Computation of multiphase systems with phase field models

By V. Badalassi, Héctor D. Ceniceros, Sanjoy Banerjee. 2002

645 citations recorded by the source corpus.

Subfields: Computational Mechanics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/26547031ed5f3d9cb3924b4cf3778ca4c13a2b22

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In Computational Mechanics

1. Junseok Kim
2. Qing Liu
3. Qing Li
4. Yangyang He
5. Hang Ding
6. Qinjun Kang
7. John S. Lowengrub
8. Chi-Wang Shu

In Materials Chemistry

1. Junseok Kim
2. John S. Lowengrub
3. Hartmut Löwen
4. Raphael Wittkowski
5. Maurizio Grasselli
6. Qinjun Kang
7. H. Amiri
8. Hang Ding

Citations in the corpus

• Evaluation of level set and phase field methods in modeling two phase flow with viscosity contrast through dual-permeability porous medium (2013, methodology): “…2001), Lattice Boltzman method (Succi, 2001), front tracking method (Unverdi and Tryggvason, 1992), volume of fluid (VOF) method (Hirt and Nichols, 1981), level set method (Osher and Sethian, 1988; Smereka and Sethian, 2003), phase field method (Jacqmin, 1999; Badalassi et al., 2003) and so on.”
• CONSERVATIVE MULTIGRID METHODS FOR TERNARY CAHN-HILLIARD SYSTEMS ∗ (2004, background): “see the recent papers [5], [6], [13] for references).”
• Sharp interface tracking using the phase-field equation (2007, neutral): “While several studies have considered interfacial flows using phase-field methods [22–25,28–33], they have generally not evaluated the numerical issues associated with the discretization of the advection term in the phase-field equation or the extension to conserved phase fields.”
• Phase field computations for ternary fluid flows (2007, methodology): “For example, the volume-of-fluid (VOF) [15,16,26,33], level set method [9,27,30,32], immersed boundary method [14], and phase field method [2,10] are used for the studies of two-component flow.”
• A brief review of the phase-field-based lattice Boltzmann method for multiphase flows (2019, background): “For simplicity, here we only focus on the following NSEs for incompressible fluid flows (Jacqmin, 1999; Kendon et al., 2001; Bandalassi et al., 2003) ∇ ·u = 0 (29) ρ ( ∂u ∂ t +u ·∇u ) =−∇p+∇ · [ ρν(∇u+∇uT ) ] +Fs +G (30) where u denotes the fluid velocity, p is the hydrodynamic pressure, ν…”
• Relative Permeability Calculations from Two-Phase Flow Simulations Directly on Digital Images of Porous Rocks (2012, methodology): “In comparison, direct continuum equation solvers for multiphase flow like the level set (Sussman et al. 1994) and the phase-field (Badalassi et al. 2003) methods rely on auxiliary algorithms to track and handle the fluid interfaces in addition to solving the macroscopic flow equations.”
• Finite element approximation of a Cahn−Hilliard−Navier−Stokes system (2008, background): “The numerical simulation of these models is an area of research currently undergoing intense study (see for example [2, 9, 23, 26, 27]), with the majority of the work so far concentrating on finite difference discretisations.”
• The phase field method for geometric moving interfaces and their numerical approximations (2019, neutral): “Phase field modeling of multiphase flows has been developed by a number of groups along with the development and numerical analysis, see, for instance [2, 315, 25, 29, 140, 225, 189, 236, 313] and the references cited therein.”
• Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview (2012, methodology): “Model H has been used to study spinodal decomposition with and without external velocity fields and Rayleigh-Taylor instabilities [257, 259, 270].”
• Diffuse interface model for incompressible two-phase flows with large density ratios (2007, methodology): “…tracking methods such as volume-of-fluid (VOF) [1] [2], level-set (LS) [3] [4] and front-tracking [5], diffuse interface (DI) methods [6] [7] [8] provide a useful alternative that does not seem to suffer from problems with either mass conservation or the accurate computation of surface…”
• A practically unconditionally gradient stable scheme for the N-component Cahn-Hilliard system (2012, neutral): “The fluid dynamics is described by the Navier–Stokes–Cahn–Hilliard (NSCH) equations [3–5,11–16]:”