[PDF][PDF] A brief review of the phase-field-based lattice Boltzmann method for multiphase flows
In this paper, we present a brief overview of the phase-field-based lattice Boltzmann method
(LBM) that is a distinct and efficient numerical algorithm for multiphase flow problems. We …
(LBM) that is a distinct and efficient numerical algorithm for multiphase flow problems. We …
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
Abstract The Molecular Beam Epitaxial model is derived from the variation of a free energy,
that consists of either a fourth order Ginzburg–Landau double well potential or a nonlinear …
that consists of either a fourth order Ginzburg–Landau double well potential or a nonlinear …
Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
How to develop efficient numerical schemes while preserving energy stability at the discrete
level is challenging for the three-component Cahn–Hilliard phase-field model. In this paper …
level is challenging for the three-component Cahn–Hilliard phase-field model. In this paper …
Linear and unconditionally energy stable schemes for the binary fluid–surfactant phase field model
In this paper, we consider the numerical solution of a binary fluid–surfactant phase field
model, in which the free energy contains a nonlinear coupling entropy, a Ginzburg–Landau …
model, in which the free energy contains a nonlinear coupling entropy, a Ginzburg–Landau …
Interacting ions in Biophysics: Real is not ideal
B Eisenberg - Biophysical journal, 2013 - cell.com
Ions in water are important throughout biology, from molecules to organs. Classically, ions in
water were treated as ideal noninteracting particles in a perfect gas. Excess free energy of …
water were treated as ideal noninteracting particles in a perfect gas. Excess free energy of …
Three dimensional phase-field investigation of droplet formation in microfluidic flow focusing devices with experimental validation
In this paper, the droplet formation process at a low capillary number in a flow focusing micro-
channel is studied by performing a three-dimensional phase field benchmark based on the …
channel is studied by performing a three-dimensional phase field benchmark based on the …
Decoupled, linear, and energy stable finite element method for the Cahn--Hilliard--Navier--Stokes--Darcy phase field model
In this paper, we consider the numerical approximation for a phase field model of the
coupled two-phase free flow and two-phase porous media flow. This model consists of Cahn …
coupled two-phase free flow and two-phase porous media flow. This model consists of Cahn …
A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters
L Dong, C Wang, H Zhang, Z Zhang - arXiv preprint arXiv:2004.03371, 2020 - arxiv.org
We present and analyze a new second-order finite difference scheme for the
Macromolecular Microsphere Composite hydrogel, Time-Dependent Ginzburg-Landau …
Macromolecular Microsphere Composite hydrogel, Time-Dependent Ginzburg-Landau …
[HTML][HTML] Linear, second order and unconditionally energy stable schemes for the viscous Cahn–Hilliard equation with hyperbolic relaxation using the invariant energy …
In this paper, we consider numerical approximations for the viscous Cahn–Hilliard equation
with hyperbolic relaxation. This type of equations processes energy-dissipative structure …
with hyperbolic relaxation. This type of equations processes energy-dissipative structure …
Decoupled energy stable schemes for phase-field models of two-phase complex fluids
We consider in this paper numerical approximations of phase-field models for two-phase
complex fluids. We first reformulate the phase-field models derived from an energetic …
complex fluids. We first reformulate the phase-field models derived from an energetic …