A diffuse-interface method for simulating two-phase flows of complex fluids

By Pengtao Yue, James J. Feng, Chun Liu, Jie Shen. Journal of Fluid Mechanics, 2004

1,014 citations recorded by the source corpus.

Subfields: Computational Mechanics, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/8f1bd07f0aa0c5f948f150fe9dc7f21d4e42bdea

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In Computational Mechanics

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Citations in the corpus

Phase-Field Models for Multi-Component Fluid Flows (2012, background): “Please refer to [105, 106] for more details about a diffuse-interface formulation of Newtonian and Oldroyd-B fluids.”
A brief review of the phase-field-based lattice Boltzmann method for multiphase flows (2019, methodology): “With the rapid development of computer technology, numerical simulation has become an effective technique in the study of multiphase flows (Yue et al., 2004; Li et al., 2012).”
Study of a three component Cahn-Hilliard flow model (2006, methodology): “Diffuse interface models (see for instance the review in [2]) are now widely used to describe diphasic systems (see [6, 15, 28] and Sect.”
Numerical simulations of self-propelled jumping upon drop coalescence on non-wetting surfaces (2014, positive): “The interfacial flow is governed by the Navier–Stokes equations and the Cahn–Hilliard equation (Yue et al. 2004) ∇ · v = 0, (2.4) ρ ( ∂v ∂t + v · ∇v ) = −∇P+µ∇2v+G∇φ, (2.5) ∂φ ∂t + v · ∇φ = γ∇2G, (2.6) where v is the velocity vector, t is the time, P is the pressure, γ is the mobility parameter and…”
Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, methodology): “[65, 300, 306], the interface thickness is calculated from 0.”
Diffuse interface model for incompressible two-phase flows with large density ratios (2007, methodology): “The resulting DI method has been used for the simulation of a wide range of two-phase flow problems including vesicle dynamics [10], Hele-Shaw flows [11], head-on droplet collision [12] and moving contact lines [13] [14] (see [7] for an extensive review).”
A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities (2010, background): “In recent years, the diffuse interface approach, whose origin can be traced back to [21] and [27], has been successfully used to model two-phase incompressible fluids under various situations (cf. [10] [1] [15] [11] [13] [29] and the references therein).”
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows (2017, positive): “The Allen–Cahn [2] and Cahn–Hilliard equations [13, 14] are widely used in the study of interfacial dynamics [2, 62, 4, 42, 46, 52, 53, 76, 1].”
Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows (2015, background): “[15, 3, 25, 17, 22, 43], the recent review papers [30, 19], and the references therein).”
Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows (2010, neutral): “[11, 2, 16, 12, 15, 26] and the references therein).”
Cahn–Hilliard/Navier–Stokes Model for the Simulation of Three-Phase Flows (2010, background): “Direct simulations with diffuse interface models (see for instance the review in [1]) in the case of two-phase flows have proven to be very useful to answer fundamental questions concerning the different occurring mechanisms (see for examples [2,7,22]).”
Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing (2006, methodology): “[10,12] have shown how the model can be extended to non-Newtonian fluids.”
A fractional phase-field model for two-phase flows with tunable sharpness: Algorithms and simulations (2016, methodology): “Following the method in [9], we consider a one-dimensional model.”