A contoured continuum surface force model for particle methods

Duan, Guangtao; Koshizuka, Seiichi; Chen, Bin

doi:10.1016/j.jcp.2015.06.004

Cited by 70 publications

(26 citation statements)

References 55 publications

(122 reference statements)

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“…In addition, a contoured continuum surface force (CCSF) model was proposed in our group [49] and enhanced accuracy is demonstrated for the topological change of interfaces owing to the analytical curvature calculation of smoothed color function contours. Therefore, the CCSF model will be adopted to simulate the deformation and possible coalescence/breakup of oil-water interface.…”

Section: Introductionmentioning

confidence: 99%

A multiphase MPS solver for modeling multi-fluid interaction with free surface and its application in oil spill

Duan

Chen

Zhang

et al. 2017

Computer Methods in Applied Mechanics and Engineering

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Numerical simulation of free surface multi-fluid flow is a challenging problem owning to the interaction between deformed interface and free surface. In this paper, a multiphase particle solver (free surface multiphase moving particle semi-implicit method, FS-MMPS) is developed to predict the early spreading flow of spilled oil where exist the oil-water interface and air-oil/air-water free surface. First, a multiphase virtual particle model is proposed to substitute the inaccurate free surface boundary condition for multiphase flow in conventional MPS methods. Specifically, virtual particles of different liquid phases are compensated outside free surface so that the pressure of free surface particles can be solved from pressure Poisson equation, thereby improving the accuracy of multi-fluid interaction at free surface. Meanwhile, a pressure gradient model based on the coupling of Taylor series expansion and dynamic specification of particle stabilizing term (PST) is proposed to simultaneously enhance accuracy and depress instability caused by multiphase virtual particles. Experiments of early spreading of thick oil slicks and continuous oil spill from a damaged tank are conducted for validation and demonstration of the accuracy and

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Section: Introductionmentioning

confidence: 99%

A multiphase MPS solver for modeling multi-fluid interaction with free surface and its application in oil spill

Duan

Chen

Zhang

et al. 2017

Computer Methods in Applied Mechanics and Engineering

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“…The static subparticle scale turbulence model in the works of Duan et al and Duan and Chen with the Smagorinsky coefficient C s = 0.2 is adopted to enhance dissipation. The CCSF model with surface tension coefficient σ = 0.0152 N/m is used for interface behaviors. The flow is simulated using three different particle arrangements, ie, 805 × 50, 1610 × 100, and 3220 × 200.…”

Section: Resultsmentioning

confidence: 99%

“…The acceleration caused by surface tension is calculated from

{⟨\frac{{boldF}_{S}}{ρ}⟩}_{i} = \frac{σ κ \nabla C}{ρ_{i}},

where σ , κ , and C are the surface tension coefficient, local curvature, and color function, respectively. The local curvature κ is computed based on the contoured continuum surface force (CCSF) model in the work of Duan et al, and the gradient of the color function is calculated from Equation .…”

Section: Methodsmentioning

confidence: 99%

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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“…The distortion of the drop is measured by the benchmark deformation parameter for almost ellipsoidal drops proposed by Taylor [43] in a pioneering work. In fact, this is a very natural choice if we consider that most of theoretical, numerical, and experimental works on droplets undergoing shear or extensional flows until nowadays use the Taylor distortion parameter as the main geometrical measure [53][54][55]. This quantity can be written in function of the components of the Cauchy-Green distortion tensor of the droplet surface as [10]…”

Section: Automatic Time-step Control Methodsmentioning

confidence: 99%

A new mesh relaxation approach and automatic time‐step control method for boundary integral simulations of a viscous drop

Siqueira

Rebouças

Oliveira

et al. 2016

Numerical Methods in Fluids

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Summary We present a numerical methodology for the simulation of a viscous drop under simple shear flows by using the boundary integral method. The present work treats only a single drop in an unbounded fluid‐flow, but the results can be directly applied to studies on the rheology of dilute emulsions, in which the hydrodynamic interactions between two or more drops can be neglected. Singular and non‐singular integral representations of the velocity field are considered. Several aspects of the method are presented, including a new mesh relaxation approach and an automatic time‐step control method. The relaxation strategy is used in order to contain the distortion of the mesh and is performed by using relaxation iterations in a virtual temporal march between each physical time step of the simulation and monitoring the standard deviation of the areas of the elements. The automatic time‐step control method uses a global quantity related to the drop deformation in order to automatically set the temporal integration time step. It is carried out in a way to keep the local integration error less than a given tolerance. This strategy reduces the computational cost of the simulation by dramatically reducing the number of time steps in the temporal integration process. Copyright © 2016 John Wiley & Sons, Ltd.

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A contoured continuum surface force model for particle methods

Cited by 70 publications

References 55 publications

A multiphase MPS solver for modeling multi-fluid interaction with free surface and its application in oil spill

A multiphase MPS solver for modeling multi-fluid interaction with free surface and its application in oil spill

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

A new mesh relaxation approach and automatic time‐step control method for boundary integral simulations of a viscous drop

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