A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH

Molteni, D.; Colagrossi, A.

doi:10.1016/j.cpc.2008.12.004

Cited by 456 publications

(218 citation statements)

References 14 publications

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“…Herein, for the continuity equation the delta-SPH density diffusion formulation is used, first suggested by Molteni and Colagrossi (2009), as this has been shown to give noise-free pressure fields and close agreement with experimental data for wave propagation (Antuono et al, 2012;Altomare et al, 2015). Therefore, using the SPH divergence and gradient operators the conservation of mass for a particle is given by…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Composite modelling of subaerial landslide–tsunamis in different water body geometries and novel insight into slide and wave kinematics

Heller

Bruggemann

Spinneken

et al. 2016

Coastal Engineering

133

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A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription.For more information, please contact eprints@nottingham.ac.uk 05.01.2016, accepted for publication in Coastal Engineering 109(3), 20-41 (doi:10.1016/j.coastaleng.2015

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Section: Theoretical Backgroundmentioning

confidence: 99%

Composite modelling of subaerial landslide–tsunamis in different water body geometries and novel insight into slide and wave kinematics

Heller

Bruggemann

Spinneken

et al. 2016

Coastal Engineering

133

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“…Various formulations have been suggested in the literature to address the pressure fluctuations (e.g. Molteni and Colagrossi, 2009). The alternative approach is to solve a pressure Poisson equation for the fluid domain, with various ISPH schemes having been proposed (Cummins and Rudman, 1999;Shao and Lo, 2003 Tsunami wave and structure interaction: an investigation with smoothed-particle hydrodynamics Cunningham, Rogers and Pringgana Graham, 2010;Khayyer and Gotoh, 2010;Lee et al, 2008;Xu et al, 2009).…”

Section: Sph Formulationmentioning

confidence: 99%

Tsunami wave and structure interaction: an investigation with smoothed-particle hydrodynamics

Cunningham

Rogers

Pringgana

2014

Proceedings of the Institution of Civil Engineers - Engineering

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Numerical modelling by the meshless method of smoothed-particle hydrodynamics can offer quantification of tsunami wave pressures at a greater level of detail and accuracy than existing empirical methods, enabling more effective design solutions to be derived. In this paper, smoothed-particle hydrodynamics modelling of tsunami wave and structure interaction is undertaken to derive the time histories of wave pressure distributions, which can then be used by way of finite-element software to evaluate the structural response. In a series of comparative studies with physical models, the numerical results show good agreement with the experimental data. The research in this paper forms part of a wider investigation that aims to address the issue of improving resilience of shore-based structures in tsunami events.

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“…Since free surface solitons are driven by inertial forces and show inviscid behaviour, the momentum diffusion (either physical on numerical) was ignored in the present work. Instead the numerical diffusive term for density in the continuity equation worked out by [15] and further improved by [18] was implemented. Based on the linear stability analysis by Antuono [19] the density diffusion became an efficient tool on damping numerical oscillations.…”

Section: The Numerical Schemementioning

confidence: 99%

“…The discrete convolution (10) constructs an arbitrary flow field on a statistically uniform distribution of particles in space. In our calculations the renormalised Gaussian kernel function [15] is adopted, where r = |r i -r j |, and the renormalisation constants are…”

Section: The Numerical Schemementioning

confidence: 99%

Modeling Free-surface Solitary Waves with Smoothed Particle Hydrodynamics

Tóth

2017

Period. Polytech. Civil Eng.

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IntroductionThe first known observation of a solitary wave was reported by Scott Russell in 1834 [1]. He studied the behaviour of the solitary waves in laboratory while the first theoretical model explaining them appeared in 1895 by Korteweg and de Vries [2]. The idea of the Korteweg-de Vries (KdV) theory is based on slightly dispersive shallow water waves whose dispersion is balanced by nonlinear effects so that the wave preserves its amplitude and shape during the propagation on arbitrary distances. The exact solution of the KdV equation describes the shape and propagation speed of a soliton.Although the KdV theory can be considered a first order approximation and its solution describes real solitary waves well, higher order approximations can also be constituted. In During the past two decades, owing to its attractive properties and prominent capabilities in modeling free surface flows, SPH became one of the most popular particle based numerical schemes in many different areas of engineering applications, like modeling coastal waves or tsunamies.

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A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH

Cited by 456 publications

References 14 publications

Composite modelling of subaerial landslide–tsunamis in different water body geometries and novel insight into slide and wave kinematics

Composite modelling of subaerial landslide–tsunamis in different water body geometries and novel insight into slide and wave kinematics

Tsunami wave and structure interaction: an investigation with smoothed-particle hydrodynamics

Modeling Free-surface Solitary Waves with Smoothed Particle Hydrodynamics

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