Spontaneous shrinkage of drops and mass conservation in phase-field simulations

Yue, Pengtao; Zhou, Chunfeng; Feng, James J.

doi:10.1016/j.jcp.2006.11.020

Cited by 229 publications

(177 citation statements)

References 16 publications

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“…As the continuum thermomechanical theory of a van der Waals fluid, the Navier-Stokes-Korteweg (NSK) equations [58] represent perhaps the earliest of diffuse-interface models, describing the dynamics of a single-component two-phase system. Simulations of liquidvapor flow using the NSK model have been performed, with a focus on bulk processes (boiling and cavitation), in [59][60][61][62][63][64][65][66][67][68][69][70], and on the interaction with solids to model phase-change-driven implosion [71]. Phase separation in liquid-vapor systems with other cubic equations of state has been simulated by [72][73][74][75].…”

Section: Introductionmentioning

confidence: 99%

Pore-scale modeling of phase change in porous media

Cueto‐Felgueroso

Juanes

2018

Phys. Rev. Fluids

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The combination of high-resolution visualization techniques and pore-scale flow modeling is a powerful tool used to understand multiphase flow mechanisms in porous media and their impact on reservoir-scale processes. One of the main open challenges in pore-scale modeling is the direct simulation of flows involving multicomponent mixtures with complex phase behavior. Reservoir fluid mixtures are often described through cubic equations of state, which makes diffuse-interface, or phase-field, theories particularly appealing as a modeling framework. What is still unclear is whether equation-of-state-driven diffuse-interface models can adequately describe processes where surface tension and wetting phenomena play important roles. Here we present a diffuse-interface model of single-component two-phase flow (a van der Waals fluid) in a porous medium under different wetting conditions. We propose a simplified Darcy-Korteweg model that is appropriate to describe flow in a Hele-Shaw cell or a micromodel, with a gap-averaged velocity. We study the ability of the diffuse-interface model to capture capillary pressure and the dynamics of vaporization-condensation fronts and show that the model reproduces pressure fluctuations that emerge from abrupt interface displacements (Haines jumps) and from the breakup of wetting films.

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Section: Introductionmentioning

confidence: 99%

Pore-scale modeling of phase change in porous media

Cueto‐Felgueroso

Juanes

2018

Phys. Rev. Fluids

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“…Such artificial phenomenon is described in details by Yue et al (2007) and was confirmed by Bao et al (2012) If the interfacial energy density is away from its minimum because α (ψ)…”

Section: Velocity Of the Regularized Interfacementioning

confidence: 77%

On a relation between the volume of fluid, level-set and phase field interface models

Wacławczyk

2017

International Journal of Multiphase Flow

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This paper discusses a relation between the re-initialization equation of the level-set functions derived by Wac lawczyk [J. Comp.Phys., 299, (2015)] and the condition for the phase equilibrium provided by the stationary solution to the modified Allen-Cahn equation [Acta Metall., 27, (1979)]. As a consequence, the statistical model of the non-flat interface in the state of phase equilibrium is postulated. This new physical model of the non-flat interface is introduced based on the statistical picture of the sharp interface disturbed by the field of stochastic forces, it yields the relation between the sharp and diffusive interface models.Furthermore, the new techniques required for the accurate solution of the model equations are proposed. First it is shown, the constrained interpolation improves re-initialization of the level-set functions as it avoids oscillatory numerical errors typical for the second-order accurate interpolation schemes. Next, the new semi-analytical, second order accurate Lagrangian scheme is put forward to integrate the advection equation in time avoiding interface curvature oscillations introduced by the second-order accurate flux limiters. These techniques provide means to obtain complete, second-order convergence during advection and reinitialization of the interface in the state of phase equilibrium.

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“…A key issue is the proper selection of the Chan-Hilliard model parameters, i.e., the capillary width, ε, and the mobility constant m [45,46] as well as the grid size h. The capillary width is associated with the Cahn number, Cn = ε/D t , for the definition of which we select the pore throat of HDa as the characteristic length scale. The transition region (and therefore the associated Cn) needs to be very small to capture the physics of the two-phase flow problem [41,42].…”

Section: Two-phase Flow Simulationsmentioning

confidence: 99%

Effects of Pore-Scale Geometry and Wettability on Two-Phase Relative Permeabilities within Elementary Cells

Janetti

Riva

Guadagnini

2017

Water

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Abstract:We study the relative role of the complex pore space geometry and wettability of the solid matrix on the quantification of relative permeabilities of elementary cells of porous media. These constitute a key element upon which upscaling frameworks are typically grounded. In our study we focus on state immiscible two-phase flow taking place at the scale of elementary cells. Pressure-driven two-phase flow following simultaneous co-current injection of water and oil is numerically solved for a suite of regular and stochastically generated two-dimensional explicit elementary cells with fixed porosity and sharing main topological/morphological features. We show that the relative permeabilities of the randomly generated elementary cells are significantly influenced by the formation of preferential percolation paths, called principal pathways, giving rise to a strongly nonuniform distribution of fluid fluxes. These pathways are a result of the spatially variable resistance that the random pore structures exert on the fluid. The overall effect on relative permeabilities of the diverse organization of principal pathways, as driven by a given random realization at the scale of the elementary cell, is significantly larger than that of the wettability of the host rock. In contrast to what can be observed for the random cells analyzed, the relative permeabilities of regular cells display a clear trend with contact angle at the investigated scale.

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Spontaneous shrinkage of drops and mass conservation in phase-field simulations

Cited by 229 publications

References 16 publications

Pore-scale modeling of phase change in porous media

Pore-scale modeling of phase change in porous media

On a relation between the volume of fluid, level-set and phase field interface models

Effects of Pore-Scale Geometry and Wettability on Two-Phase Relative Permeabilities within Elementary Cells

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