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Fully nonlinear simulation of resonant motion of liquid confined between floating structures

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TLDR
In this paper, a finite element based numerical method is employed to analyze the resonant oscillations of the liquid confined within multiple floating bodies based on fully nonlinear wave theory, and the velocity potentials at each time step are obtained through the finite element method (FEM) with quadratic shape functions.
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This article is published in Computers & Fluids.The article was published on 2011-05-01. It has received 23 citations till now. The article focuses on the topics: Finite element method & Numerical analysis.

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Citations
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Fully nonlinear analysis of near-trapping phenomenon around an array of cylinders

TL;DR: In this paper, the wave diffraction around an array of fixed vertical circular cylinders is simulated in a numerical wave tank by using a fully nonlinear model in the time domain, and the authors show that an extremely high wave elevation near the cylinders can be observed.
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Experimental and numerical study on wave response at the gap between two barges of different draughts

TL;DR: In this paper, the authors considered two barges of different draughts in incident waves and compared the artificial viscous coefficient that indicates dissipation effects at the gap between them.
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Fully nonlinear analysis of second-order sloshing resonance in a three-dimensional tank

TL;DR: In this paper, the 3D boundary element method (BEM) based on the potential flow theory is developed to study the second-order resonance problems in rectangular sloshing tanks.
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Fully nonlinear simulations of interactions between solitary waves and structures based on the finite element method

TL;DR: In this article, a finite element method (FEM) was used to simulate the interaction between solitary waves and structures in two-dimensions, and the velocity potential was obtained by solving a linear matrix system using the conjugate gradient (CG) method with a symmetric successive overelaxlation (SSOR) preconditioner.
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Fully nonlinear analysis of second-order gap resonance between two floating barges

TL;DR: In this article, a two-dimensional boundary element method based on the fully nonlinear potential flow theory is adopted to study second-order wave resonance in a gap formed by twin barges.
References
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Journal ArticleDOI

A Simple Boundary Condition for Unbounded Hyperbolic Flows

TL;DR: In this article, a Sommerfeld radiation condition (2.2) was proposed for problems requiring a prescribed open boundary, and two severe tests were used to demonstrate the applicability of the open boundary condition: collapsing bubble, a dynamic event which excites many different internal gravity waves.
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A numerical nonlinear method of sloshing in tanks with two-dimensional flow

TL;DR: In this article, a numerical method for the study of sloshing in tanks with two-dimensional flow is presented, which satisfies the exact nonlinear free-surface conditions, and artificial damping is introduced.
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Numerical simulation of sloshing waves in a 3D tank based on a finite element method

TL;DR: In this paper, a finite element method based on the fully non-linear wave potential theory was used to analyze the sloshing waves in a three dimensional (3D) tank.
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An adaptive multimodal approach to nonlinear sloshing in a rectangular tank

TL;DR: In this paper, a modal theory based on an innite-dimensional system of nonlinear ordinary dierential equations coupling generalized coordinates of the free surface and fluid motion associated with the amplitude response of natural modes is presented.
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Finite element analysis of two-dimensional non-linear transient water waves

TL;DR: In this article, two approaches are used to analyze the two-dimensional nonlinear time domain free surface flow problem by the finite element method, one is based on the velocity potential which is approximated by means of shape functions, and the other approach is to write both potential and velocity in terms of the shape functions at the same time.
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