Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach
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Publication:2045970
DOI10.1016/j.cnsns.2021.105923zbMath1497.65157OpenAlexW3172401322MaRDI QIDQ2045970
Publication date: 16 August 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105923
PDEs in connection with fluid mechanics (35Q35) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Basic methods in fluid mechanics (76M99)
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Cites Work
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system
- Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
- A comparison study of the Boussinesq and the variable density models on buoyancy-driven flows
- Phase field modeling and simulation of three-phase flow on solid surfaces
- Diffuse interface simulation of ternary fluids in contact with solid
- Energy stable numerical schemes for ternary Cahn-Hilliard system
- Lattice Boltzmann simulation of the Rayleigh-Taylor instability (RTI) during the mixing of the immiscible fluids
- Phase field computations for ternary fluid flows
- Conservative multigrid methods for Cahn--Hilliard fluids.
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- Fluid-structure interaction involving dynamic wetting: 2D modeling and simulations
- Multiphase flows of \(N\) immiscible incompressible fluids: an outflow/open boundary condition and algorithm
- A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations
- Lattice Boltzmann modeling of wall-bounded ternary fluid flows
- An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
- Linear, second-order accurate, and energy stable scheme for a ternary Cahn-Hilliard model by using Lagrange multiplier approach
- Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation
- A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations
- A fully 3D simulation of fluid-structure interaction with dynamic wetting and contact angle hysteresis
- Meshless numerical model based on radial basis function (RBF) method to simulate the Rayleigh-Taylor instability (RTI)
- Unconditionally energy stable large time stepping method for the \(L^2\)-gradient flow based ternary phase-field model with precise nonlocal volume conservation
- Numerical simulation of binary fluid-surfactant phase field model coupled with geometric curvature on the curved surface
- Energy stable compact scheme for Cahn-Hilliard equation with periodic boundary condition
- A practical and efficient numerical method for the Cahn-Hilliard equation in complex domains
- An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations
- A coupled phase field framework for solving incompressible two-phase flows
- An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices
- Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model
- Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction
- An efficient stabilized multiple auxiliary variables method for the Cahn-Hilliard-Darcy two-phase flow system
- On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure
- Efficient modified techniques of invariant energy quadratization approach for gradient flows
- An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation
- A fully decoupled, linear and unconditionally energy stable numerical scheme for a melt-convective phase-field dendritic solidification model
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
- Diffuse interface model for incompressible two-phase flows with large density ratios
- A numerical method for solving incompressible viscous flow problems
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- Numerical schemes for a three component Cahn-Hilliard model
- NUMERICAL IMPLEMENTATION OF THE TWO-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATION
- Study of a three component Cahn-Hilliard flow model
- High-Order Methods for Incompressible Fluid Flow
- A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation<sup>†</sup>
- Thermodynamically consistent modelling of two-phase flows with moving contact line and soluble surfactants
- Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures
- A variant of stabilized-scalar auxiliary variable (S-SAV) approach for a modified phase-field surfactant model