Numerical Stability Investigations of the Method of Fundamental Solutions Applied to Wave-Current Interactions Using Generating-Absorbing Boundary Conditions

Loukili, Mohamed; Dutykh, Denys; Kotrasová, Kamila; Ning, Dezhi

doi:10.3390/sym13071153

Cited by 11 publications

(4 citation statements)

References 21 publications

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“…Then, it is recommended to use this approach compared to the ISBM method that is conditioned to the nodes number and the position of fictitious vertical boundaries. As perspective, we endeavor to study the wave-current-structure interactions using the Generating-Absorbing Boundary Conditions (GABCs) approach [22] to meticulously study the reflection and transmission coefficients for different aspects of currents.…”

Section: Discussionmentioning

confidence: 99%

Analytical and Numerical Investigations Applied to Study the Reflections and Transmissions of a Rectangular Breakwater Placed at the Bottom of a Wave Tank

et al. 2021

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The purpose of the work presented in this paper is to study the reflection and transmission coefficients resulting from the interactions of regular waves with a rectangular breakwater sited at the bottom of a tank. The present investigation is devoted to the analysis of the reflection and transmission coefficients within the framework of linearized potential flow theory using two methods, a numerical method based on the improved version of the meshless singular boundary method, and the analytical approach within the plane wave model. The numerical method is first validated by studying the accuracy of the numerical computations with respect to the number of boundary nodes and the location of the vertical boundaries of the computational domain, for different immersion ratios (h/d) and different relative lengths (w/d) of the obstacle. To assess the limitations of the analytical approach, a comparison analysis is carried out between the analytical and numerical results. To improve the calculations and the effectiveness of the analytical model, slight adjustments are made to the analytical procedure, which is termed here the corrected analytical plane wave model. Finally, the effects of the immersion ratio (h/d) and the relative length (w/d) of the obstacle on the reflection and transmission coefficients are computed using the three methods, and discussed for several wave and structural conditions.

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Section: Discussionmentioning

confidence: 99%

Analytical and Numerical Investigations Applied to Study the Reflections and Transmissions of a Rectangular Breakwater Placed at the Bottom of a Wave Tank

et al. 2021

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“…In addition, the numerical simulation using sponge layer boundary condition is mostly used, and then it is not efficient for several actual cases like truncated domains. For this reason, the Generating Absorbing Boundary Conditions (GABCs) [41,42] is strongly recommended to investigate easily the wave-current-structure interaction where the wave and current are coplanar, and opposite.…”

Section: Conclusion and Remarksmentioning

confidence: 99%

Wave - Structure Interactions: A Literature Review

Loukili

Kotrasová

Dutykh

et al. 2022

Civil and Environmental Engineering

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The purpose of the work is revolved around presenting a literature review applied to wave-structure interactions. During this literature review, three types of breakwaters are presented: Bottom submerged breakwater, submerged plate, and seawalls breakwaters. Further, a numerical method used recently to study wave-structure interactions is presented. Furthermore, a simple analytical model is illustrated. Next, an experimental technique then also is depicted. For more details, this review will focus clearly on submerged bottom breakwater in discussion section for the reason of the importance of this breakwater for many hydrodynamic applications. Finally, valuable remarks will be deducted in the conclusion section.

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“…In the past, a number of fluid reservoirs have failed [1,6,7], see Figures 1 and 2. Such failures have aroused great interest and many scientists have studied the dynamic behaviour of fluid reservoirs analytically and experimentally to accurately predict the seismic responses of fluid reservoirs [8].…”

Section: Introductionmentioning

confidence: 99%

The seismic response of cylindrical steel tank at Al Hoceïma city in Morocco

Kotrasová

Kormaníková

Loukili

et al. 2022

IOP Conf. Ser.: Mater. Sci. Eng.

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The aim of this article is determination of seismic response of cylindrical steel tank situated at Al Hoceïma city in Morocco. When a storage facility containing liquid starts moving due to earthquake loading, the fluid filling exerts additional hydrodynamic pressure on storage facility solid domain. The seismic effect of a liquid–filled storage facility converts the contained liquid into and equivalent spring-mass system representing impulsive mode together with convective mode of vibration of the storage facility - liquid system. The seismic response of cylindrical steel tank subjected to seismic loading was calculated by using the elastic response spectrum for locality Al Hoceïma city in Morocco. The rules of Eurocode 8-4 were respected for documented seismic analysis of storage facility containing liquid.

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Numerical Stability Investigations of the Method of Fundamental Solutions Applied to Wave-Current Interactions Using Generating-Absorbing Boundary Conditions

Cited by 11 publications

References 21 publications

Analytical and Numerical Investigations Applied to Study the Reflections and Transmissions of a Rectangular Breakwater Placed at the Bottom of a Wave Tank

Analytical and Numerical Investigations Applied to Study the Reflections and Transmissions of a Rectangular Breakwater Placed at the Bottom of a Wave Tank

Wave - Structure Interactions: A Literature Review

The seismic response of cylindrical steel tank at Al Hoceïma city in Morocco

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