Pairwise Force Smoothed Particle Hydrodynamics model for multiphase flow: Surface tension and contact line dynamics

Tartakovsky, Alexandre M.; Panchenko, Alexander

doi:10.1016/j.jcp.2015.08.037

Cited by 114 publications

(85 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We want to point out here the fundamental role of the repulsive force for obtaining a behavior of the liquid surface coherent with real observation, as reported in many literature research [2,[21][22][23].…”

Section: The Modelsupporting

confidence: 71%

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

Battaglia

Gallitto

Fazio

2019

Comp Applic In Engineering

View full text Add to dashboard Cite

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.

show abstract

Section: The Modelsupporting

confidence: 71%

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

Battaglia

Gallitto

Fazio

2019

Comp Applic In Engineering

View full text Add to dashboard Cite

show abstract

“…The force F ij in Eq. [5] is used to impose the Young–Laplace boundary condition (Tartakovsky and Panchenko, 2016). Following Tartakovsky and Meakin (2005a), Tartakovsky and Panchenko (2016), and Kordilla et al (2013), we use a combination of kernel functions to generate a continuous function with short‐range repulsive and long‐range attractive components:

{boldF}_{i j} = s_{i j} {\begin{array}{l} left & [A \tilde{W} (r_{i j}, h_{1}) \frac{{boldr}_{i j}}{r_{i j}} + B \tilde{W} (r_{i j}, h_{2}) \frac{{boldr}_{i j}}{r_{i j}}] & if r_{i j} \leq h \\ left & 0 & if r_{i j} > h \end{array}

where

\overset{W}{true}

is the cubic spline function

\tilde{W} (r_{i j}, h) = {\begin{array}{l} left & 1 - \frac{3}{2} {(\frac{{boldr}_{i j}}{h})}^{2} + \frac{3}{4} {(\frac{{boldr}_{i j}}{h})}^{3} & if 0 \leq \frac{r_{i j}}{h} < 0.5 \\ left & \frac{1}{4} {(2 - \frac{{boldr}_{i j}}{h})}^{3} & if 0.5 \leq \frac{r_{i j}}{h} < 1 \\ left & 0 & if \frac{r_{i j}}{h} \geq 1 \end{array}

…”

Section: Governing Equations and The Pf‐sph Methodsmentioning

confidence: 99%

Investigation of Gravity‐Driven Infiltration Instabilities in Smooth and Rough Fractures Using a Pairwise‐Force Smoothed Particle Hydrodynamics Model

Shigorina¹,

Tartakovsky

Kordilla³

2019

Vadose Zone Journal

Self Cite

View full text Add to dashboard Cite

Core Ideas We study infiltration dynamics in smooth and rough fractures using a 3D SPH model. Roughness induces the formation of flow fingering and preferential flow paths. Fractal roughness leads to a deceleration of average fingertip velocities. The velocity variance of fingers positively correlates with the degree of roughness. Normalized finger velocity and length scale in accordance with analytical predictions. This work investigates small‐scale infiltration dynamics in smooth and rough single fractures using a three‐dimensional multiphase pairwise‐force smoothed particle hydrodynamics (PF‐SPH) model. Gravity‐driven infiltration instabilities in fractures under unsaturated conditions can significantly influence the arrival time of tracers or contaminants, and the rapid and localized recharge dynamics in fractured–porous aquifer systems. Here, we study the influence of roughness and injection rate on fluid flow modes and flow velocity. Three types of fractures are considered with different degrees of roughness, including a smooth fracture. Both the rough and smooth fractures exhibit flow instabilities, fingering, and intermittent flow regimes for low infiltration rates. In agreement with theoretical predictions, a flat fluid front is achieved when the flux q supplied to a fracture is larger than the gravitationally driven saturated flux [q > kρg/μcos(φ), where k is the intrinsic permeability of the fracture, ρ is a density, μ is the viscosity, and φ is the fracture inclination angle measured from the vertical direction]. To characterize the flow instability, we calculate standard deviations of velocity along the fracture width. For the considered infiltration rates, we find that an increase in roughness decreases the flow velocity and increases the standard deviation of velocity. This is caused by a higher likelihood of flow discontinuities in the form of fingering and/or snapping rivulets. To validate our unsaturated flow simulations in fractures, we estimate the scaling of specific discharge with normalized finger velocity, compute the relationship between fingertip length and scaled finger velocity, and find good agreement with experimental results.

show abstract

“…However, a simplification of the above model can be obtained in the framework of continuum mixture theory. 21 While the transport phenomena are mathematically described by the basic principles of conservation for each phase separately and by appropriate kinematic and dynamic conditions at the interfaces, this difficulty can be more easily covered by mixture theory by making use of the volume fraction α ϕ occupied by phase a, which is defined as a scalar function of position and time such that 0 1…”

Section: Fluid Flow Equationsmentioning

confidence: 99%

Application of Smoothed Particle Hydrodynamics (SPH) to Flow Simulations in Oil Reservoir Rocks

Sigalotti¹

2017

IPCSE

View full text Add to dashboard Cite

Pairwise Force Smoothed Particle Hydrodynamics model for multiphase flow: Surface tension and contact line dynamics

Cited by 114 publications

References 32 publications

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

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

Investigation of Gravity‐Driven Infiltration Instabilities in Smooth and Rough Fractures Using a Pairwise‐Force Smoothed Particle Hydrodynamics Model

Application of Smoothed Particle Hydrodynamics (SPH) to Flow Simulations in Oil Reservoir Rocks

Contact Info

Product

Resources

About