Mesoscale models of dispersions stabilized by surfactants and colloids

Advances in Colloid and Interface Science, Vol. 211 (2014), Iss. P.63

A class of monotone and structure-preserving Du Fort-Frankel schemes for nonlinear Allen-Cahn equation

Computers & Mathematics with Applications, Vol. 170 (2024), Iss. P.1

A high-accuracy framework for phase-field fracture interface reconstructions with application to Stokes fluid-filled fracture surrounded by an elastic medium

Computer Methods in Applied Mechanics and Engineering, Vol. 415 (2023), Iss. P.116202

Numerical analysis of fully discrete energy stable weak Galerkin finite element Scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model

Applied Mathematics and Computation, Vol. 410 (2021), Iss. P.126487

Modeling of nanoscale liquid mixture transport by density functional hydrodynamics

Physical Review E, Vol. 95 (2017), Iss. 6

A hybrid variational Allen‐Cahn/ALE scheme for the coupled analysis of two‐phase fluid‐structure interaction

International Journal for Numerical Methods in Engineering, Vol. 117 (2019), Iss. 4 P.405

A phase field model for partially saturated geomaterials describing fluid–fluid displacements, Part II: Stability analysis and two-dimensional simulations

Advances in Water Resources, Vol. 164 (2022), Iss. P.104201

Entropy stable modeling of non-isothermal multi-component diffuse-interface two-phase flows with realistic equations of state

Computer Methods in Applied Mechanics and Engineering, Vol. 341 (2018), Iss. P.221

Linear and unconditionally energy stable schemes for the binary fluid–surfactant phase field model

Computer Methods in Applied Mechanics and Engineering, Vol. 318 (2017), Iss. P.1005

Simulation Study on the Dynamic Behaviors of Water-in-Oil Emulsified Droplets on Coalescing Fibers

Langmuir, Vol. 36 (2020), Iss. 48 P.14872

A conservative level set method for N-phase flows with a free-energy-based surface tension model

Journal of Computational Physics, Vol. 426 (2021), Iss. P.109955

Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density

Journal of Scientific Computing, Vol. 62 (2015), Iss. 2 P.601

COMPARISON OF DIFFERENT NUMERICAL SCHEMES FOR THE CAHN-HILLIARD EQUATION

Journal of the Korea Society for Industrial and Applied Mathematics, Vol. 17 (2013), Iss. 3 P.197

Conservative Allen–Cahn–Navier–Stokes system for incompressible two-phase fluid flows

Computers & Fluids, Vol. 156 (2017), Iss. P.239

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

Computer Methods in Applied Mechanics and Engineering, Vol. 310 (2016), Iss. P.77

Interface velocity correction for improving resolved CFD-DEM simulation of two-phase flow in densely packed granular media

Computers and Geotechnics, Vol. 174 (2024), Iss. P.106639

Some Efficient Precoditioners for the Semi-implicit Systems of the Cahn-Hilliard Equation

2021 International Conference on Electronic Information Technology and Smart Agriculture (ICEITSA), (2021), P.251

Computational Science and Its Applications – ICCSA 2023 Workshops

Simulation of Two-Phase Flow in Models with Micro-porous Material

2023

“Digital Core” Technology and Supercomputer Computing

Herald of the Russian Academy of Sciences, Vol. 93 (2023), Iss. 1 P.18

Phase Field Method for the Assessment of the New-Old Billet Material Interaction during Continuous Extrusion Using COMSOL Multiphysics

Journal of Materials Engineering and Performance, Vol. (2024), Iss.

Stabilized Energy Factorization Approach for Allen–Cahn Equation with Logarithmic Flory–Huggins Potential

Journal of Scientific Computing, Vol. 82 (2020), Iss. 2

A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier

Applied Mathematics Letters, Vol. 126 (2022), Iss. P.107838

A two-derivative time integrator for the Cahn-Hilliard equation

Mathematical Modelling and Analysis, Vol. 29 (2024), Iss. 4 P.714

A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects

Journal of Fluid Mechanics, Vol. 766 (2015), Iss. P.226

Drop impact dynamics of complex fluids: a review

Soft Matter, Vol. 20 (2024), Iss. 25 P.4839

A numerical method for the quasi-incompressible Cahn–Hilliard–Navier–Stokes equations for variable density flows with a discrete energy law

Journal of Computational Physics, Vol. 276 (2014), Iss. P.486

Propagation of capillary waves in two-layer oil–water turbulent flow

Journal of Fluid Mechanics, Vol. 960 (2023), Iss.

A Positivity-Preserving, Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Equation with Logarithmic Potential

Journal of Scientific Computing, Vol. 95 (2023), Iss. 2

Numerical simulation of two-phase flow in porous media using a wavelet based phase-field method

Chemical Engineering Science, Vol. 173 (2017), Iss. P.230

Advances in Computational Modeling and Simulation

Multi-Phase Fluid-Structure Interaction with Diffused Interface Capturing

2022

Computational modeling of calcite cementation in saline limestone aquifers: a phase-field study

Geothermal Energy, Vol. 5 (2017), Iss. 1

Minimum Energy Paths of Wetting Transitions on Grooved Surfaces

Langmuir, Vol. 31 (2015), Iss. 10 P.3059

Modeling multiphase flow using fluctuating hydrodynamics

Physical Review E, Vol. 90 (2014), Iss. 3

Fast local image inpainting based on the Allen–Cahn model

Digital Signal Processing, Vol. 37 (2015), Iss. P.65

Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

International Journal for Numerical Methods in Engineering, Vol. 110 (2017), Iss. 3 P.279

Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods

SIAM Journal on Scientific Computing, Vol. 37 (2015), Iss. 1 P.A271

Molecular Dynamics Simulations of Single Water Nanodroplet Impinging Vertically on Curved Copper Substrate

Microgravity Science and Technology, Vol. 31 (2019), Iss. 6 P.749

Effect of solutal Marangoni convection on motion, coarsening, and coalescence of droplets in a monotectic system

Physical Review E, Vol. 86 (2012), Iss. 6

Fingering and strain localization in porous media during imbibition processes

International Journal for Numerical Methods in Engineering, Vol. 124 (2023), Iss. 16 P.3554

A fully discrete virtual element scheme for the Cahn–Hilliard equation in mixed form

Computer Physics Communications, Vol. 246 (2020), Iss. P.106870

Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines

Communications in Computational Physics, Vol. 21 (2017), Iss. 3 P.867

A Componentwise Convex Splitting Scheme for Diffuse Interface Models with Van der Waals and Peng--Robinson Equations of State

SIAM Journal on Scientific Computing, Vol. 39 (2017), Iss. 1 P.B1

Numerical analysis of energy-minimizing wavelengths of equilibrium states for diblock copolymers

Current Applied Physics, Vol. 14 (2014), Iss. 9 P.1263

Diffuse interface modeling of non‐isothermal Stokes‐Darcy flow with immersed transmissibility conditions

Suh, Hyoung Suk

International Journal for Numerical Methods in Engineering, Vol. 125 (2024), Iss. 24

Homogenization of 2D Cahn–Hilliard–Navier–Stokes system

Journal of Elliptic and Parabolic Equations, Vol. 6 (2020), Iss. 1 P.377

Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations

Numerische Mathematik, Vol. 133 (2016), Iss. 1 P.67

A conservative numerical method for the Cahn–Hilliard equation with Dirichlet boundary conditions in complex domains

Computers & Mathematics with Applications, Vol. 65 (2013), Iss. 1 P.102

Efficient local energy dissipation preserving algorithms for the Cahn–Hilliard equation

Journal of Computational Physics, Vol. 374 (2018), Iss. P.654

Euler force actuation mechanism for siphon valving in compact disk-like microfluidic chips

Biomicrofluidics, Vol. 8 (2014), Iss. 2

Enhanced mixing efficiency and reduced droplet size with novel droplet generators

Kheirkhah Barzoki, Ali

Scientific Reports, Vol. 14 (2024), Iss. 1

Physicochemical hydrodynamics of droplets out of equilibrium

Nature Reviews Physics, Vol. 2 (2020), Iss. 8 P.426

Unconditionally stable methods for simulating multi-component two-phase interface models with Peng–Robinson equation of state and various boundary conditions

Journal of Computational and Applied Mathematics, Vol. 291 (2016), Iss. P.158

An unconditionally stable numerical method for the viscous Cahn--Hilliard equation

Discrete & Continuous Dynamical Systems - B, Vol. 19 (2014), Iss. 6 P.1737

A comparative study of local and nonlocal Allen-Cahn equations with mass conservation

International Journal of Heat and Mass Transfer, Vol. 122 (2018), Iss. P.631

Driving Waveform Optimization by Simulation and Numerical Analysis for Suppressing Oil-Splitting in Electrowetting Displays

Frontiers in Physics, Vol. 9 (2021), Iss.

Efficient numerical methods for simulating surface tension of multi-component mixtures with the gradient theory of fluid interfaces

Computer Methods in Applied Mechanics and Engineering, Vol. 292 (2015), Iss. P.92

Diffuse interface method for a compressible binary fluid

Physical Review E, Vol. 93 (2016), Iss. 1

Simplified conservative discretization of the Cahn-Hilliard-Navier-Stokes equations

Journal of Computational Physics, Vol. 519 (2024), Iss. P.113382

A simplified lattice Boltzmann model for two-phase electro-hydrodynamics flows and its application to simulations of droplet deformation in electric field

Applied Mathematical Modelling, Vol. 122 (2023), Iss. P.99

The numerical simulation of behaviors of oil-water-emulsion flow in pores by using phase field method

Petroleum Science and Technology, Vol. (2023), Iss. P.1

A phase-field method for the direct simulation of two-phase flows in pore-scale media using a non-equilibrium wetting boundary condition

Computational Geosciences, Vol. 20 (2016), Iss. 5 P.881

A unified pipe-network-based numerical manifold method for simulating immiscible two-phase flow in geological media

Journal of Hydrology, Vol. 568 (2019), Iss. P.119

Impact Characteristics of a Carbonated Water Droplet on Hydrophobic Surface

Journal of Fluids Engineering, Vol. 144 (2022), Iss. 1

Numerical approximation of SAV finite difference method for the Allen–Cahn equation

International Journal of Modeling, Simulation, and Scientific Computing, Vol. 14 (2023), Iss. 05

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

Yang, Xiaofeng

Journal of Computational Physics, Vol. 327 (2016), Iss. P.294

Numerical simulation for multi-phase fluids considering different densities with continuous finite element method

Journal of Physics: Conference Series, Vol. 1053 (2018), Iss. P.012014

Modeling two-phase flows with complicated interface evolution using parallel physics-informed neural networks

Physics of Fluids, Vol. 36 (2024), Iss. 9

Two-phase flow simulation algorithm for numerical estimation of relative phase permeability curves of porous materials

Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 39 (2024), Iss. 4 P.209

Numerical solution of coupled Cahn–Hilliard Navier–Stokes equations for two‐phase flows having variable density and viscosity

Mathematical Methods in the Applied Sciences, Vol. (2023), Iss.

A versatile lattice Boltzmann model for immiscible ternary fluid flows

Physics of Fluids, Vol. 31 (2019), Iss. 1

Numerical study of buoyancy induced arrest of viscous coarsening

Henry, Hervé

Physics of Fluids, Vol. 35 (2023), Iss. 1

Surface embedding narrow volume reconstruction from unorganized points

Computer Vision and Image Understanding, Vol. 121 (2014), Iss. P.100

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

Journal of Computational Physics, Vol. 305 (2016), Iss. P.539

COMPARISON OF NUMERICAL METHODS FOR TERNARY FLUID FLOWS: IMMERSED BOUNDARY, LEVEL-SET, AND PHASE-FIELD METHODS

Journal of the Korea Society for Industrial and Applied Mathematics, Vol. 20 (2016), Iss. 1 P.83

A framework for interpreting the coarsening and structural evolution of two co‐continuous immiscible viscous fluids

McMaster, Lee P.

AIChE Journal, Vol. 62 (2016), Iss. 11 P.4140

Modeling of unsteady flows of multiphase viscous fluid in a pore space

Interexpo GEO-Siberia, Vol. 2 (2022), Iss. 2 P.32

Decoupled and energy stable schemes for phase-field surfactant model based on mobility operator splitting technique

Journal of Computational and Applied Mathematics, Vol. 459 (2025), Iss. P.116365

A consistent and conservative Phase-Field method for multiphase incompressible flows

Journal of Computational and Applied Mathematics, Vol. 408 (2022), Iss. P.114116

Modeling and simulation of dynamics of three-component flows on solid surface

Japan Journal of Industrial and Applied Mathematics, Vol. 31 (2014), Iss. 3 P.611

Simulation of the two-dimensional Rayleigh-Taylor instability problem by using diffuse-interface model

AIP Advances, Vol. 9 (2019), Iss. 8

Phase-field-based lattice Boltzmann finite-difference model for simulating thermocapillary flows

Physical Review E, Vol. 87 (2013), Iss. 1

Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Vol. 33 (2016), Iss. 6 P.1431

A phase‐field based model for coupling two‐phase flow with the motion of immersed rigid bodies

International Journal for Numerical Methods in Engineering, Vol. 123 (2022), Iss. 16 P.3757

A diffuse interface model for two-phase incompressible flows with non-local interactions and non-constant mobility

Nonlinearity, Vol. 28 (2015), Iss. 5 P.1257

The subdivision-based IGA-EIEQ numerical scheme for the binary surfactant Cahn–Hilliard phase-field model on complex curved surfaces

Computer Methods in Applied Mechanics and Engineering, Vol. 406 (2023), Iss. P.115905

A variational interface-preserving and conservative phase-field method for the surface tension effect in two-phase flows

Journal of Computational Physics, Vol. 433 (2021), Iss. P.110166

Phase-field modeling and computer simulation of the coffee-ring effect

Theoretical and Computational Fluid Dynamics, Vol. 34 (2020), Iss. 5-6 P.679

Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields

Communications in Nonlinear Science and Numerical Simulation, Vol. 85 (2020), Iss. P.105213

A mass conserving level set method for detailed numerical simulation of liquid atomization

Journal of Computational Physics, Vol. 298 (2015), Iss. P.495

Modeling of Droplet Impact onto Polarized and Nonpolarized Dielectric Surfaces

Langmuir, Vol. 34 (2018), Iss. 34 P.10169

A semi-analytical method to estimate the effective slip length of spreading spherical-cap shaped droplets using Cox theory

Fluid Dynamics Research, Vol. 50 (2018), Iss. 3 P.035501

Efficiently energy-dissipation-preserving ADI methods for solving two-dimensional nonlinear Allen-Cahn equation

Computers & Mathematics with Applications, Vol. 128 (2022), Iss. P.249

Laminar drag reduction ability of liquid-infused microchannels by considering different infused lubricants

The Journal of Chemical Physics, Vol. 158 (2023), Iss. 7

Multiphase Allen–Cahn and Cahn–Hilliard models and their discretizations with the effect of pairwise surface tensions

Journal of Computational Physics, Vol. 343 (2017), Iss. P.10

A consistent and conservative Phase-Field method for compressible multiphase flows with shocks

Journal of Computational Physics, Vol. 488 (2023), Iss. P.112195

A unified numerical model for wetting of soft substrates

International Journal for Numerical Methods in Engineering, Vol. 122 (2021), Iss. 4 P.903

Heuristic and Eulerian interface capturing approaches for shallow water type flow and application to granular flows

Computer Methods in Applied Mechanics and Engineering, Vol. 304 (2016), Iss. P.243

On power law scaling dynamics for time-fractional phase field models during coarsening

Communications in Nonlinear Science and Numerical Simulation, Vol. 70 (2019), Iss. P.257

Optimal Distributed Control of a Nonlocal Cahn--Hilliard/Navier--Stokes System in Two Dimensions

SIAM Journal on Control and Optimization, Vol. 54 (2016), Iss. 1 P.221

Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models

Computer Physics Communications, Vol. 249 (2020), Iss. P.107033

Unconditional energy stability and maximum principle preserving scheme for the Allen-Cahn equation

Numerical Algorithms, Vol. (2024), Iss.

Lattice Boltzmann method for interface capturing

Physical Review E, Vol. 107 (2023), Iss. 2

Unconditional MBP preservation and energy stability of the stabilized exponential time differencing schemes for the vector-valued Allen–Cahn equations

Communications in Nonlinear Science and Numerical Simulation, Vol. 139 (2024), Iss. P.108271

Energy stable multigrid method for local and non-local hydrodynamic models for freezing

Computer Methods in Applied Mechanics and Engineering, Vol. 299 (2016), Iss. P.22

A coupled phase–field and volume-of-fluid method for accurate representation of limiting water wave deformation

Journal of Computational Physics, Vol. 321 (2016), Iss. P.459

A conservative Allen–Cahn equation with a space–time dependent Lagrange multiplier

International Journal of Engineering Science, Vol. 84 (2014), Iss. P.11

3D phase field modeling of electrohydrodynamic multiphase flows

International Journal of Multiphase Flow, Vol. 57 (2013), Iss. P.1

Phase-field theory of multicomponent incompressible Cahn-Hilliard liquids

Physical Review E, Vol. 93 (2016), Iss. 1

Hybrid particle-phase field model and renormalized surface tension in dilute suspensions of nanoparticles

Physical Review E, Vol. 110 (2024), Iss. 4

Spatio-temporal error coupling and competition in meso-flux construction of discrete unified gas-kinetic scheme

Computers & Fluids, Vol. 244 (2022), Iss. P.105537

General vorticity‐streamfunction formulation for incompressible binary flow with arbitrary density ratio

International Journal for Numerical Methods in Fluids, Vol. 96 (2024), Iss. 4 P.561

A locally conservative multiphase level set method for capillary-controlled displacements in porous media

Journal of Computational Physics, Vol. 428 (2021), Iss. P.109965

Numerical study on solutal Marangoni instability in finite systems with a miscibility gap

Physics of Fluids, Vol. 26 (2014), Iss. 12

Analytical and numerical dissipativity for the space-fractional Allen–Cahn equation

Mathematics and Computers in Simulation, Vol. 207 (2023), Iss. P.80

Modeling of Oil/Water Interfacial Dynamics in Three-Dimensional Bistable Electrowetting Display Pixels

ACS Omega, Vol. 5 (2020), Iss. 10 P.5326

A conservative second order phase field model for simulation of N-phase flows

Journal of Computational Physics, Vol. 498 (2024), Iss. P.112657

Electro‐capillary filling in a microchannel under the influence of magnetic and electric fields

The Canadian Journal of Chemical Engineering, Vol. 99 (2021), Iss. 3 P.725

Advances in Mathematics and Applications

Phase Field: A Methodology to Model Complex Material Behavior

Boldrini, José Luiz

2018

Bubble rising and interaction in ternary fluid flow: a phase field study

RSC Advances, Vol. 13 (2023), Iss. 6 P.3561

Modeling Refugee Movement Based on a Continuum Mechanics Phase-Field Approach of Porous Media

SIAM Journal on Applied Mathematics, Vol. 81 (2021), Iss. 5 P.2061

Unconditionally Energy Stable Linear Schemes for the Diffuse Interface Model with Peng–Robinson Equation of State

Journal of Scientific Computing, Vol. 75 (2018), Iss. 2 P.993

Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects

Applicable Analysis, Vol. 101 (2022), Iss. 12 P.4171

Linear unconditional energy‐stable splitting schemes for a phase‐field model for nematic–isotropic flows with anchoring effects

International Journal for Numerical Methods in Engineering, Vol. 108 (2016), Iss. 6 P.535

On the motion of droplets driven by solutal Marangoni convection in alloy systems with a miscibility gap

Physica D: Nonlinear Phenomena, Vol. 307 (2015), Iss. P.82

Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect

Communications in Computational Physics, Vol. 14 (2013), Iss. 2 P.477

Spinodal Decomposition in the Chemistry and Technology of Inorganic Materials

Inorganic Materials, Vol. 58 (2022), Iss. 7 P.673

Viscous stress approximations in diffuse interface methods for two-phase flow based on mechanical jump conditions

Computer Methods in Applied Mechanics and Engineering, Vol. 432 (2024), Iss. P.117341

Maximum principle preserving and unconditionally stable scheme for a conservative Allen–Cahn equation

Engineering Analysis with Boundary Elements, Vol. 150 (2023), Iss. P.111

Thermodynamically Consistent Models for Coupled Bulk and Surface Dynamics

Entropy, Vol. 24 (2022), Iss. 11 P.1683

A practical and efficient numerical method for the Cahn–Hilliard equation in complex domains

Communications in Nonlinear Science and Numerical Simulation, Vol. 73 (2019), Iss. P.217

Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model

Computer Methods in Applied Mechanics and Engineering, Vol. 315 (2017), Iss. P.691

Wall-bounded multiphase flows of N immiscible incompressible fluids: Consistency and contact-angle boundary condition

Dong, S.

Journal of Computational Physics, Vol. 338 (2017), Iss. P.21

Modeling Pore-Scale Two-Phase Flow: How to Avoid Gas-Channeling Phenomena in Micropacked-Bed Reactors via Catalyst Wettability Modification

Industrial & Engineering Chemistry Research, Vol. 57 (2018), Iss. 1 P.84

Phase-field modeling of isothermal quasi-incompressible multicomponent liquids

Tóth, Gyula I.

Physical Review E, Vol. 94 (2016), Iss. 3

Analysis of Ginzburg-Landau-type models of surfactant-assisted liquid phase separation

Physical Review E, Vol. 91 (2015), Iss. 3

Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception

Computer Methods in Applied Mechanics and Engineering, Vol. 415 (2023), Iss. P.116228

A compact fourth-order finite difference scheme for the three-dimensional Cahn–Hilliard equation

Computer Physics Communications, Vol. 200 (2016), Iss. P.108

A study of the barotropic quasi-hydrodynamic model for the two-phase mixture involving surface effects

Keldysh Institute Preprints, Vol. (2016), Iss. 89 P.1

Dry granular column collapse: Numerical simulations using the partially regularized μ(I)-model via stabilized finite elements and phase field formulation

International Journal of Multiphase Flow, Vol. 182 (2025), Iss. P.105023

Energy stable and mass conservative numerical method for a generalized hydrodynamic phase-field model with different densities

Physics of Fluids, Vol. 32 (2020), Iss. 11

Safeguarding against Inactivation Temperatures during Plasma Treatment of Skin: Multiphysics Model and Phase Field Method

Mathematical and Computational Applications, Vol. 22 (2017), Iss. 1 P.24

Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations

Journal of Scientific Computing, Vol. 72 (2017), Iss. 3 P.1214

A Discontinuous Galerkin Finite Element Framework for the Direct Numerical Simulation of Flow on High-Resolution Pore-Scale Images

Day 1 Mon, February 20, 2017, (2017),

An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods

Journal of Colloid and Interface Science, Vol. 523 (2018), Iss. P.282

Multiphase flows of N immiscible incompressible fluids: An outflow/open boundary condition and algorithm

Journal of Computational Physics, Vol. 366 (2018), Iss. P.33

Nonlinear Multigrid Implementation for the Two-Dimensional Cahn–Hilliard Equation

Mathematics, Vol. 8 (2020), Iss. 1 P.97

Nonisothermal conservative phase-field model for electric breakdown process

Keldysh Institute Preprints, Vol. (2021), Iss. 19 P.1

Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen–Cahn equation

Numerical Analysis and Applications, Vol. 10 (2017), Iss. 2 P.177

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

SIAM Journal on Scientific Computing, Vol. 36 (2014), Iss. 1 P.B122

Predicting biofilm deformation with a viscoelastic phase‐field model: Modeling and experimental studies

Biotechnology and Bioengineering, Vol. 117 (2020), Iss. 11 P.3486

Nonisothermal Diffuse Interface Model of the Electrical Breakdown Channel Propagation

Journal of Applied and Industrial Mathematics, Vol. 16 (2022), Iss. 1 P.45

Adaptive interface thickness based mobility—Phase-field method for incompressible fluids

International Journal of Multiphase Flow, Vol. 142 (2021), Iss. P.103687

Porous Three-Dimensional Scaffold Generation for 3D Printing

Mathematics, Vol. 8 (2020), Iss. 6 P.946

A Simple Benchmark Problem for the Numerical Methods of the Cahn–Hilliard Equation

Discrete Dynamics in Nature and Society, Vol. 2021 (2021), Iss. P.1

Numerical study on the wettability dependent interaction of a rising bubble with a periodic open cellular structure

Catalysis Today, Vol. 273 (2016), Iss. P.151

Droplet impact simulation with Cahn–Hilliard phase field method coupling Navier-slip boundary and dynamic contact angle model

Physics of Fluids, Vol. 36 (2024), Iss. 4

A phase-field study on polymerization-induced phase separation occasioned by diffusion and capillary flow—a mechanism for the formation of porous microstructures in membranes

Journal of Sol-Gel Science and Technology, Vol. 94 (2020), Iss. 2 P.356

An adaptive variational procedure for the conservative and positivity preserving Allen–Cahn phase-field model

Journal of Computational Physics, Vol. 366 (2018), Iss. P.478

An efficient and physically consistent numerical method for the Maxwell–Stefan–Darcy model of two‐phase flow in porous media

International Journal for Numerical Methods in Engineering, Vol. 124 (2023), Iss. 3 P.546

Instability of a liquid sheet with viscosity contrast in inertial microfluidics

The European Physical Journal E, Vol. 44 (2021), Iss. 11

Martingale solutions to stochastic nonlocal Cahn–Hilliard–Navier–Stokes systems with singular potentials driven by multiplicative noise of jump type

Random Operators and Stochastic Equations, Vol. 32 (2024), Iss. 3 P.267

Mass conservative lattice Boltzmann scheme for a three-dimensional diffuse interface model with Peng-Robinson equation of state

Physical Review E, Vol. 98 (2018), Iss. 2

An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media

Journal of Computational Physics, Vol. 400 (2020), Iss. P.108948

A Linear Unconditionally Stable Scheme for the Incompressible Cahn–Hilliard–Navier–Stokes Phase-Field Model

Bulletin of the Iranian Mathematical Society, Vol. 48 (2022), Iss. 4 P.1991

Unconditionally maximum principle-preserving linear method for a mass-conserved Allen–Cahn model with local Lagrange multiplier

Communications in Nonlinear Science and Numerical Simulation, Vol. 139 (2024), Iss. P.108327

Global sharp interface limit of the Hele–Shaw–Cahn–Hilliard system

Fei, Mingwen

Mathematical Methods in the Applied Sciences, Vol. 40 (2017), Iss. 3 P.833

Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes

Numerical Algorithms, Vol. 95 (2024), Iss. 4 P.1981

Study on the Clear Boundary Determination from Results of the Phase Field Design Method

International Journal of Precision Engineering and Manufacturing, Vol. 20 (2019), Iss. 9 P.1553

On an Inviscid Model for Incompressible Two-Phase Flows with Nonlocal Interaction

Gal, Ciprian G.

Journal of Mathematical Fluid Mechanics, Vol. 18 (2016), Iss. 4 P.659

Global weak solutions to a Navier–Stokes–Cahn–Hilliard system with chemotaxis and singular potential

He, Jingning

Nonlinearity, Vol. 34 (2021), Iss. 4 P.2155

Numerical modeling and analysis of coaxial electrohydrodynamic jet printing

Scientific Reports, Vol. 12 (2022), Iss. 1

Discrete unified gas-kinetic scheme for the conservative Allen-Cahn equation

Physical Review E, Vol. 105 (2022), Iss. 4

Phase-field simulation of Rayleigh instability on a fibre

International Journal of Multiphase Flow, Vol. 105 (2018), Iss. P.84

Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

Mathematical Models and Methods in Applied Sciences, Vol. 27 (2017), Iss. 11 P.1993

Maximum Spreading of Urea Water Solution during Drop Impingement

Chemical Engineering & Technology, Vol. 42 (2019), Iss. 11 P.2419

Turbulent drag reduction by compliant lubricating layer

Journal of Fluid Mechanics, Vol. 863 (2019), Iss.

The scalar auxiliary variable (SAV) approach for gradient flows

Journal of Computational Physics, Vol. 353 (2018), Iss. P.407

Prediction of Water Activity in Aqueous Polyol Solutions

Chemie Ingenieur Technik, Vol. 87 (2015), Iss. 10 P.1327

A computational model for transport of immiscible scalars in two-phase flows

Journal of Computational Physics, Vol. 476 (2023), Iss. P.111843

Dynamic modelling of micro/nano-patterning transfer by an electric field

RSC Advances, Vol. 3 (2013), Iss. 46 P.24658

Local volume-conservation-improved diffuse interface model for simulation of Rayleigh–Plateau fluid instability

Computer Physics Communications, Vol. 296 (2024), Iss. P.109050

Efficient and energy stable scheme for the hydrodynamically coupled three components Cahn-Hilliard phase-field model using the stabilized-Invariant Energy Quadratization (S-IEQ) Approach

Yang, Xiaofeng

Journal of Computational Physics, Vol. 438 (2021), Iss. P.110342

Multi-phase-field modeling using a conservative Allen–Cahn equation for multiphase flow

Computers & Fluids, Vol. 178 (2019), Iss. P.141

A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems

Numerical Algorithms, Vol. 81 (2019), Iss. 4 P.1235

Postprocessing Mixed Finite Element Methods For Solving Cahn–Hilliard Equation: Methods and Error Analysis

Journal of Scientific Computing, Vol. 67 (2016), Iss. 2 P.724

Accurate Conservative Phase-Field Method for Simulation of Two-Phase Flows

Jain, Suhas S.

SSRN Electronic Journal , Vol. (2022), Iss.

Lattice Boltzmann methods for multiphase flow and phase-change heat transfer

Progress in Energy and Combustion Science, Vol. 52 (2016), Iss. P.62

The collision of immiscible droplets in three-phase liquid systems: A numerical study using phase-field lattice Boltzmann method

Chemical Engineering Research and Design, Vol. 178 (2022), Iss. P.289

The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations

Engineering Analysis with Boundary Elements, Vol. 78 (2017), Iss. P.49

A ternary phase‐field model for wetting of soft elastic structures

International Journal for Numerical Methods in Engineering, Vol. 122 (2021), Iss. 16 P.4114

Cahn–Hilliard–Navier–Stokes systems with moving contact lines

Calculus of Variations and Partial Differential Equations, Vol. 55 (2016), Iss. 3

Numerical Methods for a Multicomponent Two-Phase Interface Model with Geometric Mean Influence Parameters

SIAM Journal on Scientific Computing, Vol. 37 (2015), Iss. 4 P.B543

Comparative experimental and numerical study of mixing efficiency in 3D-printed microfluidic droplet generators: T junction, cross junction, and asymmetric junctions with varying angles

Chemical Engineering and Processing - Process Intensification, Vol. 205 (2024), Iss. P.110002

An unconditionally stable second-order accurate method for systems of Cahn–Hilliard equations

Communications in Nonlinear Science and Numerical Simulation, Vol. 87 (2020), Iss. P.105276

Consistency-enhanced SAV BDF2 time-marching method with relaxation for the incompressible Cahn–Hilliard–Navier–Stokes binary fluid model

Communications in Nonlinear Science and Numerical Simulation, Vol. 118 (2023), Iss. P.107055

A phase field numerical study of 3D bubble rising in viscous fluids under an electric field

International Journal of Heat and Mass Transfer, Vol. 78 (2014), Iss. P.820

Numerical Methods for Solving the Cahn–Hilliard Equation and Its Applicability to Related Energy-Based Models

Archives of Computational Methods in Engineering, Vol. 22 (2015), Iss. 2 P.269

Nonequilibrium thermodynamic modeling of ternary fluid flows

International Journal of Multiphase Flow, Vol. 111 (2019), Iss. P.310

Error Analysis of a Decoupled, Linear Stabilization Scheme for the Cahn–Hilliard Model of Two-Phase Incompressible Flows

Journal of Scientific Computing, Vol. 83 (2020), Iss. 3

Pore-Scale Modeling of CO2 Injection Using Density Functional Hydrodynamics

Transport in Porous Media, Vol. 151 (2024), Iss. 4 P.753

Multiphase flows of N immiscible incompressible fluids: A reduction-consistent and thermodynamically-consistent formulation and associated algorithm

Dong, S.

Journal of Computational Physics, Vol. 361 (2018), Iss. P.1

Transcritical diffuse-interface hydrodynamics of propellants in high-pressure combustors of chemical propulsion systems

Progress in Energy and Combustion Science, Vol. 82 (2021), Iss. P.100877

“Digital Core” Technology and Supercomputer Computing

Вестник Российской академии наук, Vol. 93 (2023), Iss. 6 P.503

A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

SIAM Review, Vol. 61 (2019), Iss. 3 P.474

Mass-conservation-improved phase field methods for turbulent multiphase flow simulation

Acta Mechanica, Vol. 230 (2019), Iss. 2 P.683

A viscoelastic two-phase solver using a phase-field approach

Journal of Non-Newtonian Fluid Mechanics, Vol. 284 (2020), Iss. P.104364

An authenticated theoretical modeling of electrified fluid jet in core–shell nanofibers production

Journal of Industrial Textiles, Vol. 47 (2018), Iss. 7 P.1791

A fourth-order spatial accurate and practically stable compact scheme for the Cahn–Hilliard equation

Physica A: Statistical Mechanics and its Applications, Vol. 409 (2014), Iss. P.17

A consistent and conservative phase-field method for compressible N-phase flows: Consistent limiter and multiphase reduction-consistent formulation

Journal of Computational Physics, Vol. 501 (2024), Iss. P.112801

High-order discontinuous Galerkin approximation for a three-phase incompressible Navier–Stokes/Cahn–Hilliard model

Computers & Fluids, Vol. 244 (2022), Iss. P.105545

On the search of rigorous thermo-kinetic model for wet phase inversion technique

Journal of Membrane Science, Vol. 538 (2017), Iss. P.18

A linear convex splitting scheme for the Cahn–Hilliard equation with a high‐order polynomial free energy

International Journal for Numerical Methods in Engineering, Vol. 124 (2023), Iss. 17 P.3586

Mixed bounce-back boundary scheme of the general propagation lattice Boltzmann method for advection-diffusion equations

Physical Review E, Vol. 99 (2019), Iss. 6

Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier–Stokes–Cahn–Hilliard system: Primitive variable and projection-type schemes

Computer Methods in Applied Mechanics and Engineering, Vol. 326 (2017), Iss. P.144

Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2

Efficient and accurate structure preserving schemes for complex nonlinear systems

Shen, Jie

2019

Advected phase-field method for bounded solution of the Cahn–Hilliard Navier–Stokes equations

Physics of Fluids, Vol. 33 (2021), Iss. 5

Fast and efficient narrow volume reconstruction from scattered data

Pattern Recognition, Vol. 48 (2015), Iss. 12 P.4057

A 3D conservative level set model to simulate drop impact with phase change onto solid surfaces

International Journal of Multiphase Flow, Vol. 169 (2023), Iss. P.104615

Finite-dimensional global attractor of the Cahn–Hilliard–Brinkman system

Journal of Mathematical Analysis and Applications, Vol. 434 (2016), Iss. 1 P.599

Recovery type a posteriori error estimation of adaptive finite element method for Allen–Cahn equation

Journal of Computational and Applied Mathematics, Vol. 369 (2020), Iss. P.112574

Central moment lattice Boltzmann method using a pressure-based formulation for multiphase flows at high density ratios and including effects of surface tension and Marangoni stresses

Journal of Computational Physics, Vol. 425 (2021), Iss. P.109893

On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure

Applied Numerical Mathematics, Vol. 146 (2019), Iss. P.13

Methodology for the nonlinear coupled multi‐physics simulation of mineral dissolution

International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 45 (2021), Iss. 15 P.2193

Physical formulation and numerical algorithm for simulating N immiscible incompressible fluids involving general order parameters

Dong, S.

Journal of Computational Physics, Vol. 283 (2015), Iss. P.98

A Phase Field Approach to Modeling Heavy Metal Impact in Plasma Spraying

Coatings, Vol. 12 (2022), Iss. 10 P.1383

Efficient, adaptive energy stable schemes for the incompressible Cahn–Hilliard Navier–Stokes phase-field models

Journal of Computational Physics, Vol. 308 (2016), Iss. P.40

On the use of local maximum entropy approximants for Cahn–Hilliard phase-field models in 2D domains and on surfaces

Computer Methods in Applied Mechanics and Engineering, Vol. 346 (2019), Iss. P.1

Modeling the electro-chemo-mechanical failure at the lithium-solid electrolyte interface: Void evolution and lithium penetration

Journal of the Mechanics and Physics of Solids, Vol. 192 (2024), Iss. P.105799

The Allen-Cahn equation with a time Caputo-Hadamard derivative: Mathematical and Numerical Analysis

Communications in Analysis and Mechanics, Vol. 15 (2023), Iss. 4 P.611

Phase-field-theory-based lattice Boltzmann equation method for N immiscible incompressible fluids

Physical Review E, Vol. 99 (2019), Iss. 6

Digital image reduction for the analysis of topological changes in the pore space of rock matrix

Computers and Geotechnics, Vol. 136 (2021), Iss. P.104171

Physical, mathematical, and numerical derivations of the Cahn–Hilliard equation

Computational Materials Science, Vol. 81 (2014), Iss. P.216

Вычислительные технологии программного комплекса DiMP-Hydro для моделирования микротечений

Математическое моделирование, Vol. 31 (2019), Iss. 7 P.21

A phase-field method for three-phase flows with icing

Journal of Computational Physics, Vol. 458 (2022), Iss. P.111104

Finite droplets vs long droplets: Discrepancy in release conditions in a microscopic constricted channel

Physics of Fluids, Vol. 35 (2023), Iss. 3

Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach

Computer Methods in Applied Mechanics and Engineering, Vol. 398 (2022), Iss. P.115291

Simulation of three-component fluid flows using the multiphase lattice Boltzmann flux solver

Journal of Computational Physics, Vol. 314 (2016), Iss. P.228

Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

Journal of Computational Physics, Vol. 330 (2017), Iss. P.1116

A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows

Journal of Computational Physics, Vol. 360 (2018), Iss. P.137

A comparative study of penalization and phase field methods for the solution of the diffusion equation in complex geometries

Journal of Computational Physics, Vol. 283 (2015), Iss. P.388

Surface Nanopatterning and Structural Coloration of Liquid Metal Gallium Through Hypergravity Nanoimprinting

Advanced Functional Materials, Vol. (2024), Iss.

Numerical simulation of twophase flows on the base of phase-field method

Russian Journal of Geophysical Technologies, Vol. (2024), Iss. 1 P.60

Wetting transitions on patterned surfaces with diffuse interaction potentials embedded in a Young-Laplace formulation

The Journal of Chemical Physics, Vol. 144 (2016), Iss. 3

Computational Materials System Design

Phase Field Modeling of Microstructural Evolution

2018

An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model

Numerical Algorithms, Vol. 92 (2023), Iss. 3 P.1589

Energy Transfers in Atmosphere and Ocean

Diffuse Interface Approaches in Atmosphere and Ocean—Modeling and Numerical Implementation

2019

Efficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapes

Journal of Computational Physics, Vol. 467 (2022), Iss. P.111444

Diffuse-interface two-phase flow models with different densities: A new quasi-incompressible form and a linear energy-stable method

Mathematical Models and Methods in Applied Sciences, Vol. 28 (2018), Iss. 04 P.733

Investigating the stability of the phase field solution of equilibrium droplet configurations by eigenvalues and eigenvectors

Computational Materials Science, Vol. 141 (2018), Iss. P.185

Numerical approximations for a phase-field moving contact line model with variable densities and viscosities

Journal of Computational Physics, Vol. 334 (2017), Iss. P.665

Phase field simulation of Rayleigh–Taylor instability with a meshless method

Engineering Analysis with Boundary Elements, Vol. 87 (2018), Iss. P.78

A linear second-order maximum bound principle preserving finite difference scheme for the generalized Allen–Cahn equation

Applied Mathematics Letters, Vol. 158 (2024), Iss. P.109250

Multi-physics modeling of the 2022 NIST additive manufacturing benchmark (AM-Bench) test series

Computational Mechanics, Vol. (2024), Iss.

Property-preserving numerical approximation of a Cahn–Hilliard–Navier–Stokes model with variable density and degenerate mobility

Applied Numerical Mathematics, Vol. 209 (2025), Iss. P.68

Physically consistent modelling of surface tension forces in the Volume-of-Fluid method for three or more phases

Journal of Computational Physics, Vol. 513 (2024), Iss. P.113149

Phase‐field formulation of a fictitious domain method for particulate flows interacting with complex and evolving geometries

International Journal for Numerical Methods in Fluids, Vol. 93 (2021), Iss. 8 P.2486

Magnetic field-induced control of a compound ferrofluid droplet deformation and breakup in shear flow using a hybrid lattice Boltzmann-finite difference method

International Journal of Multiphase Flow, Vol. 146 (2022), Iss. P.103846

New efficient time-stepping schemes for the Navier–Stokes–Cahn–Hilliard equations

Computers & Fluids, Vol. 231 (2021), Iss. P.105174

Morphogens enable interacting supracellular phases that generate organ architecture

Science, Vol. 382 (2023), Iss. 6673

Faraday instability of binary miscible/immiscible fluids with phase field approach

Physical Review Fluids, Vol. 6 (2021), Iss. 6

Decoupled, linear, unconditionally energy stable and charge-conservative finite element method for an inductionless magnetohydrodynamic phase-field model

Mathematics and Computers in Simulation, Vol. 215 (2024), Iss. P.607

A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains

Journal of Scientific Computing, Vol. 72 (2017), Iss. 3 P.1119

Conservative transport model for surfactant on the interface based on the phase-field method

Journal of Computational Physics, Vol. 516 (2024), Iss. P.113292

Direct Discretization Method for the Cahn–Hilliard Equation on an Evolving Surface

Journal of Scientific Computing, Vol. 77 (2018), Iss. 2 P.1147

Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model

Journal of Computational Physics, Vol. 420 (2020), Iss. P.109718

Computationally efficient adaptive time step method for the Cahn–Hilliard equation

Computers & Mathematics with Applications, Vol. 73 (2017), Iss. 8 P.1855

Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation

Inverse Problems & Imaging, Vol. 7 (2013), Iss. 3 P.679

Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities

Frigeri, Sergio

Mathematical Models and Methods in Applied Sciences, Vol. 26 (2016), Iss. 10 P.1955

Regimes of evaporation and mixing behaviors of nanodroplets at transcritical conditions

Fuel, Vol. 331 (2023), Iss. P.125870

Towards uniformly oriented diatom frustule monolayers: Experimental and theoretical analyses

Microsystems & Nanoengineering, Vol. 2 (2016), Iss. 1

Thermocapillary-actuated contact-line motion of immiscible binary fluids over substrates with patterned wettability in narrow confinement

Physical Review E, Vol. 90 (2014), Iss. 2

Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model

Science China Mathematics, Vol. 67 (2024), Iss. 9 P.2171

Multiphase flows of N immiscible incompressible fluids: Conservative Allen-Cahn equation and lattice Boltzmann equation method

Physical Review E, Vol. 101 (2020), Iss. 1

Influence of Laser Processing Strategy and Remelting on Surface Structure and Porosity Development during Selective Laser Melting of a Metallic Material

Metallurgical and Materials Transactions A, Vol. 50 (2019), Iss. 9 P.4423

Energy dissipation–preserving time-dependent auxiliary variable method for the phase-field crystal and the Swift–Hohenberg models

Numerical Algorithms, Vol. 89 (2022), Iss. 4 P.1865

Phase field modeling of partially saturated deformable porous media

Sciarra, Giulio

Journal of the Mechanics and Physics of Solids, Vol. 94 (2016), Iss. P.230

A Time Splitting Space Spectral Element Method for the Cahn-Hilliard Equation

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 4 P.333

A modified phase-field method for the investigation of wetting transitions of droplets on patterned surfaces

Journal of Computational Physics, Vol. 283 (2015), Iss. P.258

Consistent energy-stable method for the hydrodynamics coupled PFC model

International Journal of Mechanical Sciences, Vol. 241 (2023), Iss. P.107952

Accurate conservative phase-field method for simulation of two-phase flows

Jain, Suhas S.

Journal of Computational Physics, Vol. 469 (2022), Iss. P.111529

Multiscale model reduction for the Allen–Cahn problem in perforated domains

Journal of Computational and Applied Mathematics, Vol. 381 (2021), Iss. P.113010

Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System

SIAM Journal on Mathematical Analysis, Vol. 51 (2019), Iss. 3 P.2535

On the diffuse interface models for high codimension dispersed inclusions

Keldysh Institute Preprints, Vol. (2020), Iss. 122 P.1

A consistent and conservative volume distribution algorithm and its applications to multiphase flows using Phase-Field models

International Journal of Multiphase Flow, Vol. 142 (2021), Iss. P.103727

Classification of ternary data using the ternary Allen–Cahn system for small datasets

AIP Advances, Vol. 12 (2022), Iss. 6

Level Set, Phase-Field, and Immersed Boundary Methods for Two-Phase Fluid Flows

Journal of Fluids Engineering, Vol. 136 (2014), Iss. 2

Statistical Rock Physics

The Internal Topology of Rocks

Korvin, Gabor

2024

Phase-field formulated meshless simulation of axisymmetric Rayleigh-Taylor instability problem

Engineering Analysis with Boundary Elements, Vol. 169 (2024), Iss. P.105953

Radial basis function and multi-level 2D vector field approximation

Mathematics and Computers in Simulation, Vol. 181 (2021), Iss. P.522

Influence of Liquid Density and Surface Tension on the Pinning of Sliding Droplets on a Triangular Microstructure

Chemical Engineering & Technology, Vol. 42 (2019), Iss. 7 P.1381

A Novel Lattice Boltzmann Model for Fourth Order Nonlinear Partial Differential Equations

Journal of Scientific Computing, Vol. 87 (2021), Iss. 2

From classical thermodynamics to phase-field method

Progress in Materials Science, Vol. 124 (2022), Iss. P.100868

Interactions on the Interface between Two Liquid Crystal Materials

Crystals, Vol. 10 (2020), Iss. 5 P.393

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model

Advances in Computational Mathematics, Vol. 46 (2020), Iss. 2

A novel linear, unconditional energy stable scheme for the incompressible Cahn–Hilliard–Navier–Stokes phase-field model

Computers & Mathematics with Applications, Vol. 80 (2020), Iss. 12 P.2948

Thermodynamically consistent phase-field modelling of activated solute transport in binary solvent fluids

Journal of Fluid Mechanics, Vol. 955 (2023), Iss.

Comparison study of the conservative Allen–Cahn and the Cahn–Hilliard equations

Mathematics and Computers in Simulation, Vol. 119 (2016), Iss. P.35

An efficient algorithm for incompressible N-phase flows

Dong, S.

Journal of Computational Physics, Vol. 276 (2014), Iss. P.691

The hydrothermal performance of non-Newtonian fluids in superhydrophobic microchannels

Physics of Fluids, Vol. 36 (2024), Iss. 3

A consistent and conservative model and its scheme for N-phase-M-component incompressible flows

Journal of Computational Physics, Vol. 434 (2021), Iss. P.110229

Conservative Allen–Cahn equation with a nonstandard variable mobility

Acta Mechanica, Vol. 231 (2020), Iss. 2 P.561

Homogenization of evolutionary Stokes–Cahn–Hilliard equations for two-phase porous media flow

Asymptotic Analysis, Vol. 105 (2017), Iss. 1-2 P.77

Well-posedness for the Brinkman–Cahn–Hilliard system with unmatched viscosities

Journal of Differential Equations, Vol. 268 (2020), Iss. 10 P.6350

Wetting boundaries for a ternary high-density-ratio lattice Boltzmann method

Physical Review E, Vol. 100 (2019), Iss. 1

Comparison of high order finite element and discontinuous Galerkin methods for phase field equations: Application to structural damage

Computers & Mathematics with Applications, Vol. 74 (2017), Iss. 7 P.1542

Ternary modeling of the interaction between immiscible droplets in a confined shear flow

Physical Review Fluids, Vol. 7 (2022), Iss. 1

Numerical Approximations for the Cahn–Hilliard Phase Field Model of the Binary Fluid-Surfactant System

Yang, Xiaofeng

Journal of Scientific Computing, Vol. 74 (2018), Iss. 3 P.1533

An explicit conservative Saul’yev scheme for the Cahn–Hilliard equation

International Journal of Mechanical Sciences, Vol. 217 (2022), Iss. P.106985

A Darcy–Cahn–Hilliard model of multiphase fluid-driven fracture

Journal of the Mechanics and Physics of Solids, Vol. 181 (2023), Iss. P.105427

Influence of density and viscosity on deformation, breakage, and coalescence of bubbles in turbulence

Physical Review Fluids, Vol. 7 (2022), Iss. 5

A computational method to simulate mono- and poly-disperse two-dimensional foams flowing in obstructed channel

Rheologica Acta, Vol. 60 (2021), Iss. 10 P.587

A Review of Multiscale Computational Methods in Polymeric Materials

Polymers, Vol. 9 (2017), Iss. 1 P.16

Viscosity-modulated breakup and coalescence of large drops in bounded turbulence

Physical Review Fluids, Vol. 2 (2017), Iss. 8

Reduction-consistent multiple-relaxation-time lattice Boltzmann equation method for wall bounded N immiscible incompressible fluids

Computers & Fluids, Vol. 221 (2021), Iss. P.104896

On Nonlocal Cahn–Hilliard–Navier–Stokes Systems in Two Dimensions

Journal of Nonlinear Science, Vol. 26 (2016), Iss. 4 P.847

An Explicit Hybrid Method for the Nonlocal Allen–Cahn Equation

Symmetry, Vol. 12 (2020), Iss. 8 P.1218

A phase field model for partially saturated geomaterials describing fluid–fluid displacements. Part I: The model and one-dimensional analysis

Advances in Water Resources, Vol. 164 (2022), Iss. P.104170

Numerical investigations of electrothermally actuated moving contact line dynamics: Effect of property contrasts

Physics of Fluids, Vol. 29 (2017), Iss. 8

Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results

Applied Mathematics & Optimization, Vol. 88 (2023), Iss. 3

Turbulent Drag Reduction by a Near Wall Surface Tension Active Interface

Flow, Turbulence and Combustion, Vol. 100 (2018), Iss. 4 P.979

Phase field analysis of binary mixtures with partially miscible components

International Journal of Multiphase Flow, Vol. 138 (2021), Iss. P.103613

Reduction-consistent phase-field lattice Boltzmann equation for N immiscible incompressible fluids

Physical Review E, Vol. 101 (2020), Iss. 4

A rapid diffusion simulation method of multiple‐fluid coupling combined with MPM and PFM

Computer Animation and Virtual Worlds, Vol. 34 (2023), Iss. 6

Computational Science and Its Applications – ICCSA 2024 Workshops

Construction of Relative Permeability Curves by Numerical Simulation of Two-Phase Flow in 3D CT-Models

2024

Analysis of a Linearized Energy Stable Numerical Scheme for a Modified Incompressible Cahn-Hilliard-Navier-Stokes System

Acta Mathematicae Applicatae Sinica, English Series, Vol. 39 (2023), Iss. 3 P.605

Terminal shape and velocity of a rising bubble by phase-field-based incompressible Lattice Boltzmann model

Advances in Water Resources, Vol. 97 (2016), Iss. P.100

A Simple Parallel Solution Method for the Navier–Stokes Cahn–Hilliard Equations

Mathematics, Vol. 8 (2020), Iss. 8 P.1224

Phase-field modeling of complex interface dynamics in drop-laden turbulence

Physical Review Fluids, Vol. 8 (2023), Iss. 9

An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media

Journal of Computational Physics, Vol. 451 (2022), Iss. P.110854

Efficient, non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen–Cahn Equation with precise nonlocal mass conservation

Journal of Computational and Applied Mathematics, Vol. 363 (2020), Iss. P.444

Fourier-Spectral Method for the Phase-Field Equations

Mathematics, Vol. 8 (2020), Iss. 8 P.1385

MorphoSim: an efficient and scalable phase-field framework for accurately simulating multicellular morphologies

npj Systems Biology and Applications, Vol. 9 (2023), Iss. 1

Two-dimensional nonlocal Cahn–Hilliard–Navier–Stokes systems with variable viscosity, degenerate mobility and singular potential

Nonlinearity, Vol. 32 (2019), Iss. 2 P.678

Mathematical Model and Numerical Simulation for Tissue Growth on Bioscaffolds

Applied Sciences, Vol. 9 (2019), Iss. 19 P.4058

Advances of Phase-Field Model in the Numerical Simulation of Multiphase Flows: A Review

Atmosphere, Vol. 14 (2023), Iss. 8 P.1311

On Maxwell–Stefan diffusion in Smoothed Particle Hydrodynamics

International Journal of Heat and Mass Transfer, Vol. 103 (2016), Iss. P.548

Phase-field modeling and consistent energy-stable simulation of binary creeping flows in contact with solid

Computer Methods in Applied Mechanics and Engineering, Vol. 414 (2023), Iss. P.116180

Numerical simulation of single droplet dynamics in three-phase flows using ISPH

Computers & Mathematics with Applications, Vol. 66 (2013), Iss. 4 P.525

An explicitness-preserving IMEX-split multiderivative method

Computers & Mathematics with Applications, Vol. 158 (2024), Iss. P.139

Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers

Mathematical Models and Methods in Applied Sciences, Vol. 34 (2024), Iss. 07 P.1343

Phase-field-based lattice Boltzmann method for two-phase flows with interfacial mass or heat transfer

Physical Review E, Vol. 110 (2024), Iss. 1

Numerical Prediction of Storage Stability of Polymer-Modified Bitumen: A Coupled Model of Gravity-Driven Flow and Diffusion

Transportation Research Record: Journal of the Transportation Research Board, Vol. 2632 (2017), Iss. 1 P.70

On a nonlocal Cahn-Hilliard/Navier-Stokes system with degenerate mobility and singular potential for incompressible fluids with different densities

Frigeri, Sergio

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Vol. 38 (2021), Iss. 3 P.647

An Energy Stable Immersed Boundary Method for Deformable Membrane Problem with Non-uniform Density and Viscosity

Journal of Scientific Computing, Vol. 94 (2023), Iss. 2

Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model

Yang, Xiaofeng

Mathematical Models and Methods in Applied Sciences, Vol. 31 (2021), Iss. 04 P.753

Three dimensional phase-field investigation of droplet formation in microfluidic flow focusing devices with experimental validation

International Journal of Multiphase Flow, Vol. 93 (2017), Iss. P.130

Higher order spectral element scheme for two- and three-dimensional Cahn–Hilliard equation

International Journal of Advances in Engineering Sciences and Applied Mathematics, Vol. 10 (2018), Iss. 1 P.79

MULTISCALE, MULTIPHYSICS AND MULTIDOMAIN MODELS I: BASIC THEORY

WEI, GUO-WEI

Journal of Theoretical and Computational Chemistry, Vol. 12 (2013), Iss. 08 P.1341006

Phase-field method of materials microstructures and properties

MRS Bulletin, Vol. 49 (2024), Iss. 6 P.551

A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows

Journal of Computational Physics, Vol. 449 (2022), Iss. P.110769

Highly efficient time-marching method with enhanced energy consistency for the L2-gradient flow based two-phase incompressible fluid system

Computers & Mathematics with Applications, Vol. 139 (2023), Iss. P.68

An unconditionally energy-stable second-order time-accurate scheme for the Cahn–Hilliard equation on surfaces

Communications in Nonlinear Science and Numerical Simulation, Vol. 53 (2017), Iss. P.213

Eulerian/Lagrangian formulation for the elasto-capillary deformation of a flexible fibre

Journal of Computational Physics, Vol. 409 (2020), Iss. P.109324

Linear, Second-Order Accurate, and Energy Stable Scheme for a Ternary Cahn–Hilliard Model by Using Lagrange Multiplier Approach

Acta Applicandae Mathematicae, Vol. 172 (2021), Iss. 1

On suitability of phase-field and algebraic volume-of-fluid OpenFOAM® solvers for gas–liquid microfluidic applications

Computer Physics Communications, Vol. 236 (2019), Iss. P.72

Progress Report on Phase Separation in Polymer Solutions

Advanced Materials, Vol. 31 (2019), Iss. 26

A fast and practical adaptive finite difference method for the conservative Allen–Cahn model in two-phase flow system

International Journal of Multiphase Flow, Vol. 137 (2021), Iss. P.103561

Molecular simulation guided constitutive modeling of filled rubber: Bridging structural parameters to constitutive equations

Polymer, Vol. 254 (2022), Iss. P.125090

Modeling of Pore-Scale Two-Phase Phenomena Using Density Functional Hydrodynamics

Transport in Porous Media, Vol. 112 (2016), Iss. 3 P.577

The Phase Transition Model for Heat-Shrinkable Thermo-Sensitive Hydrogels Based on Interaction Energy

Communications in Computational Physics, Vol. 17 (2015), Iss. 2 P.594

Experimental-based modeling of complex mixtures

Germann, Natalie

Science Talks, Vol. 3 (2022), Iss. P.100055

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

SIAM Journal on Numerical Analysis, Vol. 53 (2015), Iss. 1 P.279

Computationally Efficient and Interface Accurate Dual-Grid Phase-Field Simulation of Turbulent Drop-Laden Flows

Journal of Fluids Engineering, Vol. 146 (2024), Iss. 12

A phase-field method for two-phase fluid flow in arbitrary domains

Computers & Mathematics with Applications, Vol. 79 (2020), Iss. 6 P.1857

Turbulence and Interface Waves in Stratified Oil–Water Channel Flow at Large Viscosity Ratio

Flow, Turbulence and Combustion, Vol. 112 (2024), Iss. 1 P.15

A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system

Applied Numerical Mathematics, Vol. 157 (2020), Iss. P.338

A finite volume / discontinuous Galerkin method for the advective Cahn–Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging

Computational Geosciences, Vol. 22 (2018), Iss. 2 P.543

Compact Empirical Model for Droplet Generation in a Lab-on-Chip Cytometry System

IEEE Access, Vol. 10 (2022), Iss. P.127708

Unifying binary fluid diffuse-interface models in the sharp-interface limit

Journal of Fluid Mechanics, Vol. 736 (2013), Iss. P.5

A phase-field fluid modeling and computation with interfacial profile correction term

Communications in Nonlinear Science and Numerical Simulation, Vol. 30 (2016), Iss. 1-3 P.84

A Multi-Electrode Pixel Structure for Quick-Response Electrowetting Displays

Micromachines, Vol. 13 (2022), Iss. 7 P.1103

Numerical simulation of jet mode in electrospraying of Newtonian and viscoelastic fluids

International Journal of Multiphase Flow, Vol. 129 (2020), Iss. P.103302

Isogeometric analysis for a phase-field constrained optimization problem of morphological evolution of vesicles in electrical fields

Computer Methods in Applied Mechanics and Engineering, Vol. 377 (2021), Iss. P.113669

A Correct Benchmark Problem of a Two-Dimensional Droplet Deformation in Simple Shear Flow

Mathematics, Vol. 10 (2022), Iss. 21 P.4092

Numerical simulations of the dynamics of axisymmetric compound liquid threads with a phase-field model

European Journal of Mechanics - B/Fluids, Vol. 89 (2021), Iss. P.203

Linear and Energy-Stable Method with Enhanced Consistency for the Incompressible Cahn–Hilliard–Navier–Stokes Two-Phase Flow Model

Mathematics, Vol. 10 (2022), Iss. 24 P.4711

Direct simulation of pore-scale two-phase visco-capillary flow on large digital rock images using a phase-field lattice Boltzmann method on general-purpose graphics processing units

Computational Geosciences, Vol. 23 (2019), Iss. 5 P.849

Simulation of Incompressible Free Surface Flow Using the Volume Preserving Level Set Method

Communications in Computational Physics, Vol. 18 (2015), Iss. 4 P.931

Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint

Applied Numerical Mathematics, Vol. 170 (2021), Iss. P.321

Fast multiple-fluid simulation using Helmholtz free energy

ACM Transactions on Graphics, Vol. 34 (2015), Iss. 6 P.1

Effect of physical properties on the dynamics of an isolated bubble squeezing through a narrow constriction

International Journal of Multiphase Flow, Vol. 169 (2023), Iss. P.104601

Dynamic behaviors of nanoscale binary water droplets simultaneously impacting on flat surface

Computational Materials Science, Vol. 183 (2020), Iss. P.109814

Free‐energy lattice Boltzmann simulations of slicing of rising droplets

The Canadian Journal of Chemical Engineering, Vol. 102 (2024), Iss. 2 P.925

Mode-coupled perturbation growth on the interfaces of cylindrical implosion: A comparison between theory and experiment

Physical Review E, Vol. 109 (2024), Iss. 3

Development of a numerical workflow based on <i>μ</i>-CT imaging for the determination of capillary pressure–saturation-specific interfacial area relationship in 2-phase flow pore-scale porous-media systems: a case study on Heletz sandstone

Solid Earth, Vol. 7 (2016), Iss. 3 P.727

Homogenization of a coupled incompressible Stokes–Cahn–Hilliard system modeling binary fluid mixture in a porous medium

Nonlinear Analysis, Vol. 222 (2022), Iss. P.112927

Energy-decreasing exponential time differencing Runge–Kutta methods for phase-field models

Journal of Computational Physics, Vol. 454 (2022), Iss. P.110943

Phase field modeling and computation of multi-component droplet evaporation

Yang, Junxiang

Computer Methods in Applied Mechanics and Engineering, Vol. 401 (2022), Iss. P.115675

Experimental and Numerical Investigation on the Phase Separation Affected by Cooling Rates and Marangoni Convection in Cu-Cr Alloys

Metallurgical and Materials Transactions A, Vol. 46 (2015), Iss. 4 P.1756

Efficient IMEX and consistently energy-stable methods of diffuse-interface models for incompressible three-component flows

Computer Physics Communications, Vol. 282 (2023), Iss. P.108558

On differences between deterministic and statistical models of the interphase region

Wacławczyk, Tomasz

Acta Mechanica Sinica, Vol. 38 (2022), Iss. 8

A novel fully decoupled scheme with second‐order time accuracy and unconditional energy stability for the Navier‐Stokes equations coupled with mass‐conserved Allen‐Cahn phase‐field model of two‐phase incompressible flow

Yang, Xiaofeng

International Journal for Numerical Methods in Engineering, Vol. (2020), Iss.

A novel technique for minimizing energy functional using neural networks

Engineering Applications of Artificial Intelligence, Vol. 133 (2024), Iss. P.108313

Linear energy stable and maximum principle preserving semi-implicit scheme for Allen–Cahn equation with double well potential

Communications in Nonlinear Science and Numerical Simulation, Vol. 98 (2021), Iss. P.105766

Bracket formulations and energy- and helicity-preserving numerical methods for incompressible two-phase flows

Suzuki, Yukihito

Journal of Computational Physics, Vol. 356 (2018), Iss. P.64

Numerical analysis of pressure drop reduction of bubbly flows through hydrophobic microgrooved channels

Scientific Reports, Vol. 13 (2023), Iss. 1

Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities

Applied Mathematical Modelling, Vol. 83 (2020), Iss. P.614

Mathematical modeling and numerical simulation of the N-component Cahn-Hilliard model on evolving surfaces

Journal of Computational Physics, Vol. 513 (2024), Iss. P.113189

Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow

ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 51 (2017), Iss. 3 P.1089

Turbulent drag reduction in channel flow with viscosity stratified fluids

Computers & Fluids, Vol. 176 (2018), Iss. P.260

An interfacial profile-preserving approach for phase field modeling of incompressible two-phase flows

International Journal of Multiphase Flow, Vol. 174 (2024), Iss. P.104750

An energy-stable finite-difference scheme for the binary fluid-surfactant system

Journal of Computational Physics, Vol. 270 (2014), Iss. P.416

Dimp-Hydro Solver for Direct Numerical Simulation of Fluid Microflows within Pore Space of Core Samples

Mathematical Models and Computer Simulations, Vol. 12 (2020), Iss. 2 P.110

Reduced order methods for the solution of solidification Phase-Field models ⁎ ⁎This work has been funded by the RCUK National Centre for the Sustainable Energy Use in Food Chains (CSEF) (EPSRC grant no. EP/K011820/1).

López-Quiroga, E.

IFAC-PapersOnLine, Vol. 51 (2018), Iss. 2 P.637

Solvent mixing and ion partitioning effects in spontaneous charging and electrokinetic flow of immiscible liquid-liquid interface

Physical Review Fluids, Vol. 9 (2024), Iss. 10

Multicomponent phase-field model for extremely large partition coefficients

Physical Review E, Vol. 89 (2014), Iss. 1

The stabilized-trigonometric scalar auxiliary variable approach for gradient flows and its efficient schemes

Journal of Engineering Mathematics, Vol. 129 (2021), Iss. 1

An unconditionally energy stable second order finite element method for solving the Allen–Cahn equation

Journal of Computational and Applied Mathematics, Vol. 353 (2019), Iss. P.38

Investigation of an Embedded Cooling RF Silicon Interposer for an Ultrahigh Heat Flux GaN TR Array

IEEE Transactions on Components, Packaging and Manufacturing Technology, Vol. 13 (2023), Iss. 2 P.161

Inferring topological transitions in pattern-forming processes with self-supervised learning

npj Computational Materials, Vol. 8 (2022), Iss. 1

Improved lattice Boltzmann modeling of binary flow based on the conservative Allen-Cahn equation

Physical Review E, Vol. 94 (2016), Iss. 2

Hierarchy of consistent n-component Cahn–Hilliard systems

Mathematical Models and Methods in Applied Sciences, Vol. 24 (2014), Iss. 14 P.2885

Simulation and analysis of coalescence of water droplets on composite insulating surface under DC electric field

IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 22 (2015), Iss. 5 P.2669