An enhanced weakly-compressible MPS method for free-surface flows

Jandaghian, Mojtaba; Shakibaeinia, Ahmad

doi:10.1016/j.cma.2019.112771

Cited by 30 publications

(56 citation statements)

References 60 publications

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“…compared with the original umbrella technique [45], our proposed algorithm presents more accurate detection of the free surface particles, particularly in regions where the wave-breaking event occurs (see the red circles in the zoom region 1 of Figure 3a). However, comparing to the method proposed by Jandaghian and Shakibaeinia [47], a very similar results for the free surface particles are observed. This is due to the conservative searching region we consider for the vision field of the particles.…”

Section: Free Surface Detection Algorithmsupporting

confidence: 76%

“…To ensure the stability of the particle methods, the particle regularization techniques have shown to be essential especially for dealing with highly dynamic fluid flows. Among the particle regularization techniques, the particle shifting (PS) method has been an effective approach for eliminating the tensile instability and avoiding unwanted fluid fragmentation [34][35][36]47,58]. Basically, the particle shifting formulations follow Fick's law of diffusion to disposition particles toward regions with low particle concentration.…”

Section: Enhanced Particle Shifting Techniquementioning

confidence: 99%

“…We compared our eye vision technique with the umbrella-shape area implemented in the free surface detection algorithm proposed by [45,47] (Figure 3). compared with the original umbrella technique [45], our proposed algorithm presents more accurate detection of the free surface particles, particularly in regions where the wave-breaking event occurs (see the red circles in the zoom region 1 of Figure 3a).…”

Section: Free Surface Detection Algorithmmentioning

confidence: 99%

“…This is due to the conservative searching region we consider for the vision field of the particles. It is worth to note that the proposed method is time-effective since less arithmetic operations are required (in comparison to [45,47] methods). Further, similar to the other searching areas and with some numerical simulation we found θ = π 2 to be a reasonable angle for the vision field in the benchmark test cases of this study.…”

Section: Free Surface Detection Algorithmmentioning

confidence: 99%

“…Marrone et al [45] and Barecasco et al [46] proposed accurate geometrical free surface detection techniques based on predefined scan region. It has been shown that combining the well developed algorithms strengthens the detection of free surface regions in particle methods [37,47].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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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Section: Free Surface Detection Algorithmsupporting

confidence: 76%

Section: Enhanced Particle Shifting Techniquementioning

confidence: 99%

Section: Free Surface Detection Algorithmmentioning

confidence: 99%

Section: Free Surface Detection Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows

Krimi

Jandaghian

Shakibaeinia

2020

Water

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Imposing accurate wall boundary conditions in corrective‐matrix‐based moving particle semi‐implicit method for free surface flow

Duan

Matsunaga

Yamaji

et al. 2020

Numerical Methods in Fluids

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Corrective matrix that is derived to restore consistency of discretization schemes can significantly enhance accuracy for the inside particles in the Moving Particle Semi-implicit method. In this situation, the error due to free surface and wall boundaries becomes dominant. Based on the recent study on Neumann boundary condition (Matsunaga et al, CMAME, 2020), the corrective matrix schemes in MPS are generalized to straightforwardly and accurately impose Neumann boundary condition. However, the new schemes can still easily trigger instability at free surface because of the biased error caused by the incomplete/biased neighbor support. Therefore, the existing stable schemes based on virtual particles and conservative gradient models are applied to free surface and nearby particles to produce a stable transitional layer at free surface. The new corrective matrix schemes are only applied to the particles under the stable transitional layer for improving the wall boundary conditions. Three numerical examples of free surface flows demonstrate that the proposed method can help to reduce the pressure/velocity fluctuations and hence enhance accuracy further.

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Three‐dimensional weakly compressible moving particle simulation coupled with geometrically nonlinear shell for hydro‐elastic free‐surface flows

Junior

Neto

Cheng

2022

Numerical Methods in Fluids

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A three-dimensional fluid-structure interaction solver based on an improved weakly compressible moving particle simulation (WC-MPS) method and a geometrically nonlinear shell structural model is developed and applied to hydro-elastic free-surface flows. The fluid-structure coupling is performed by a polygon wall boundary model that can handle particles and finite elements of distinct sizes. In WC-MPS, a tuning-free diffusive term is introduced to the continuity equation to mitigate nonphysical pressure oscillations. Discrete divergence operators are derived and applied to the polygon wall boundary, of which the numerical stability is enhanced by a repulsive Lennard-Jones force.Additionally, an efficient technique to deal with the interaction between fluid particles placed at opposite sides of zero-thickness walls is proposed. The geometrically nonlinear shell is modeled by an unstructured mesh of six-node triangular elements. Finite rotations are considered with Rodrigues parameters and a hyperelastic constitutive model is adopted. Benchmark examples involving free-surface flows and thin-walled structures demonstrate that the proposed model is robust, numerically stable and offers more efficient computation by allowing mesh size larger than that of fluid particles.

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An enhanced weakly-compressible MPS method for free-surface flows

Cited by 30 publications

References 60 publications

A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows

A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows

Imposing accurate wall boundary conditions in corrective‐matrix‐based moving particle semi‐implicit method for free surface flow

Three‐dimensional weakly compressible moving particle simulation coupled with geometrically nonlinear shell for hydro‐elastic free‐surface flows

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