Phase field modeling and simulation of three-phase flows

By Junseok Kim, John S. Lowengrub. 2005

192 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Mechanics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/9cc7743e548e2a1803517abc3a91f226f31ff6a7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atmospheric Science

In Computational Mechanics

In Materials Chemistry

Citations in the corpus

The phase field method for geometric moving interfaces and their numerical approximations (2019, unknown): “Mathematical models of this kind include the celebrated Ginzburg-Landau models of superconductivity, Landau-deGennes model for liquid crystal flow, generalized Ohta-Kawasaki model of diblock and triblock copolymers, among others [128, 147, 287, 343, 352, 407].”
Three-dimensional multispecies nonlinear tumor growth--I Model and numerical method. (2008, background): “Examples of energies that account for different interactions among multiple components can be found in the context of multiphase flows (e.g., see the treatment of three-phase flows in Kim and Lowengrub, 2005).”
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method (2017, result): “We remark that all numerical results are qualitatively consistent with the computation results obtained in [6, 28].”
Cahn–Hilliard/Navier–Stokes Model for the Simulation of Three-Phase Flows (2010, background): “which have studied how to generalize the coupling between such multi-component Cahn-Hilliard models and the Navier-Stokes equations and how to implement efficient numerical solvers (see [17,15,16]).”
Phase-Field Models for Multi-Component Fluid Flows (2012, methodology): “The variable density can be defined as ρ(c) = (∑(4)i=1ci/ρi) −1 and ρi is the i-th fluid density [64].”
Numerical schemes for a three component Cahn-Hilliard model (2011, unknown): “Generalizations of diffuse-interface models to any number of components have been recently introduced and studied as well as associated numerical methods and simulations, see for instance [1,4,6,8,14,15,21–23,25,27,28].”
Study of a three component Cahn-Hilliard flow model (2006, unknown): “Non-consistent case Non-consistent case Consistent case model proposed in [20] our model with F = F̃0 our model with F = F0 Figure 5.”
The Cahn-Hilliard Equation with Logarithmic Potentials (2011, methodology): “We finally mention the coupling of the Cahn-Hilliard equation with the Navier-Stokes equations in the context of two-phase (multiphase) flows (see [1], [2], [28], [29], [30], [31], [33], [42], [55], [98], [99], [133], [137], [142], [145], [147], [155], [156], [213] and [215]).”
A practically unconditionally gradient stable scheme for the N-component Cahn-Hilliard system (2012, methodology): “The fluid dynamics is described by the Navier–Stokes–Cahn–Hilliard (NSCH) equations [3,7,9–13,30,46,48,56,68–70]:”
Phase field computations for ternary fluid flows (2007, methodology): “There have been few theoretical and numerical studies of flows containing three liquid components [5,22,29] as compared to a large body of research on two-phase fluid flows.”