Finite element analysis of two-dimensional non-linear transient water waves

Wu, G.X.; Taylor, R. Eatock

doi:10.1016/0141-1187(94)00029-8

Cited by 167 publications

(143 citation statements)

References 2 publications

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“…The use of FEM for fully nonlinear water waves was pioneered by Wu & Eatock Taylor (1994) [71]. Since then, the majority of solvers for fully nonlinear potential flow equations have been limited to second (low) order FEM schemes [72,26,45,46] based on a Mixed Eulerian Lagrangian method [43] for updating the free surface variables.…”

Section: On the Quest Towards Developing Numerical Strategies For Reamentioning

confidence: 99%

A stabilised nodal spectral element method for fully nonlinear water waves

Engsig-Karup

Eskilsson

Bigoni

2016

Journal of Computational Physics

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We present an arbitrary-order spectral element method for general-purpose simulation of non-overturning water waves, described by fully nonlinear potential theory. The method can be viewed as a high-order extension of the classical finite element method proposed and irregular dispersive wave propagation. The benefit of using a high-order -possibly adapted -spatial discretisation for accurate water wave propagation over long times and distances is particularly attractive for marine hydrodynamics applications.1

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Section: On the Quest Towards Developing Numerical Strategies For Reamentioning

confidence: 99%

A stabilised nodal spectral element method for fully nonlinear water waves

Engsig-Karup

Eskilsson

Bigoni

2016

Journal of Computational Physics

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“…A finite element method is adapted to discretize equation (1). Details of the methodology may be found in Wu and Taylor [2].…”

Section: Nonlinear Free-surface Flowmentioning

confidence: 99%

On the transient modelling of hydro-elastic interaction of gravity waves with an underwater elastic structure

Sudharsan¹,

Murali²

2006

ANZIAMJ

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Fluid structure interaction (fsi) of offshore structures is an important area of research. The behaviour of offshore structures in Numerical Wave Tanks possessing fsi capabilities is of significant industrial value. In fsi problems, it is necessary to interactively solve and analyse both the structural and fluid dynamics as a coupled system, because the structural response and fluid loading are mutually dependent. We present a methodology for analysing a two-dimensional fluid-structure interaction problem in the time domain. The methodology is based on a nonlinear velocity potential formulation and linear * Dept. C1354 elastic theory. The transient forces exerted by the fluid on the structure vary due to the elastic response of the structure. The dynamics of the free surface and the structure are also analysed for selected scenarios. We demonstrates that it is important to develop similar tools capable of solving such fsi problems in order to perform reliable and complete analysis leading to better and safer design.

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“…The FEM, on the other hand, divides the entire fluid domain into small elements. Typical applications for 2D flow include those by Wu & Eatock Taylor (1994, Clauss & Steinhagen (1999), Robertson & Sherwin (1999); and for 3D flow include Wu et al (1998) and Ma et al (2001aMa et al ( , 2001b.…”

Section: Introductionmentioning

confidence: 99%