Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves

Khayyer, Abbas; Gotoh, Hitoshi; Shao, Songdong

doi:10.1016/j.coastaleng.2007.10.001

Cited by 248 publications

(128 citation statements)

References 37 publications

(84 reference statements)

Supporting

Mentioning

126

Contrasting

Order By: Relevance

“…More recently, Ren et al (2014) proposed an improved weakly compressible SPH (WCSPH) model, in which the tangential velocities were averaged near the porous interface so that almost continuous pressure fields can be obtained. Other significant progresses in the ISPH model development can be found in Khayyer et al (2008), Lind et al (2012) and Gotoh et al (2014).…”

Section: Introductionmentioning

confidence: 99%

Incompressible SPH simulation of wave interaction with porous structure

et al. 2015

View full text Add to dashboard Cite

In this paper an incompressible Smoothed Particle Hydrodynamics (ISPH) method is applied to investigate the flow motion in and around the porous structure. In order to describe in a simple and effective way the flow through the interface between the porous region and pure fluid region within the SPH framework, a heuristic boundary treatment method has been proposed. The ISPH model is first verified against a theoretical model of wave propagation over a porous bed and then further validated by comparing the predicted wave surface profiles and flow velocity fields with the experiment data for a typical case of flow motion around and inside a submerged porous structure. The good agreement has demonstrated that the improved ISPH model developed in this work is capable of modelling wave interaction with porous structures.

show abstract

Section: Introductionmentioning

confidence: 99%

Incompressible SPH simulation of wave interaction with porous structure

et al. 2015

View full text Add to dashboard Cite

show abstract

“…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%

“…Schwaiger 2008). Khayyer et al (2008) suggested a similar correction to the kernel gradient and applying it to estimating internal viscous force calculation to preserve both linear and angular momentum, but not for solving Poisson's equation. Gotoh et al (2014) derived the following expression using the divergence of the pressure gradient, LP-SPH08:…”

Section: Lp-sph07mentioning

confidence: 99%

See 1 more Smart Citation

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

View full text Add to dashboard Cite

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.

show abstract

“…The relatively low spatial resolution of these methods, constantly changing seafloor slopes, necessity of good breaking conditions, and researcher safety are often cited obstacles for field investigations of breaking waves. While numerical simulations of breaking waves from new computational fluid dynamics codes, such as Smoothed Particle Hydrodynamics, indicate huge potential for future investigative work, they are generally only qualitatively validated due to lack of detailed full scale data (Khayyer et al, 2008).…”

Section: Introductionmentioning

confidence: 99%

Remote Measurement and Prediction of Breaking Wave Parameters

Robertson

Nistor

Hall

et al. 2014

Int. Conf. Coastal. Eng.

View full text Add to dashboard Cite

The analysis of wave breaking in shallow water has been on-going for almost 150 years. Numerous research papers have been published that investigate methods to predict breaking conditions and the geometric characteristics of breaking waves. This study presents a novel, safe, and low cost method to extract breaking wave properties from irregular waves in the surf zone, using optical and in-situ measurement systems. Sensitivities studies on methods of measuring the breaking water depth are compared and the water depth at the wave trough depth, corrected for optical offsets using a still water correction of 1/3 wave height, is found to be exhibit the least variability. A new effective seafloor slope definition, based on individual breaking wavelength to depth ratios, was found to increase predictive ability over previously variable seafloor slope extraction methods. Collected field data is compared against established breaking wave height formulas with general exponential form consistently finding best correlation. An optimized breaking wave height predictor featured a root mean square relative error of only 1.672% against the measured dataset. Finally, the study of the geometric shape of the plunging wave vortex as a possible indicator for the breaking intensity of ocean waves has been ongoing for almost 50 years with limited success. The validity of using the vortex ratio and vortex angle as a method of predicting breaking intensity is examined. Through the first complete analysis of field collected irregular wave breaking vortex parameters it is illustrated that the vortex ratio and vortex angle cannot be accurately predicted using standard breaking wave characteristics and hence are not suggested as a possible indicator for breaking intensity

show abstract

Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves

Cited by 248 publications

References 37 publications

Incompressible SPH simulation of wave interaction with porous structure

Incompressible SPH simulation of wave interaction with porous structure

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

Remote Measurement and Prediction of Breaking Wave Parameters

Contact Info

Product

Resources

About