Simulation of surface tension in 2D and 3D with smoothed particle hydrodynamics method

Zhang, Mingyu

doi:10.1016/j.jcp.2010.06.010

Cited by 85 publications

(36 citation statements)

References 28 publications

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“…Xu et al [16] developed a diffuse-interface SPH model which can also simulating vdW liquid-vapor systems. By introducing a surface tension model in SPH, Zhang [17] simulated binary collisions of liquid drops in two and three dimensions successfully. However, for higher Reynolds number and higher Weber number, the model has to be improved.…”

Section: Introductionmentioning

confidence: 99%

Smoothed particle hydrodynamics modeling of viscous liquid drop without tensile instability

2014

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a b s t r a c tSmoothed particle hydrodynamics (SPH), as a Lagrangian meshfree particle method, has been applied to modeling viscous liquid drop with surface tension and wetting dynamics. In the SPH model, the van der Waals (vdW) equation of state is usually used to describe the gas-to-liquid phase transition similar to that of a real fluid. However, the attractive forces between SPH particles originated from the cohesive pressure of the vdW equation of state can lead to tensile instability, which is associated with unphysical phenomena such as particle clustering or blowing away. This paper presents an improved SPH method for modeling viscous liquid drop. The inherent tensile instability in SPH is removed by using a hyperbolicshaped kernel function which possesses non-negative second derivatives. A single-step approximation for heat flux is used in modeling viscous liquid drop with smoother temperature field. The formations of viscous liquid drops, both in 2D and 3D, are tested and it clearly demonstrates that the tensile instability can be effectively removed. The improved SPH method is also used to model two other numerical examples including the oscillation and binary collision of liquid drops without tensile instability.

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Section: Introductionmentioning

confidence: 99%

Smoothed particle hydrodynamics modeling of viscous liquid drop without tensile instability

2014

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“…Then, each of these sectors is checked for uid particles. If all sectors have at least one particle inside, then the particle in question is not located on the free surface; otherwise, the particle is marked as one of the free surface particles [11,32]. In this study, area around each particle is divided into 8 sectors, shown schematically in Figure 1.…”

Section: Surface Trackingmentioning

confidence: 99%

“…In most SPH studies, the radius of particle searching is equal to the support domain of the kernel, that is, k 0 = k [11,32]. This radius gives acceptable results in simple surface tension simulations, but for impact problems, such as the coalescence of two droplets, where large particle distortion occurs, it was concluded that an increase in this value is required.…”

Section: Surface Trackingmentioning

confidence: 99%

“…Zhang [11] used geometric interface reconstruction to obtain surface normal and curvatures to calculate surface tension using CSF formulation in single-phase SPH simulations having free surfaces. This method requires complicated programming and di ers from the traditional CSF method in a sense that surface properties are not calculated from the derivatives of the color function.…”

Section: Introductionmentioning

confidence: 99%

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Surface tension simulation of free surface flows using smoothed particle hydrodynamics

2017

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Abstract. SPH method is one of the most used numerical mesh-free methods in CFD simulations which can easily model problems with free surfaces. Considering the importance of surface tension in most engineering applications and the capability of SPH method in simulating free surfaces, a single-phase method for implementing surface tension is introduced in this study. Unlike time-consuming multi-phase simulations, this method does not need to model the second lighter uid, which reduces the CPU-time and memory requirements substantially. Mirror imaginary particles are used near the free surface to obtain surface properties such as surface normal vector and curvature, which are required in surface tension calculation. The advantages of using these imaginary particles are explained qualitatively through the use of some examples of droplet dynamics. This method is applied to several benchmark problems in surface tension simulations, and acceptable results are obtained.

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“…The first work was carried out by this method are performed by Zhang [17] where the free-surface boundary can be dynamically tracked by using geometric algorithms [18,19]. But this method is quite difficult to implement it, particularly in 3D.…”

Section: Introductionmentioning

confidence: 99%

Modelling surface tension with smoothed particle hydrodynamics in reactive rotational moulding

et al. 2015

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a b s t r a c tReactive Rotational Moulding (RRM) is the best process for producing large hollow plastic parts without weld lines. Constant quality in technical parts requires the process to be mastered by controlling on-line the main physical phenomena. However, the main drawback of RRM is poor control of the process due to the high number of influent parameters. In these conditions, the optimization of the process is quite complex. The aim of this work is to simulate the reactive fluid flow during RRM with Smoothed Particle Hydrodynamics (SPH) solver in two dimensions (2D) and three dimensions (3D) taking into account surface tension force. To implement this force, the interface is tracked explicitly using algorithm developed by Barecasco et al. (2013) and Terissa et al. (2013) and the reconstruction of curve or surface boundary by different interpolation or surface construction technique with Lagrangian interpolation and fitting circle methods in 2D and spherical regression in 3D, respectively.

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Simulation of surface tension in 2D and 3D with smoothed particle hydrodynamics method

Cited by 85 publications

References 28 publications

Smoothed particle hydrodynamics modeling of viscous liquid drop without tensile instability

Smoothed particle hydrodynamics modeling of viscous liquid drop without tensile instability

Surface tension simulation of free surface flows using smoothed particle hydrodynamics

Modelling surface tension with smoothed particle hydrodynamics in reactive rotational moulding

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