Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng--Robinson Equation of State

An adaptive finite element method for simulating surface tension with the gradient theory of fluid interfaces

(2013) Jisheng Kou et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

An adaptive time-stepping strategy for solving the phase field crystal model

(2013) Zhengru Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

(2012) Zhengru Zhang et al.   Communications in Computational Physics

Modeling of the surface tension of pure components and mixtures using the density gradient theory combined with a theoretically derived influence parameter correlation

(2012) B. Breure et al.   FLUID PHASE EQUILIBRIA

A finite element method for the numerical solution of the coupled Cahn–Hilliard and Navier–Stokes system for moving contact line problems

(2012) Kai Bao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On linear schemes for a Cahn–Hilliard diffuse interface model

(2012) F. Guillén-González et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

(2012) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Mixing from Fickian diffusion and natural convection in binary non-equilibrium fluid phases

(2011) L. Rongy et al.   AICHE JOURNAL

Predicting CO2–water interfacial tension under pressure and temperature conditions of geologic CO2 storage

(2011) Laura C. Nielsen et al.   GEOCHIMICA ET COSMOCHIMICA ACTA

Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

(2011) Hector Gomez et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection

(2011) Wenbin Chen et al.   JOURNAL OF SCIENTIFIC COMPUTING

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

(2011) C. Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models

(2011) Zhonghua Qiao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Compositional modeling of three-phase flow with gravity using higher-order finite element methods

(2011) Joachim Moortgat et al.   WATER RESOURCES RESEARCH

Unconditionally stable schemes for equations of thin film epitaxy

(2010) Steven Wise et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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

Composition at the interface between multicomponent nonequilibrium fluid phases

(2009) Kjetil B. Haugen et al.   JOURNAL OF CHEMICAL PHYSICS

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

(2009) S. M. Wise et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Multiscale Discontinuous Galerkin and Operator-Splitting Methods for Modeling Subsurface Flow and Transport

(2008) Shuyu Sun et al.   International Journal for Multiscale Computational Engineering