A multiphase Cahn–Hilliard system with mobilities and the numerical simulation of dewetting
From MaRDI portal
Publication:6048486
DOI10.1051/m2an/2023023arXiv2105.09627OpenAlexW4323538046MaRDI QIDQ6048486
Roland Denis, Simon Masnou, Elie Bretin, Arnaud Sengers, Garry Terii
Publication date: 14 September 2023
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.09627
surface diffusionmultiphase Cahn-Hilliard systemdegenerate mobilitiesnumerical approximation of dewettingPhase field approximation
Dynamics of phase boundaries in solids (74N20) Theoretical approximation in context of PDEs (35A35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Flows related to mean curvature (53E10) Higher-order geometric flows (53E40)
Related Items (1)
Cites Work
- A conservative numerical method for the Cahn-Hilliard equation with Dirichlet boundary conditions in complex domains
- Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local
- Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition
- Phase-field approximations of the Willmore functional and flow
- On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows
- A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading
- Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models
- Mass conserving Allen-Cahn equation and volume preserving mean curvature flow
- A conservative numerical method for the Cahn-Hilliard equation in complex domains
- A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows
- Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
- Efficient energy stable numerical schemes for a phase field moving contact line model
- Conservative multigrid methods for ternary Cahn-Hilliard systems
- A parametric finite element method for fourth order geometric evolution equations
- An efficient algorithm for solving the phase field crystal model
- A numerical method for the ternary Cahn-Hilliard system with a degenerate mobility
- Solving PDEs in complex geometries: a diffuse domain approach
- Phase field computations for ternary fluid flows
- On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
- Applications of semi-implicit Fourier-spectral method to phase field equations
- First and second order numerical methods based on a new convex splitting for phase-field crystal equation
- Multiphase mean curvature flows with high mobility contrasts: a phase-field approach, with applications to nanowires
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- Calculation of two-phase Navier-Stokes flows using phase-field modeling
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- An integral equation method for the Cahn-Hilliard equation in the wetting problem
- An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations
- Sharp-interface approach for simulating solid-state dewetting in two dimensions: A Cahn-hoffman \(\boldsymbol{\xi}\)-vector formulation
- An improved threshold dynamics method for wetting dynamics
- A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics
- Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility
- A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface
- Multi-component Cahn-Hilliard system with different boundary conditions in complex domains
- Surface evolution of elastically stressed films under deposition by a diffuse interface model
- Sharp-Interface Limits of the Cahn--Hilliard Equation with Degenerate Mobility
- Dissipation in rapid dynamic wetting
- Sets of Finite Perimeter and Geometric Variational Problems
- A modified phase field approximation for mean curvature flow with conservation of the volume
- Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions
- The phase field method for geometric moving interfaces and their numerical approximations
- Study of a three component Cahn-Hilliard flow model
- Front migration in the nonlinear Cahn-Hilliard equation
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model
- Lowersemicontinuity of energy clusters
- A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions
- Convexity splitting in a phase field model for surface diffusion
- The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature
- On the Cahn–Hilliard Equation with Degenerate Mobility
- Motion of Interfaces Governed by the Cahn--Hilliard Equation with Highly Disparate Diffusion Mobility
- Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
- How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations?
- Doubly degenerate diffuse interface models of surface diffusion
- Doubly degenerate diffuse interface models of anisotropic surface diffusion
- Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities
- An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces
- Phase-field modelling and computing for a large number of phases
- Threshold Dynamics for Networks with Arbitrary Surface Tensions
- Coarsening Mechanism for Systems Governed by the Cahn--Hilliard Equation with Degenerate Diffusion Mobility
- The triangle inequalities and lower semi-continuity of surface energy of partitions
- An anisotropic phase-field model for solid-state dewetting and its sharp-interface limit
- A simple and efficient scheme for phase field crystal simulation
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A multiphase Cahn–Hilliard system with mobilities and the numerical simulation of dewetting
