

Nøland

2021

J Eng Math

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A stagnant free-surface flow is an instantaneous flow field of pure acceleration with zero velocity and a deformed surface. There exists a potential-flow acceleration field. With zero velocity and the acceleration field given, there is a limiting free-surface position which possesses one peak at its point of highest elevation. By complex analysis, it can be shown that the surface peak has a right angle. We elaborate on an elementary model of two-dimensional stagnant free-surface flow with a peak. Our model may serve to describe a situation of maximal single-wave run-up with a given energy at a uniformly sloping beach. The highest possible run-up of an incoming solitary wave corresponds to zero kinetic energy. It encompasses an idealized situation where the kinetic wave energy is converted into potential energy in a water mass piling up along the slope to become stagnant at one single moment. Multipoles with singularities outside the fluid domain may give rise to a smooth and gradual deceleration needed for a non-breaking run-up process. A pair of dipoles with an orientation perpendicular to a given slope represents the stagnant acceleration fields with the highest surface peak spatially concentrated along the slope. Thereby, a one-parameter family of surface shapes is constituted, only dependent on the slope angle. The initial flow field, the initial free surface, the initial isobars and the geometric parameters are all calculated for different slope angles.

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On the numerical simulation of the nonbreaking solitary waves run up on sloping beaches

Cited by 8 publications

References 38 publications

Influence of Wind-Generated Wave Action on Mountain Reservoir Bank Collapse: A Case Study at the Lancang River, Western China

Influence of Wind-Generated Wave Action on Mountain Reservoir Bank Collapse: A Case Study at the Lancang River, Western China

A numerical model preserving nontrivial steady-state solutions for predicting waves run-up on coastal areas

Stagnant peaked free surface released at a sloping beach

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