A novel SPH method for sedimentation in a turbulent fluid

Kwon, Jihoe; Monaghan, J. J.

doi:10.1016/j.jcp.2015.06.040

Cited by 10 publications

(7 citation statements)

References 15 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%

“…For the final test case, we simulated the sedimentation of the dust in a turbulent convective fluid. The test conditions were similar to those previously used . However, the dust concentration used in this test was higher, and 2 different methods were used for the Ψ calculation (DDIM‐based Ψ versus CIM‐based Ψ ).…”

Section: Test Casesmentioning

confidence: 99%

“…Sedimentation of particles near the bottom boundary was described using a sink model, by allowing the mass of each SPH dust particle to decrease when sufficiently close to the boundary. The details of the model were well described in Kwon and Monaghan . The time derivative of the mass of a dust particle i was calculated as follows:

\frac{{italicdm}_{i}}{dt} = m_{i} {(v_{s})}_{i} W^{o} ((),, z_{i}, l),

W^{o} ((),, z_{i}, l) = \frac{3}{32 l} ((),, 1 + 2 \frac{z_{i}}{l}) {(2 - \frac{z_{i}}{l})}^{4},

where l is the kernel length scale and z i is the distance of the particle i from the bottom boundary.…”

Section: Test Casesmentioning

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: Test Casesmentioning

confidence: 99%

\frac{{italicdm}_{i}}{dt} = m_{i} {(v_{s})}_{i} W^{o} ((),, z_{i}, l),

W^{o} ((),, z_{i}, l) = \frac{3}{32 l} ((),, 1 + 2 \frac{z_{i}}{l}) {(2 - \frac{z_{i}}{l})}^{4},

where l is the kernel length scale and z i is the distance of the particle i from the bottom boundary.…”

Section: Test Casesmentioning

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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Smoothed particle hydrodynamics modelling of multiphase flows: an overview

Pozorski,

Olejnik

2023

Acta Mech

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Smoothed particle hydrodynamics (SPH) is a meshless, particle-based approach that has been increasingly applied for modelling of various fluid-flow phenomena. Concerning multiphase flow computations, an advantage of the Lagrangian SPH over Eulerian approaches is that the advection step is straightforward. Consequently, the interphasial surface can be explicitly determined from the positions of particles representing different phases; therefore, there is no need for the interface reconstruction step. In this review paper, we briefly recall the basics of the SPH approach, and in particular the physical modelling and numerical implementation issues. We also mention the weaknesses of the approach and some remedies to overcome them. Then, we demonstrate the applicability of SPH to selected interfacial flow cases, including the liquid column break-up, gas–liquid flow regimes in a channel capturing the transitions between them and the wetting phenomena. Concerning the two-fluid modelling, it is illustrated with sediment transport in the presence of surface waves. Various other applications are briefly recalled from the rich and growing literature on the subject, followed by a tentative list of challenges in multiphase SPH.

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