Numerical Modeling of the Wave-Structure Interaction Using the Boundary Element Method
In this paper, a numerical wave tank (NWT) with fully nonlinear free-surface boundary conditions is used to investigate the interaction of waves with immersed obstacles and the resulting kinematics. In our modeling approach, the NWT is developed by use of
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Abstract. In this paper, a numerical wave tank (NWT) with fully nonlinear free-surface boundary conditions is used to investigate the interaction of waves with immersed obstacles and the resulting kinematics. In our modeling approach, the NWT is developed by use of a time-domain boundary element method (BEM) based on potential flow theory., the main advantage of this method is that only the domain boundaries (and possibly interfaces) are discretized leading to a drastic reduction of the total number of degrees of free dom. The present model is a first applied to simulate the generation of monochromatic periodic gravity waves by applying a semi-analytical or semi-numerical method to resolve the nonlinear gravity waves propagation, have verified by different orders of linear problems. In terms of application, we are interested in the mechanisms of the interaction of a two rectangular obstacles spaced and fixed on the bottom of the (NWT) in the presence of the waves. Comparisons of numerical predictions with experimental and analytical results are also made; qualitative good agreements are obtained. Keywords: Boundary element method Wave-structure interaction Numerical wave tank Nonlinear water waves Reflection
1 Introduction The interaction between waves and structure is a great concern in the coastal engineering, the ocean engineering, the naval architecture and other disciplines. In fact, the problem of wave propagation over an immersed obstacle has been widely investigated during the past decades. This problem also constitutes a field investigating theoretical and numerical methods for understanding the mechanisms of attenuation and dissipation of waves. The increase in computing power over the past thirty years has played a major role in the development of different numerical techniques to simulate body-wave interactions. These techniques may be classified into two main families: approaches based on the potential flows theory, and those based on Navier-Stokes equations. Attention is paid now to the various approaches based on potential flow theories, widely used in industrial and research numerical tools, which describe the irrotational flow of an incompressible © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 R. Silhavy et al. (Eds.): CoMeSySo 2020, AISC 1294, pp. 292–303, 2020. https://doi.org/10.1007/978-3-030-63322-6_23
Numerical Modeling of the Wave-Structure Interaction
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and inviscid fluid surrounding a rigid body. The different calculation methods are mostly based on a potential flow approach and only the resolution methods are different. Traditionally, most mathematical models have been developed by classical numerical methods such as the finite difference method (FDM), the finite element method (FEM) and the finite volume method (FVM), these methods have a very solid theoretical basis, and many techniques have improved it over the years. However, their implementation remains difficult and expensive in some cases, particularly in the c
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