Simulation of wave overtopping by an incompressible SPH model

Three meshless methods, including incompressible smooth particle hydrodynamic (ISPH), moving particle semi-implicit (MPS) and meshless local Petrov-Galerkin method based on Rankine source solution (MLPG_R) methods, are often employed to model nonlinear or violent water waves and their interaction with marine structures. They are all based on the projection procedure, in which solving Poisson's equation about pressure at each time step is a major task. There are three different approaches to solving Poisson's equation, i.e. (1) discretizing Laplacian directly by approximating the second-order derivatives, (2) transferring Poisson's equation into a weak form containing only gradient of pressure and (3) transferring Poisson's equation into a weak form that does not contain any derivatives of functions to be solved. The first approach is often adopted in ISPH and MPS, while the third one is implemented by the MLPG_R method. This paper attempts to review the most popular, though not all, approaches available in literature for solving the equation.

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“…Shao et al (2006), Rafiee et al (2007), AtaieAshtiani and Shobeyri (2008), and Khayyer et al (2008). It is noted here that the density in Eqs.…”

Section: Lp-sph01mentioning

confidence: 99%

“…Koshizuka 1996;Gotoh and Sakai 2006;Khayyer and Gotoh 2010), the smooth particle hydrodynamic method (SPH) (e.g. Monaghan 1994; Shao et al 2006;Khayyer et al 2008;Lind et al 2012), the finite point method (e.g. Onate et al 1996), the element free Galerkin method (e.g.…”

Section: Overview Of Meshless Methodsmentioning

confidence: 99%

A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves

Zhou

Yan

2016

J. Ocean Eng. Mar. Energy

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“…This model was also used to simulate wave overtopping over rubble mound breakwaters by Losada et al(2008) and over a smooth impermeable sea wall by Reeve et al(2008). Shao et al(2006) found that both RANS-VOF and SPH models produced much better overtopping predictions than the conventional nonlinear shallow-water (NLSW) model over an impermeable sea wall and that the former slightly outperforms the latter.…”

Section: Surf Zone Modelsmentioning

confidence: 99%

Ensemble prediction of coastal flood risk arising from overtopping by linking meteorological, ocean, coastal and surf zone models

Zou

Chen

Cluckie

et al. 2013

Quart J Royal Meteoro Soc

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This paper presents an integrated 'Clouds-to-Coast' ensemble modelling framework of coastal flood risk due to wave overtopping. The modelling framework consists of four key components: meteorological forecasts, wave-tide-surge predictions, nearshore wave models and surf zone models. This type of ensemble prediction approach allows us to estimate the probabilities of various outcomes and so improve our understanding of the reliability of results. It also provides a measure of the uncertainty associated with predictions, which can be particularly large for extreme storms, and allows us to assess how the uncertainty propagates from meteorological forecasts to overtopping and subsequent coastal flood risk predictions. Copyright c 2013 Royal Meteorological SocietyKey Words: coastal flooding; overtopping; extreme events; ensemble prediction; uncertainty; sea wall

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“…Being a meshfree Lagrangian method, the SPH model does not require the explicit surface capturing scheme in treating strong nonlinear flows with large free surface deformation and enables the easy modeling of coastal structures with complex geometrical boundaries. Since Monaghan [8] pioneered the first simulation of a simple dam break problem using SPH, it has been successfully applied to fluid mechanics problems such as wave overtopping [9,10] and wave slamming [11,12]. Later it has been extended to solve fluid-structure interaction problems including wave interactions with caisson breakwaters [13,14], with floating bodies [15][16][17][18] and with porous structures [19][20][21][22] as well as wave interactions with mound breakwater protected by armour blocks being discretized using SPH particles [23,24].…”

Section: Introductionmentioning

confidence: 99%

A SPH numerical wave basin for modeling wave-structure interactions

Wen

Ren

Dong

et al. 2016

Applied Ocean Research

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. (2016). A SPH numerical wave basin for modeling wave-structure interactions. Applied Ocean Research, 59, 366-377. DOI: 10.1016/j.apor.2016 General rights Copyright and moral rights for the publications made accessible in Discovery Research Portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from Discovery Research Portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain.• You may freely distribute the URL identifying the publication in the public portal. Take down policyIf you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Abstract: Based on a parallel SPH-LES model, a three dimensional numerical wave basin is developed to study wave interaction with coastal structures. The OpenMP programming technology combined with an existing MPI program contained in the parallel version of SPHYSICS code has been implemented to enable the simulation of hundred millions of particles running on a computer cluster. As part of the numerical basin development work an active absorbing wave maker and a sponge layer are introduced. The dynamic boundary conditions are also corrected to reduce the spurious effects. Wave generation and propagation in the numerical wave basin is first tested and confirmed with analytical results. Then, the model is applied to simulate wave interactions with a vertical breakwater and a vertical cylinder in order to further assess the capability of the numerical wave basin. The predicted free surface elevation near the vertical breakwater is compared with the experimental data while the horizontal forces and overturning moments acting on the vertical cylinder are verified with the analytical results. In all these cases the model results show excellent agreement with the validation data.

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Simulation of wave overtopping by an incompressible SPH model

Cited by 142 publications

References 28 publications

A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves

A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves

Ensemble prediction of coastal flood risk arising from overtopping by linking meteorological, ocean, coastal and surf zone models

A SPH numerical wave basin for modeling wave-structure interactions

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