The numerical investigation of spreading process of two viscoelastic droplets impact problem by using an improved SPH scheme

Jiang, Tao; Liu, Lu; Lü, Wenpeng

doi:10.1007/s00466-013-0943-7

Cited by 21 publications

(17 citation statements)

References 48 publications

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“…The spreading tendency of D1 is more violent than that of D2 because part of the impacting energy of D2 is absorbed by D1. All the results in Figures and obtained by the viscous IFS‐CR‐MPS method agree well with the improved SPH results in Figures (a) and (a) of Jiang et al .…”

Section: Numerical Investigationsupporting

confidence: 85%

“…The definitions of the abbreviations used in this section are summarized in Table . In addition, surface tension is neglected to avoid its influence on stress stability and maintain consistency with references .…”

Section: Numerical Investigationmentioning

confidence: 99%

“…The definitions of the abbreviations used in this section are summarized in Table V. In addition, surface tension is neglected to avoid its influence on stress stability and maintain consistency with references [35,36,55,56]. First, the impact problem is simulated with an initial particle distance of l 0 = 2.0 × 10 À4 m and time step of Δt = 1 × 10 À5 s, which are the same as in previous SPH research [35,56].…”

Section: Single Viscous Droplet Impactmentioning

confidence: 99%

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A moving particle semi‐implicit method for free surface flow: Improvement in inter‐particle force stabilization and consistency restoring

Xiang

Chen

2016

Numerical Methods in Fluids

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The moving particle semi‐implicit (MPS) method has been widely applied in free surface flows. However, the implementation of MPS remains limited because of compressive instability occurred when the particles are under compressive stress states. This study proposed an inter‐particle force stabilization and consistency restoring MPS (IFS‐CR‐MPS) method to overcome this numerical instability. For inter‐particle force stabilization, a hyperbolic‐shaped quintic kernel function is developed with a non‐negative and smooth second order derivative to satisfy the stability criterion under compressive stress state. Then, a contrastive study is conducted on the contradiction between the common understanding of the conventional MPS hyperbolic‐shaped kernel function and its performance. The result shows that the conventional MPS hyperbolic‐shaped kernel function can easily cause violent repulsive inter‐particle force and then lead to the compressive instability. Therefore, the first order derivative of the modified hyperbolic‐shaped quintic kernel function is recommended as the form of the contribution of the neighbor particles to achieve a more stable inter‐particle repulsive force. For consistency restoring, the Taylor series expansion and the hyperbolic‐shaped quintic kernel are combined to improve the accuracy of the viscosity and pressure calculation. The IFS‐CR‐MPS algorithm is subsequently verified by the inviscid hydrostatic pressure, jet impacting, and viscous droplet impacting problems. These results can be used for choosing kernel function and the contribution of neighbor particles in particle methods. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: Numerical Investigationsupporting

confidence: 85%

Section: Numerical Investigationmentioning

confidence: 99%

Section: Single Viscous Droplet Impactmentioning

confidence: 99%

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A moving particle semi‐implicit method for free surface flow: Improvement in inter‐particle force stabilization and consistency restoring

Xiang

Chen

2016

Numerical Methods in Fluids

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“…; Cabezon et al 2012;Jiang et al 2014). We will assess the accuracy of the integral-based gradient estimates under idealized conditions in Sec.…”

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confidence: 99%

Boosting the accuracy of SPH techniques: Newtonian and special-relativistic tests

Rosswog

2015

Monthly Notices of the Royal Astronomical Society

181

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We study the impact of different discretization choices on the accuracy of SPH and we explore them in a large number of Newtonian and special-relativistic benchmark tests. As a first improvement, we explore a gradient prescription that requires the (analytical) inversion of a small matrix. For a regular particle distribution this improves gradient accuracies by approximately ten orders of magnitude and the SPH formulations with this gradient outperform the standard approach in all benchmark tests. Second, we demonstrate that a simple change of the kernel function can substantially increase the accuracy of an SPH scheme. While the "standard" cubic spline kernel generally performs poorly, the best overall performance is found for a high-order Wendland kernel which allows for only very little velocity noise and enforces a very regular particle distribution, even in highly dynamical tests. Third, we explore new SPH volume elements that enhance the treatment of fluid instabilities and, last, but not least, we design new dissipation triggers. They switch on near shocks and in regions where the flow -without dissipation-starts to become noisy. The resulting new SPH formulation yields excellent results even in challenging tests where standard techniques fail completely.

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“…The free surface problems that abound in many industrial production processes, including CIM and GAIM, are usually addressed with interface tracking methods such as smoothed particle hydrodynamics (SPH), phase field, volume of fluid (VOF), level set (LS), and CLSVOF (coupled level set and volume of fluid) methods . Among these methods, the CLSVOF method combines the advantages of the LS and VOF methods and compensates for the disadvantages of individual methods.…”

Section: Introductionmentioning

confidence: 99%

Macroscopic and mesoscopic simulation of viscoelastic free surface flow in gas‐assisted injection moulding process

Niu

Yuan

2019

Can J Chem Eng

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In this work, an improved simple coupled level-set and volume of fluid (S-CLSVOF) method is proposed to trace the moving interfaces in gas assisted injection moulding (GAIM) process based on the viscoelastic FENE-P model. Firstly, the Kreisselmeier-Steinhauser (KS) function constructed by means of Boolean operations is adopted as the shape level set (LS) function to precisely represent the complex mould cavities. Then, the benchmark problem of two-dimensional deformation is used to verify the ability of the S-CLSVOF method for capturing the moving interfaces. The stress birefringence is calculated and compared with the experiment result. Finally, the proposed method is further applied to the mould filling and gas penetration processes in GAIM. The macroscopic bubble appearance, temperature distribution, and the behaviour of the mesoscopic molecular orientation are shown and analyzed in detail. Due to the complexity of the gas-liquid interaction, the phenomenon of asymmetrical gas flow is clearly observed in the gas penetration process. The influences of the macroscopic parameters on the macroscopic gas flows and mesoscopic molecular orientation are also discussed, such as insert positions, melt temperatures, and gas delay time. The numerical results illustrate that the coupled method can be applied to the multiscale numerical simulation of viscoelastic flows with complex free surfaces and provide significant guidance for the GAIM process.

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The numerical investigation of spreading process of two viscoelastic droplets impact problem by using an improved SPH scheme

Cited by 21 publications

References 48 publications

A moving particle semi‐implicit method for free surface flow: Improvement in inter‐particle force stabilization and consistency restoring

A moving particle semi‐implicit method for free surface flow: Improvement in inter‐particle force stabilization and consistency restoring

Boosting the accuracy of SPH techniques: Newtonian and special-relativistic tests

Macroscopic and mesoscopic simulation of viscoelastic free surface flow in gas‐assisted injection moulding process

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