A practical numerical framework for free surface flows based on CLSVOF method, multi-moment methods and density-scaled CSF model: Numerical simulations of droplet splashing

Yokoi, Kensuke

doi:10.1016/j.jcp.2012.08.034

Cited by 110 publications

(53 citation statements)

References 55 publications

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“…This virtual grid differencing can lead to more accurate curvature estimation than Ref. [57], because the distribution of the level set function is smoother than the curvature distribution in general. The tri-linear interpolated level set functions at 27 virtual grid points are expressed aŝ …”

Section: Curvature Estimation: Virtual Grid Differencingmentioning

confidence: 97%

“…Many researchers have ever proposed accurate methods of curvature estimation to fix the problem [53][54][55][56][57]. A common principle in those methods is that a curvature at a cell is estimated at the foot of a perpendicular from the cell to the sharp interface between gas and liquid.…”

Section: Curvature Estimation: Virtual Grid Differencingmentioning

confidence: 99%

“…In this paper, the foot of a perpendicular is obtained by the following method, which is similar to and simpler than the method in Ref. [57]. Fig.…”

Section: Curvature Estimation: Virtual Grid Differencingmentioning

confidence: 99%

“…[57], the curvature at the foot is interpolated using the curvatures at vertices of the foot-containing cell. In this paper, on the other hand, the curvature at the foot is obtained by differencing the level set functions at 27 virtual grid points around the foot.…”

Section: Curvature Estimation: Virtual Grid Differencingmentioning

confidence: 99%

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Direct simulation of drying colloidal suspension on substrate using immersed free surface model

Fujita

Koike

Yamaguchi

2015

Journal of Computational Physics

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This paper presents a new direct simulation method for a drying colloidal suspension on a substrate. A key issue of the present method is the immersed free surface model proposed by the authors, which enables us to estimate accurately and efficiently capillary forces exerted on particles on a free surface. Using the immersed free surface model along with immersed boundary method and level set method, the present method leads to a three-way coupling of the fluid flow, the free surface motion and the particle motion. In addition, the present method includes a way of curvature estimation using virtual grid differencing to calculate accurately a surface tension. The way of curvature estimation is quantitatively validated through the simulation of a still droplet. The immersed free surface model is quantitatively validated through the simulation of a sphere moving across a free surface and the simulation of two spheres moving along a free surface. Finally, simulations of drying colloidal suspension containing 130 particles are performed to demonstrate the applicability of the present method to actual systems.

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Section: Curvature Estimation: Virtual Grid Differencingmentioning

confidence: 97%

Section: Curvature Estimation: Virtual Grid Differencingmentioning

confidence: 99%

“…In this paper, the foot of a perpendicular is obtained by the following method, which is similar to and simpler than the method in Ref. [57]. Fig.…”

Section: Curvature Estimation: Virtual Grid Differencingmentioning

confidence: 99%

Section: Curvature Estimation: Virtual Grid Differencingmentioning

confidence: 99%

See 2 more Smart Citations

Direct simulation of drying colloidal suspension on substrate using immersed free surface model

Fujita

Koike

Yamaguchi

2015

Journal of Computational Physics

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“…Based on the principle of VOF, several improved methods were developed: PLIC (Youngs, 1982), THINC (Xiao et al, 2005), WLIC (Yokoi, 2007) and tangent of hyperbola for interface capturing with slope weighting (THINC/SW; Xiao et al, 2011). Yokoi et al (2013) proposed a numerical framework consisting of the CLSVOF method, multi-moment methods and density-scaled CSF model. The framework can capture free-surface flows with complex interface geometries well.…”

Section: Introductionmentioning

confidence: 99%

A numerical study of tsunami wave impact and run-up on coastal cliffs using a CIP-based model

Zhao

Chen

Huang

et al. 2017

Nat. Hazards Earth Syst. Sci.

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Abstract. There is a general lack of understanding of tsunami wave interaction with complex geographies, especially the process of inundation. Numerical simulations are performed to understand the effects of several factors on tsunami wave impact and run-up in the presence of gentle submarine slopes and coastal cliffs, using an in-house code, a constrained interpolation profile (CIP)-based model. The model employs a high-order finite difference method, the CIP method, as the flow solver; utilizes a VOF-type method, the tangent of hyperbola for interface capturing/slope weighting (THINC/SW) scheme, to capture the free surface; and treats the solid boundary by an immersed boundary method. A series of incident waves are arranged to interact with varying coastal geographies. Numerical results are compared with experimental data and good agreement is obtained. The influences of gentle submarine slope, coastal cliff and incident wave height are discussed. It is found that the tsunami amplification factor varying with incident wave is affected by gradient of cliff slope, and the critical value is about 45 • . The run-up on a toe-erosion cliff is smaller than that on a normal cliff. The run-up is also related to the length of a gentle submarine slope with a critical value of about 2.292 m in the present model for most cases. The impact pressure on the cliff is extremely large and concentrated, and the backflow effect is non-negligible. Results of our work are highly precise and helpful in inverting tsunami source and forecasting disaster.

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Numerical investigation of gas–liquid and liquid–liquidTaylor flow through a circular microchannel with a sudden expansion

2021

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This paper investigates a CFD‐based analysis for gas–liquid and liquid–liquid Taylor flows through a circular axisymmetric microchannel with a sudden enlargement. A series of simulations are conducted by exploring the influence of different superficial velocity ratios, apparent viscosities, and channel expansion on the hydrodynamics of slug flow. A concentric junction introduces dispersed airflow into a continuous flow of water for gas–liquid flow, and the junction introduces dispersed water into a continuous flow of dodecane for liquid–liquid flow. The air‐bubble and water‐slug evolution processes, slug breakup, and slug expansion are investigated. In all cases, the lengths of air bubbles and water slugs increase with increasing superficial velocity ratio, particularly before the expansion. For gas–liquid flow, the apparent viscosity ratio causes a fluctuating interface over the uniform film region. However, the water slug length is shorter and the film region is slightly thicker in liquid–liquid compared to gas–liquid flow. The numerical analysis developed in this paper is in good agreement with the existing correlations and experimental data in the literature.

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A practical numerical framework for free surface flows based on CLSVOF method, multi-moment methods and density-scaled CSF model: Numerical simulations of droplet splashing

Cited by 110 publications

References 55 publications

Direct simulation of drying colloidal suspension on substrate using immersed free surface model

Direct simulation of drying colloidal suspension on substrate using immersed free surface model

A numerical study of tsunami wave impact and run-up on coastal cliffs using a CIP-based model

Numerical investigation of gas–liquid and liquid–liquidTaylor flow through a circular microchannel with a sudden expansion

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