A numerical study of violent sloshing problems with modified MPS method

Jena, D.P.; Biswal, K. C.

doi:10.1016/s1001-6058(16)60779-5

Cited by 20 publications

(2 citation statements)

References 19 publications

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“…By the virtue of this method, no numerical diffusion can be produced in the solution since the advection term has disappeared in the governing equations and no complicated mesh generation is needed due to its meshless nature. Therefore, the MPS method has been applied in a wide range of engineering fields in the past years, especially in dealing with the fluid problem with violent free-surface deformation [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

An Anti-Clustering Model for Stability Enhancement of a 3D Moving Particle Semi-Implicit Method and Two-Phase Coupling between MPS and Euler Grids

Feng

Huang

Lian

2021

Water

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As a Lagrangian gridless particle method, the MPS (Moving Particle Semi-implicit) method has a wide engineering application. However, for complex 3D flows, unphysical pressure oscillations often occur and result in the failure of simulations. This paper compares the stability enhancement methods proposed by different researchers to develop a 3D, stable MPS method. The results indicate that the proposed methods are incapable of eliminating the particle clustering that leads to instability as the main source in coarser particle spacing cases. An anti-clustering model, referring to the SPH (Smoothed Particle Hydrodynamics) artificial viscosity model, is proposed to further reduce instability. Combining various proposed methods and models, several typical examples are simulated comparatively. The results are compared with those of the VOF (Volume of Fluid) model using commercial software to validate the accuracy and stability of the combination of the proposed methods and models. It is concluded that (1) 3D cases that adopt a high-order Laplacian model and high-order source terms in PPE are more accurate than those adopting the low-order operators; (2) the proposed anti-clustering model can produce a tuned interparticle force to prevent particle clustering and introduce no additional viscosity effects in the flow of the normal state, which plays a very positive role for further stability enhancement of MPS; (3) particle resolution significantly maintains simulation accuracy given the stable algorithms by the combination of stability enhancement methods. The 3D MPS method is coupled with the Euler grid (FLUENT V17, ANSYS, Pittsburgh, PA, USA) in two phases. In particular, the 3D MPS algorithm is used to calculate the liquid-phase change from the continuous to the dispersed, and the finite volume method based on the Euler grid is adopted to measure the corresponding gas-phase motion. The atomization of the liquid jet under static air flow is calculated and compared with the results of the VOF method, which can capture the continuous interface.

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Section: Introductionmentioning

confidence: 99%

An Anti-Clustering Model for Stability Enhancement of a 3D Moving Particle Semi-Implicit Method and Two-Phase Coupling between MPS and Euler Grids

Feng

Huang

Lian

2021

Water

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“…The moving particle semi-implicit (MPS) method is a Lagrangian gridless method originally proposed by Koshizuka 1 for incompressible free-surface flows. The MPS method is applied in a wide variety of engineering fields such as nuclear engineering, 2–7 ocean engineering, 8–10 bioengineering, 11 etc. Despite the wide application in various engineering fields, the MPS method suffers the drawbacks that may significantly affect the stability and accuracy of pressure calculation.…”

Section: Introductionmentioning

confidence: 99%

Study on divergence approximation formula for pressure calculation in particle method

Zhu

Jiang

Yang

et al. 2018

The Journal of Computational Multiphase Flows

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The moving particle semi-implicit method is a meshless particle method for incompressible fluid and has proven useful in a wide variety of engineering applications of free-surface flows. Despite its wide applicability, the moving particle semiimplicit method has the defects of spurious unphysical pressure oscillation. Three various divergence approximation formulas, including basic divergence approximation formula, difference divergence approximation formula, and symmetric divergence approximation formula are proposed in this paper. The proposed three divergence approximation formulas are then applied for discretization of source term in pressure Poisson equation. Two numerical tests, including hydrostatic pressure problem and dam-breaking problem, are carried out to assess the performance of different formulas in enhancing and stabilizing the pressure calculation. The results demonstrate that the pressure calculated by basic divergence approximation formula and difference divergence approximation formula fluctuates severely. However, application of symmetric divergence approximation formula can result in a more accurate and stabilized pressure.

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