Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows

Gueyffier, Denis; Li, Jie; Nadim, Ali; Scardovelli, Ruben; Zaleski, Stéphane

doi:10.1006/jcph.1998.6168

Cited by 829 publications

(550 citation statements)

References 38 publications

(96 reference statements)

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“…Traditional CFD methods such as the volume-of-fluid (VOF) method [18][19][20][21] and level set (LS) method [22][23][24] simulate multiphase flows by solving the macroscopic Navier-Stokes equations together with a proper technique to track/capture the phase interface. It is challenging to use VOF and LS methods for pore-scale simulations of multiphase flows in porous media because of the difficulties in modelling and tracking the dynamic phase interfaces.…”

Section: Introductionmentioning

confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which allow to study multiphase and multicomponent flows on a pore scale level. In this article, we give an extensive overview on a number of these diffuse interface models and discuss their advantages and disadvantages. Furthermore, we shortly report on multiphase flows containing solid particles, as well as implementation details and optimization issues.

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Section: Introductionmentioning

confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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“…Under the Euler framework, the interfacial tension implementation methods include the continuous interface stress method [68], continuous interface force method (CSF) [69], sharp surface force method [70], and ghost fluid method [71]. However, these methods unavoidably have a spurious currents problem on the interface between two phases at a high interfacial tension caused by the imbalance between surface tension and pressure gradient at the surface.…”

Section: Navier-stokes Equation-based Interface Capturing Methodsmentioning

confidence: 99%

“…However, these methods unavoidably have a spurious currents problem on the interface between two phases at a high interfacial tension caused by the imbalance between surface tension and pressure gradient at the surface. This spurious velocity can be expressed by the following equation [68]:…”

Section: Navier-stokes Equation-based Interface Capturing Methodsmentioning

confidence: 99%

Advances in Pore-Scale Simulation of Oil Reservoirs

Wang

et al. 2018

Energies

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Abstract:At the high water cut stage, the residual oil in a reservoir becomes complex and dispersed. Moreover, it is challenging to achieve good predictions of the movement of oil and water in a reservoir according to the macroscopic models based on the statistic parameters of this scenario. However, pore-scale simulation technology based on directly tracking the interaction among different phases can make an accurate prediction of the fluid distribution in the pore space, which is highly important in the improvement of the recovery rate. In this work, pore-scale simulation methods, including the pore network model, lattice Boltzmann method, Navier-Stokes equation-based interface tracking methods, and smoothed particle hydrodynamics, and relevant technologies are summarized. The principles, advantages, and disadvantages, as well as the degree of difficulty in the implementation are analyzed and compared. Problems in the current simulation technologies, micro sub-models, and applications in physicochemical percolation are also discussed. Finally, potential developments and prospects in this field are summarized.

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“…(7)) using the reconstructed interface and the solved velocity field at the previous time step; and the interfacial tension force model, which takes account of interfacial tension effects at the interface. Two widely-used interface reconstruction methods are simple line interface calculation (SLIC) (Hirt and Nichols (1981)) and the piecewise linear interface calculation (PLIC) (Gueyffier et al (1999)). In the SLIC method, the volume of fluid in each cell is treated as if its local interface is either a vertical or horizontal line.…”

Section: Volume Of Fluid Methodsmentioning

confidence: 99%