Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet

Matsunaga, Takuya; Koshizuka, Seiichi; Hosaka, Tomoyuki; Ishii, Eiji

doi:10.1016/j.jcp.2020.109349

Cited by 28 publications

(7 citation statements)

References 43 publications

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“…For single resolution methods, effective particle shifting schemes are retrieved by basing the particle shift on artificial interparticle δ rep,f r k i and particle-wall δ rep,w r k i repulsive forces. In this study, the treatment in (Matsunaga et al, 2020a) is extended to a multi-resolution setting, by appending a particle resizing-induced shifting component δ re r k i and by considering a multi-resolution weight function. The combined position shift δr k i is given as…”

Section: Particle Shiftingmentioning

confidence: 99%

“…For incompressible flow, the moving particle semi-implicit (Koshizuka and Oka, 1996) (MPS) and the incompressible smoothed particle hydrodynamics (Shao and Lo, 2003) (incompressible SPH) methods are the most commonly used. Some prominent advancements in their accuracy and stability are forth-order (Nasar et al, 2021) and analytical volume integration (Matsunaga et al, 2020b) wall boundary treatments, moving surface meshes for droplet simulation (Matsunaga et al, 2020a), as well as consistent discretization schemes (Khayyer et al, 2009;Khayyer and Gotoh, 2011;Khayyer and Gotoh, 2012;Liu et al, 2018), including the arbitrary-order least squares MPS (LSMPS) method (Tamai and Koshizuka, 2014;Tamai et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

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Adaptive resizing-based multi-resolution particle method

Södersten

Matsunaga

Koshizuka

et al. 2022

Mechanical Engineering Journal

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Multi-resolution techniques are essential for the performance of large-scale simulations of computational fluid dynamics with particle methods. In this study, a novel adaptive multi-resolution scheme has been developed for the least squares moving particle semi-implicit (LSMPS) method. With the proposed technique, particles are dynamically resized based on a local error estimate. The error estimate is defined by how well the velocity of a particle can be approximated by the Taylor-series expansions of its fluid neighbours, and vice versa for wall neighbours. Due to the adaptiveness of the multi-resolution technique, time-consuming optimization of predefined particle size targets is avoided. The adaptiveness also enables particle resizing which tracks transient resolution changes of the flow. Therefore, the adaptiveness should improve the computational efficiency of the multi-resolution method. In this study, the multi-resolution technique was tested for a two-dimensional eccentric rotating cylinder problem with a small clearance and a known steady-state solution. As expected, initially uniform particle sizes quickly decreased around the clearance. The particle size distribution evolution was smooth in both time and space throughout the simulations. Consequently, the multi-resolution method gave significantly more accurate results than a single resolution method with the same number of particles and time-step length. A drawback with the multi-resolution scheme is that the restrictions on time-step lengths become tighter. This issue is considered by an ongoing development of a multi-time stepping scheme.

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Section: Particle Shiftingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive resizing-based multi-resolution particle method

Södersten

Matsunaga

Koshizuka

et al. 2022

Mechanical Engineering Journal

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“…40,41 Therefore, many scholars have proposed high-precision methods such as the multiphase MPS method, the IMPS method, and the least squares MPS method for shortcoming of the MPS method, and have made advanced progress in the stability of the two-phase flow simulation. [42][43][44][45] DPD is a meshless mesoscopic simulation method, which describes the flow of fluid through the particle point motion in the continuous space domain. 9,46 In DPD, the interaction between particles is random and dissipative, in addition, the allowed calculation time step is relatively small.…”

Section: Introductionmentioning

confidence: 99%

“…In terms of fluid flow description, the flow interface can be obtained more clearly and smoother by the SPH method than those obtained by original MPS method 40,41 . Therefore, many scholars have proposed high‐precision methods such as the multiphase MPS method, the IMPS method, and the least squares MPS method for shortcoming of the MPS method, and have made advanced progress in the stability of the two‐phase flow simulation 42–45 . DPD is a meshless mesoscopic simulation method, which describes the flow of fluid through the particle point motion in the continuous space domain 9,46 .…”

Section: Introductionmentioning

confidence: 99%

An incompressible smoothed particle hydrodynamics‐finite volume method coupling algorithm for interface tracking of two‐phase fluid flows

Yang

2022

Numerical Methods in Fluids

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Two‐phase flow involves complex interface evolution process such as the formation, development, pulsation, and rupture of phase interfaces. Numerical simulation is one of the important means to study two‐phase flow. The tracking and reconstruction of phase interface is the focus of two‐phase flow simulation. A two‐phase flow simulation algorithm based on coupled incompressible smoothed particle hydrodynamics (ISPH) method and finite volume method (FVM) is developed in this article. In present ISPH‐FVM coupling algorithm, one phase which has smaller volume is represented by SPH particles, while the other phase is defined on the FVM grids. The coupling of ISPH and FVM is achieved through the transfer and interaction of physical parameters at the overlapping area of the SPH particles and FVM grids. The continuous medium surface force model is also introduced into the ISPH‐FVM coupling algorithm to study the effect of surface tension on the two‐phase flow. Several numerical examples of two‐phase flow are adopted to verify the effectiveness of the ISPH‐FVM coupling method.

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“…Such numerical artifacts are principally caused by the negative pressures due to the use of weakly compressible hypothesis, and the Lagrangian character of the SPH method, that leads the particles to follow the Lagrangian trajectories [31]. The non-uniform distribution resulting from clustering of fluid particles can significantly affect the convergence, stability and accuracy proprieties of the SPH method [32,33]. To deal with these challenging problems, Sun et al [34] have combined a particle regularization technique, called particle shifting technique (PST) with δ-SPH model for the first time to create the so-called δ + -SPH model, while being inspired from Lind et al's work [35].…”

Section: Introductionmentioning

confidence: 99%

A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows

Krimi

Jandaghian

Shakibaeinia

2020

Water

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In this work, we develop an enhanced particle shifting strategy in the framework of weakly compressible δ+-SPH method. This technique can be considered as an extension of the so-called improved particle shifting technology (IPST) proposed by Wang et al. (2019). We introduce a new parameter named “ϕ” to the particle shifting formulation, on the one hand to reduce the effect of truncated kernel support on the formulation near the free surface region, on the other hand, to deal with the problem of poor estimation of free surface particles. We define a simple criterion based on the estimation of particle concentration to limit the error’s accumulation in time caused by the shifting in order to achieve a long time violent free surface flows simulation. We propose also an efficient and simple concept for free surface particles detection. A validation of accuracy, stability and consistency of the presented model was shown via several challenging benchmarks.

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Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet

Cited by 28 publications

References 43 publications

Adaptive resizing-based multi-resolution particle method

Adaptive resizing-based multi-resolution particle method

An incompressible smoothed particle hydrodynamics‐finite volume method coupling algorithm for interface tracking of two‐phase fluid flows

A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows

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