An overview of smoothed particle hydrodynamics for simulating multiphase flow

Wang, Zhibin; Chen, Rong; Wang, Hong; Liu, Qiang; Zhu, Xun; Li, Shu-Zhe

doi:10.1016/j.apm.2016.06.030

Cited by 168 publications

(71 citation statements)

References 155 publications

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“…The most important is that the accuracy of SPH solution is not influenced by the arbitrary distribution of particles under any extreme conditions. So, thanks to its huge advantages in adaptability, straightforwardness, and implementation ease, this particle method originally invented for astrophysical applications 2,9,10 has been rapidly extended and applied to a vast range of applications, such as the multiphase flow, [11][12][13] explosion and underwater shocks, [14][15][16][17] penetration, [18][19][20] high-velocity impact, [21][22][23][24][25] and geophysics, [26][27][28][29] etc.…”

Section: Introductionmentioning

confidence: 99%

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

Mao

Liu

2019

Numerical Meth Engineering

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Summary A novel smoothing particle hydrodynamics (SPH)‐like Lagrangian meshfree method, named as Lagrangian gradient smoothing method (L‐GSM), has been proposed to avoid the “tensile instability” issue in SPH simulation by replacing the SPH particle‐summation gradient approximation technique with a local grid‐based GSM gradient smoothing operator. The L‐GSM model has been proven effective and efficient when applied to a wide range of large deformation problems for fluids and flowing solids in two‐dimensional case. In this study, a three‐dimensional (3D) L‐GSM numerical framework is proposed for simulating large deformation problems with the existence of free surfaces through developing a widely adaptable 3D gradient smoothing domain (GSD) constructing algorithm. It includes three key novel ingredients: (i) the localized GSD based on an efficient distance‐oriented particle‐searching algorithm enabling both easy implementation and efficient computation; (ii) a novel algorithm for constructing 3D GSD to guarantee the effectiveness of the 3D GSM gradient operator adaptable to any extreme cases; (iii) a robust normalized 3D GSM gradient operator formulation that can restore the accuracy of gradient approximation even on boundary interface. The effectiveness of the proposed 3D GSD‐constructing algorithm is first verified under various distribution conditions of particles. The accuracy of the proposed adaptable 3D GSM gradient algorithm is then examined through conducting a series of numerical experiments with different spacing ratios. Finally, the 3D L‐GSM numerical framework is applied to solve a practical problem of free surface flows with large deformation: collapse of a soil column. The results reveal that the present adaptable 3D L‐GSM numerical framework can effectively handle the large deformation problems, like flowing solids, with a constantly changing arbitrary free surface profile.

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Section: Introductionmentioning

confidence: 99%

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

Mao

Liu

2019

Numerical Meth Engineering

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“…Different SPH models of surface tension have been recently discussed in the literature [4,9,20,25]. Among these, the so-called interparticle force model is in our 1 The equations of motion of these particles in the liquid are determined by the continuum equations of fluid dynamics with interpolation from the particles, which have, therefore, to be partially overlapping.…”

Section: The Modelmentioning

confidence: 99%

Computer simulations to approach surface tension by means of a simple mesoscopic mechanical model

Battaglia

Gallitto

Fazio

2019

Comp Applic In Engineering

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A small insect can stand or walk on water surface, drops of mercury do not spread on a solid surface, and a meniscus is formed at the free surface of a liquid contained in a thin vessel. These phenomena can be seen as macroscopic manifestations of molecular interactions and can be explained macroscopically in terms of surface tension. In this study, we deal with an approach to surface tension from a mechanical point of view, presenting a simple mesoscopic mechanical model of surface tension and the results of its implementation in numerical fluid dynamics simulations. Particularly, phenomena like droplet formation without gravity and with gravity when it can drop from a narrow hole like a trickling tap, the formation of a meniscus at the free surface of a liquid contained in a vessel, the behavior of a small piece of solid on a liquid surface, and a sessile droplet are studied. Student and teachers can study the behavior of a liquid due to the surface tension by using the numeric simulations as a “tool” for analyzing several different situations.

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“…From an academic perspective, different models and methods have been used for slug flow modeling, for example volume-of-fluid [10,11], level-set [12,13], lattice Boltzmann method (LBM) [14], smoothed particle hydrodynamics (SPH) [15,16] or phase field [17,18], but these are applied on microfluidic problems for the most part. In this work, we will focus on two of them : SPH and LBM, because while they are very different numerical methods, both in their origin and in their nature, they have shown a strong potential to model multiphase flows [19,20,21].…”

Section: Introductionmentioning

confidence: 99%

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

et al. 2019

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Smoothed Particle Hydrodynamics (SPH) and Lattice Boltzmann Method (LBM) are increasingly popular and attractive methods that propose efficient multiphase formulations, each one with its own strengths and weaknesses. In this context, when it comes to study a given multi-fluid problem, it is helpful to rely on a quantitative comparison to decide which approach should be used and in which context. In particular, the simulation of intermittent two-phase flows in pipes such as slug flows is a complex problem involving moving and intersecting interfaces for which both SPH and LBM could be considered. It is a problem of interest in petroleum applications since the formation of slug flows that can occur in submarine pipelines connecting the wells to the production facility can cause undesired behaviors with hazardous consequences. In this work, we compare SPH and LBM multiphase formulations where surface tension effects are modeled respectively using the continuum surface force and the color gradient approaches on a collection of standard test cases, and on the simulation of intermittent flows in 2D. This paper aims to highlight the contributions and limitations of SPH and LBM when applied to these problems. First, we compare our implementations on static bubble problems with different density and viscosity ratios. Then, we focus on gravity driven simulations of slug flows in pipes for several Reynolds numbers. Finally, we conclude with simulations of slug flows with inlet/outlet boundary conditions. According to the results presented in this study, we confirm that the SPH approach is more robust and versatile whereas the LBM formulation is more accurate and faster.

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An overview of smoothed particle hydrodynamics for simulating multiphase flow

Cited by 168 publications

References 155 publications

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

Computer simulations to approach surface tension by means of a simple mesoscopic mechanical model

Comparison of multiphase SPH and LBM approaches for the simulation of intermittent flows

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