Study of a solitary wave interacting with a surface piercing square cylinder using a three-dimensional fully nonlinear model with grid-refinement technique on surface layers

Chang, Chih‐Hua

doi:10.1080/20464177.2016.1277605

Cited by 5 publications

(1 citation statement)

References 29 publications

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“…Namely, the problem was solved in the framework of the 2D Pot formulation using curvilinear grids. Similar results were achieved also in 2D in [5] and in 3D in [4]. The common conclusion of all these studies is that the floating body length and its immersion depth greatly influence the wave field in front and behind the obstacle.…”

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confidence: 80%

Long wave interaction with a partially immersed body. Part II: Numerical results

Khakimzyanov¹,

Dutykh²,

Gusev³

2022

Preprint

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In this manuscript we perform an extensive numerical study of the long wave interaction problem with a fixed partially immersed body into a fluid layer. The incident wave is assumed to be an isolated solitary wave. The body in this study is assumed to be fixed with a rectangular section which is not touching the bottom of the channel. The mathematical modelling of this problem is based on Part I [22] of this series and considered models include the Nonlinear Shallow Water Equations (NSWE), fully nonlinear weakly dispersive Serre-Green-Naghdi Equations (SGN equations) (completed with appropriate compatibility conditions on solid/fluid boundaries) and the free surface irrotational full Euler equations (FEE). We study the influence of the floating body elongation, immersion depth and incident wave amplitude on the wave field before and after the obstacle. The comparison of all three models predictions and the data of small-scale laboratory experiments is performed. Moreover, in the framework of the FEE model we investigate the anomalous wave run-up behind the floating body in the close presence of a vertical wall. We demonstrate the cases where the vertical wall creates extreme wave amplitudes behind the body, but also we show the cases where the wall attenuates wave amplitudes comparing to the wave field without a wall.

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Section: = ======= ⇒supporting

confidence: 80%

Long wave interaction with a partially immersed body. Part II: Numerical results

Khakimzyanov¹,

Dutykh²,

Gusev³

2022

Preprint

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Numerical investigation of the wave force on a partially immersed rectangular structure: Long waves over a flat bottom

2021

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Numerical modeling of the long surface wave impact on a partially immersed structure in a coastal zone: Solitary waves over a flat slope

Gusev,

Khakimzyanov,

Skiba

et al. 2023

Physics of Fluids

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This paper describes the numerical simulation of the solitary wave impact on a partially immersed and fixed structure located over a flat coastal slope. This topic is related to the need for assessment of the possible impact of long waves, such as tsunamis, on partially immersed structures in coastal waters. Numerical algorithms on a movable grid adapting to the motion of the shore point are developed for a fully nonlinear dispersive model and a dispersionless shallow water model. Their validation is carried out by comparing the obtained solutions with the data from laboratory experiments and with the results obtained using a fully nonlinear potential flow model. The study shows that the difference between the maximum wave impact on the body at the foot of the slope and near the shore can be up to 6 times. In many cases, the maximum horizontal component of the wave force occurs under the influence of the wave reflected from the shore, indicating the need to consider the influence of the shore-reflected wave when assessing the impact of long waves on structures located in coastal waters. Furthermore, the need to use runup algorithms instead of reflective boundary conditions (vertical wall) has been identified for gentler slopes, where the differences in the wave impact for these two configurations can be 2–3 times.

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Study of a solitary wave interacting with a surface piercing square cylinder using a three-dimensional fully nonlinear model with grid-refinement technique on surface layers

Cited by 5 publications

References 29 publications

Long wave interaction with a partially immersed body. Part II: Numerical results

Long wave interaction with a partially immersed body. Part II: Numerical results

Numerical investigation of the wave force on a partially immersed rectangular structure: Long waves over a flat bottom

Numerical modeling of the long surface wave impact on a partially immersed structure in a coastal zone: Solitary waves over a flat slope

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