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

Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard Model

(2019) Chuanjun Chen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Unconditionally energy stable large time stepping method for the L2-gradient flow based ternary phase-field model with precise nonlocal volume conservation

(2019) Jun Zhang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model

(2019) Jun Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The scalar auxiliary variable (SAV) approach for gradient flows

(2018) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Unconditionally energy stable numerical schemes for phase-field vesicle membrane model

(2018) F. Guillén-González et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

Error estimates for time discretizations of Cahn–Hilliard and Allen–Cahn phase-field models for two-phase incompressible flows

(2017) Yongyong Cai et al.   NUMERISCHE MATHEMATIK

Stability analysis of pressure correction schemes for the Navier–Stokes equations with traction boundary conditions

(2016) Sanghyun Lee et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Efficient and stable exponential time differencing Runge–Kutta methods for phase field elastic bending energy models

(2016) Xiaoqiang Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Efficient energy stable numerical schemes for a phase field moving contact line model

(2015) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Decoupled energy stable schemes for phase-field vesicle membrane model

(2015) Rui Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn–Hilliard–Navier–Stokes equation

(2015) Daozhi Han et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

A finite element pressure correction scheme for the Navier–Stokes equations with traction boundary condition

(2014) Eberhard Bänsch   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Diffuse interface models of locally inextensible vesicles in a viscous fluid

(2014) Sebastian Aland et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

Axisymmetric simulation of the interaction of a rising bubble with a rigid surface in viscous flow

(2013) Tong Qin et al.   INTERNATIONAL JOURNAL OF MULTIPHASE FLOW

An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model

(2012) Sebastian Minjeaud   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density

(2011) J.-L. Guermond et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

(2010) Jie Shen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Finite element approximation of a Cahn–Hilliard–Navier–Stokes system

(2009) David Kay et al.   INTERFACES AND FREE BOUNDARIES

A phase field model for vesicle–substrate adhesion

(2009) Jian Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A splitting method for incompressible flows with variable density based on a pressure Poisson equation

(2009) J.-L. Guermond et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission

(2009) John S. Lowengrub et al.   PHYSICAL REVIEW E