Sedimentation in homogeneous and inhomogeneous fluids using SPH

Kwon, Jihoe; Monaghan, J. J.

doi:10.1016/j.ijmultiphaseflow.2015.02.004

Cited by 14 publications

(10 citation statements)

References 31 publications

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“…Laibe and Price improved the original formulation and applied the resulting algorithm to dust and gas in an astrophysical context. Recently, the model was also extended to successfully simulate dusty liquid and sedimentation . Although the results of those studies were in good agreement with their theoretical counterparts, numerical error in interpolation can result in unstable particle behavior under certain conditions—depending on the problem setup.…”

Section: Introductionmentioning

confidence: 81%

“…The equations of the SPH model for the dynamics of the dust‐liquid mixture have been previously described in many works . Although the essentials of the governing equations for dust‐liquid multiphase flow are described in detail in the present paper, readers may refer to the recent paper by Kwon and Monaghan for further detail, including the time stepping algorithm.…”

Section: Model Descriptionmentioning

confidence: 99%

“…The equations of the SPH model for the dynamics of the dust-liquid mixture have been previously described in many works. 1,4,5,[8][9][10][11]14 Although the essentials of the governing equations for dust-liquid multiphase flow are described in detail in the present paper, readers may refer to the recent paper by Kwon and Monaghan 10 for further detail, including the time stepping algorithm. In SPH, the particles can be interpreted using 2 different points of view: the mathematical interpolation points that are used to solve the governing equations and the physical material that has a certain amount of mass for each individual particle.…”

Section: Sph Equations Of Motionmentioning

confidence: 99%

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A novel method to calculate the pressure interaction between dust and fluid using SPH

Kwon

Cho

2017

Numerical Methods in Fluids

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Summary Unstable behavior of smoothed particle hydrodynamics (SPH) dust particles, such as clumping or fingering under certain conditions, has been reported by several researchers who have conducted studies on dusty fluid SPH. The simulation results in this study show that this instability is numerical, and the instability is mainly attributable to the ill‐interpolated pressure gradient in the interaction term between 2 phases. In this paper, we introduce a new method to calculate the pressure force interaction term between dust and fluid particles. The key idea is to first interpolate the pressure gradient at SPH fluid particles and then use the values to calculate the pressure gradient at SPH dust particles, in a consecutive manner. To compare the new method with the existing method, we first conducted an interpolation of pressure gradient at hydrostatic equilibrium under gravity to estimate any error. The results show that the new method is more accurate. We then conducted additional numerical tests, namely, dust‐liquid counterflow, sedimentation in a confined tank, and sedimentation in the presence of turbulence. The unphysical unstable behavior of SPH dust particles such as clumping or fingering was significantly reduced in the new method. The results also show that the instability becomes more significant when using the existing method especially for the case when simulating a flow with relatively high concentration of dust or for the case in which inertia dominates the dynamics of dust particles. Especially, in those cases, the existing method should be avoided, and the newly proposed method is highly recommended.

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Section: Introductionmentioning

confidence: 81%

Section: Model Descriptionmentioning

confidence: 99%

Section: Sph Equations Of Motionmentioning

confidence: 99%

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A novel method to calculate the pressure interaction between dust and fluid using SPH

Kwon

Cho

2017

Numerical Methods in Fluids

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“…Eq. (6)) implies that the tangential derivative of the pressure at the interface is also continuous, i.e., (15) where denotes the tangential direction of the interface.…”

Section: Use Of Eq (5) Yieldsmentioning

confidence: 99%

MLPG_R method for modelling 2D flows of two immiscible fluids

Zhou

Yan

2016

Numerical Methods in Fluids

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent repository link City Research OnlineThis article has been accepted for publication and undergone full peer review but has not been through the copyediting, typesetting, pagination and proofreading process which may lead to differences between this version and the Version of Record. Please cite this article as doi: 10.1002/fld.4353This article is protected by copyright. All rights reserved. MLPG_R method for modelling 2D flows of two immiscible fluids AbstractThis is a first attempt to develop the Meshless Local Petrov-Galerkin method with Rankine source solution (MLPG_R method) to simulate multiphase flows. In this paper, we do not only further develop the MLPG_R method to model two-phase flows but also propose two new techniques to tackle the associated challenges. The first technique is to form an equation for pressure on the explicitly identified interface between different phases by considering the continuity of the pressure and the discontinuity of the pressure gradient (i.e., the ratio of pressure gradient to fluid density), the latter reflecting the fact that the normal velocity is continuous across the interface. The second technique is about solving the algebraic equation for pressure, which gives reasonable solution not only for the cases with low density ratio but also for the cases with very high density ratio, such as more than 1000. The numerical tests show that the results of the newly developed two-phase MLPG_R method agree well with analytical solutions and experimental data in the cases studied.The numerical results also demonstrate that the newly developed method has a second-order convergent rate in the cases for sloshing motion with small amplitudes.

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“…What is more, SPH is a very flexible tooldifferent physical models can be easily incorporated and coupled, e.g. heat transfer [17], two-fluid formulation for dispersed flows [18,19] or rheological model for granular flows [20].…”

Section: Introductionmentioning

confidence: 99%

A Robust Method for Wetting Phenomena Within Smoothed Particle Hydrodynamics

Olejnik

Pozorski

2019

Flow Turbulence Combust

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This work is dedicated to improved modelling of wetting phenomena and contact angles by means of meshless Smoothed Particle Hydrodynamics (SPH) method. For this purpose we modify the surface tension model in the neighbourhood of the triple line. For higher accuracy we also alter the general method of computing the interface normals, by applying a specific smoothing to the field of vectors, and not the phase indicator function. The necessity of proper boundary conditions in SPH is concisely discussed with multiphase systems in mind. The implemented model yields accurate results for a set of static cases, even for very low values of the imposed contact angle, both in the absence and presence of gravity. The results of the calculations of droplets moving along the wall show a great potential of the proposed approach in future applications.

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Sedimentation in homogeneous and inhomogeneous fluids using SPH

Cited by 14 publications

References 31 publications

A novel method to calculate the pressure interaction between dust and fluid using SPH

A novel method to calculate the pressure interaction between dust and fluid using SPH

MLPG_R method for modelling 2D flows of two immiscible fluids

A Robust Method for Wetting Phenomena Within Smoothed Particle Hydrodynamics

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