Fully-decoupled, energy stable second-order time-accurate and finite element numerical scheme of the binary immiscible Nematic-Newtonian model

A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-Nematic model for two-phase complex fluids confined in the Hele-Shaw cell

(2022) Chuanjun Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A new efficient fully-decoupled and second-order time-accurate scheme for Cahn–Hilliard phase-field model of three-phase incompressible flow

(2021) Xiaofeng Yang   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model

(2021) Xiaofeng Yang   JOURNAL OF COMPUTATIONAL PHYSICS

On a novel fully-decoupled, linear and second-order accurate numerical scheme for the Cahn–Hilliard–Darcy system of two-phase Hele–Shaw flow

(2021) Xiaofeng Yang   COMPUTER PHYSICS COMMUNICATIONS

An improved error analysis for a second-order numerical scheme for the Cahn–Hilliard equation

(2020) Jing Guo et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

(2019) Kelong Cheng   Communications in Computational Physics

Three-dimensional coarsening dynamics of a conserved, nematic liquid crystal-isotropic fluid mixture

(2017) Rudimar L. Nós et al.   JOURNAL OF NON-NEWTONIAN FLUID MECHANICS

Convergence analysis and error estimates for a second order accurate finite element method for the Cahn–Hilliard–Navier–Stokes system

(2017) Amanda E. Diegel et al.   NUMERISCHE MATHEMATIK

Numerical approximations to a new phase field model for two phase flows of complex fluids

(2016) Jia Zhao et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids

(2016) Jia Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method

(2016) Kelong Cheng et al.   JOURNAL OF SCIENTIFIC COMPUTING

Error analysis of a mixed finite element method for a Cahn–Hilliard–Hele–Shaw system

(2016) Yuan Liu et al.   NUMERISCHE MATHEMATIK

Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals

(2016) Jia Zhao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation

(2015) Wenbin Chen et al.   MATHEMATICS OF COMPUTATION

Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows

(2015) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Regularity and Existence of Global Solutions to the Ericksen–Leslie System in $${\mathbb{R}^2}$$ R 2

(2014) Jinrui Huang et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Ordering kinetics of a conserved binary mixture with a nematic liquid crystal component

(2014) Matthew Mata et al.   JOURNAL OF NON-NEWTONIAN FLUID MECHANICS

Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids

(2014) Jie Shen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Spontaneous symmetry breaking in active droplets provides a generic route to motility

(2012) E. Tjhung et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Asymptotic behavior for a nematic liquid crystal model with different kinematic transport properties

(2011) Hao Wu et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES

(2011) HELMUT ABELS et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

(2010) Jie Shen et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Dynamic Simulation of Droplet Interaction and Self-Assembly in a Nematic Liquid Crystal

(2008) Chunfeng Zhou et al.   LANGMUIR