Computerized Decision Aid Applied to Meshless Method for the Use Case: Wave-Structure Interactions

Loukili, Mohamed; Kotrasová, Kamila; Mouhid, Mustapha

doi:10.1109/dasa51403.2020.9317009

Cited by 4 publications

(7 citation statements)

References 11 publications

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“…The problem of this work will be resolved using meshless method [22][23][24][25][26][27][28], whose effectiveness has been proven through many problems, such as Stokes equations [23], Couette Flow [24], Navier-Stokes equations [25,26], Helmholtz and diffusion problems [27], and free surface water waves problem equations [16-20, 28, 29].…”

Section: Methodsmentioning

confidence: 99%

A Generating - Absorbing Boundary Condition Applied to Wave - Current Interactions Using the Method of Fundamental Solutions

Loukili

Kotrasová

Bouaine

2021

Civil and Environmental Engineering

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The purpose of this work is to study the feasibility and efficiency of Generating Absorbing Boundary Conditions (GABCs), applied to wave-current interactions using the Method of Fundamental Solutions (MFS) as radial basis function, the problem is solved by collocation method. The objective is modeling wave-current interactions phenomena applied in a Numerical Wave Tank (NWT) where the flow is described within the potential theory, using a condition without resorting to the sponge layers on the boundaries. To check the feasibility and efficiency of GABCs presented in this paper, we verify accurately the numerical solutions by comparing the numerical solutions with the analytical ones. Further, we check the accuracy of numerical solutions by trying a different number of nodes. Thereafter, we evaluate the influence of different aspects of current (coplanar current, without current, and opposing current) on the wave properties. As an application, we take into account the generating-absorbing boundary conditions GABCs in a computational domain with a wavy downstream wall to confirm the efficiency of the adopted numerical boundary condition.

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Section: Methodsmentioning

confidence: 99%

A Generating - Absorbing Boundary Condition Applied to Wave - Current Interactions Using the Method of Fundamental Solutions

Loukili

Kotrasová

Bouaine

2021

Civil and Environmental Engineering

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“…In this section, we propose the method of fundamental solutions [10][11][12][13] (MFS) to resolve the equations governing the linear problem of wave-current interactions, by the implementation of the fundamental solution of 2D Laplace equation that is expressed as:…”

Section: Numerical Formulationmentioning

confidence: 99%

“…Next, φ(x, y) is the fundamental solutions of 2D Laplace equation that is obtained immediately by adopting the linear combination of fundamental solutions. Further, φ w (x, y, t) the velocity potential is deducted automatically from Equation (12), and then the free surface water waves elevation η(x, t) is obtained from Equation (3).…”

Section: Numerical Formulationmentioning

confidence: 99%

“…For these reasons, the generatingabsorbing boundary conditions (GABCs) in the presence of different aspect of currents (coplanar current, opposing current, and without current) is an interesting subject to investigate. Therefore, in this work the generating absorbing boundary conditions (GABCs) for the use of wave-current interactions is studied using the method of fundamental solutions (MFS) [10][11][12][13]. The MFS first proposed by Kupradze and Aleksidze [14] and has been widely used in the numerical solutions for the Laplace, Poisson, biharmonic, Helmholtz and diffusion equations.…”

Section: Introductionmentioning

confidence: 99%

“…It is also used to study Stokes equations [16], Navier-Stokes equations [17], Helmholtz and diffusion problems [18], Biharmonic equation [19]. MFS always appears as a powerful numerical method in dealing with linear and nonlinear problems [10][11][12][13]20,21].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2021

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In this paper, the goal is to revolve around discussing the stability of the Method of Fundamental Solutions (MFS) for the use case of wave-current interactions. Further, the reliability of Generating-Absorbing Boundary Conditions (GABCs) applied to the wave-current interactions is investigated using the Method of Fundamental Solutions (MFS), in a Numerical Wave Tank (NWT) within the potential theory where the main regular manifestations are the periodicity, and symmetry of traveling waves. Besides, the investigations cover different aspects of currents (coplanar current, without current, and opposing current), and also different water depths. Furthermore, the accuracy and stability of the numerical method (MFS) used in this work is evaluated for different locations and numbers of source points.

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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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Computerized Decision Aid Applied to Meshless Method for the Use Case: Wave-Structure Interactions

Cited by 4 publications

References 11 publications

A Generating - Absorbing Boundary Condition Applied to Wave - Current Interactions Using the Method of Fundamental Solutions

A Generating - Absorbing Boundary Condition Applied to Wave - Current Interactions Using the Method of Fundamental Solutions

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

Wave - Structure Interactions: A Literature Review

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