Numerical prediction of oil amount leaked from a damaged tank using two-dimensional moving particle simulation method

Jeong, Se-Min; Nam, Jung-Woo; Hwang, Sung-Chul; Park, Jong-Chun; Kim, Moo-Hyun

doi:10.1016/j.oceaneng.2013.05.009

Cited by 42 publications

(5 citation statements)

References 12 publications

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“…In Figure C, the flow has stopped (see the spreading evolution in Figure A), and the vorticity is completely dissipated off due to strong PST. This is consistent with that the conservative gradient model can restrict the real interface deformation . Therefore, the present method produces significantly better results than the second candidate, owing to the more flexible stabilizing strategies (eg, in Equation ).…”

Section: Resultssupporting

confidence: 85%

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

Duan

Koshizuka

Yamaji

et al. 2018

Numerical Meth Engineering

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Summary The Lagrangian moving particle semi‐implicit (MPS) method has potential to simulate free‐surface and multiphase flows. However, the chaotic distribution of particles can decrease accuracy and reliability in the conventional MPS method. In this study, a new Laplacian model is proposed by removing the errors associated with first‐order partial derivatives based on a corrected matrix. Therefore, a corrective matrix is applied to all the MPS discretization models to enhance computational accuracy. Then, the developed corrected models are coupled into our previous multiphase MPS methods. Separate stabilizing strategies are developed for internal and free‐surface particles. Specifically, particle shifting is applied to internal particles. Meanwhile, a conservative pressure gradient model and a modified optimized particle shifting scheme are applied to free‐surface particles to produce the required adjustments in surface normal and tangent directions, respectively. The simulations of a multifluid pressure oscillation flow and a bubble rising flow demonstrate the accuracy improvements of the corrective matrix. The elliptical drop deformation demonstrates the stability/accuracy improvement of the present stabilizing strategies at free surface. Finally, a turbulent multiphase flow with complicated interface fragmentation and coalescence is simulated to demonstrate the capability of the developed method.

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Section: Resultssupporting

confidence: 85%

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

Duan

Koshizuka

Yamaji

et al. 2018

Numerical Meth Engineering

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“…The post billow development stage of the instability reveals additional features that have been omitted in the previous work . From 3≲ t ≲4, the fully developed KHI billows which have the form of cat‐eye vortices are driven by the horizontal shearing motion between the fluid layers.…”

Section: Numerical Simulationsmentioning

confidence: 97%

Numerical simulation of two‐dimensional Kelvin–Helmholtz instability using weakly compressible smoothed particle hydrodynamics

Yue

Pearce

Kruisbrink

et al. 2015

Numerical Methods in Fluids

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SummaryThe growth of the Kelvin–Helmholtz instability generated at the interface between two ideal gases is studied by means of a Smoothed Particle Hydrodynamics (SPH) scheme suitable for multi‐fluids. The SPH scheme is based on the continuity equation approach where the densities of SPH particles are evolved during the simulation, in combination with a momentum equation previously proposed in the literature. A series of simulations were carried out to investigate the influence of viscosity, smoothing, the thickness of density and velocity transition layers. It was found that the effective viscosity of the presented results are strongly dependent on the artificial viscosity parameter αAV, with a linear dependence of 0.15. The utilisation of a viscosity switch is found to significantly reduce the spurious viscosity dependence to 1.68 × 10−4 and generated qualitatively improved behaviour for inviscid fluids. The linear growth rate in the numerical solutions is found to be in satisfactory agreement with analytical expectations, with an average relative error 〈ηsmooth〉=13%. In addition, the role played by velocity and density transition layers is also in general agreement with the analytical theory, except for the sharp‐velocity, finite‐density gradient cases where the larger growth rate than the classical growth rate is expected. We argue the inherited smoothing properties of the velocity field during the simulations are responsible for causing this discrepancy. Finally, the SPH results are in good agreement for finite velocity and density gradient scenarios, where an average relative error of 〈ηsmooth〉=11.5% is found in our work. Copyright © 2015 John Wiley & Sons, Ltd.

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“…The gradient vector at particle l is given by the weighted average of these gradient vectors. In this study, the corrected gradient model (4) suggested by [16] and validated in [26] is adopted:…”

Section: Gradient Modelmentioning

confidence: 99%

Numerical Simulation of 2-D Solitary Wave Run-Up over Various Slopes Using a Particle-Based Method

Jeong

Park

2019

Water

Self Cite

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The present paper covers the numerical prediction of the propagation and run-up of a solitary wave over non-flat seabed with various slope angles using a refined MPS (moving particle simulation) method. In the refined method, the corrected gradient model, new staggered divergence-free model, moving-particle wall boundary treatment, and the sub-particle scale turbulence model are applied to obtain more stable and precise results. The simulation results by the developed method are compared with experimental results, and both results were in good agreement. Especially, it can be seen that the complicated and fully-nonlinear behavior of the free-surface motion during the turbulent processes of build-up, break-down, and overturning of the waves are well reproduced by the developed method.

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Numerical prediction of oil amount leaked from a damaged tank using two-dimensional moving particle simulation method

Cited by 42 publications

References 12 publications

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

Numerical simulation of two‐dimensional Kelvin–Helmholtz instability using weakly compressible smoothed particle hydrodynamics

Numerical Simulation of 2-D Solitary Wave Run-Up over Various Slopes Using a Particle-Based Method

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