Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model
From MaRDI portal
Publication:5162346
DOI10.4208/cicp.OA-2019-0175OpenAlexW3082502232MaRDI QIDQ5162346
Yuzhe Qin, Zhen Xu, Hui Zhang, Zheng-Ru Zhang
Publication date: 2 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0175
unconditional energy stabilitylinear schemedecoupledscalar auxiliary variable approachbinary fluid-surfactant
Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Numerical analysis (65-XX)
Related Items (12)
An efficiently linear and totally decoupled variant of SAV approach for the binary phase-field surfactant fluid model ⋮ Fully decoupled and energy stable BDF schemes for a class of Keller-Segel equations ⋮ Unconditionally energy stable and bound-preserving schemes for phase-field surfactant model with moving contact lines ⋮ Error analysis of a decoupled, linear stabilization scheme for the Cahn-Hilliard model of two-phase incompressible flows ⋮ A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system ⋮ Surface phase-field surfactant fluid model and its practical closest point type finite difference computation ⋮ Highly efficient time-marching method with enhanced energy consistency for the \(L^2\)-gradient flow based two-phase incompressible fluid system ⋮ Stability and convergence analysis of the exponential time differencing scheme for a Cahn-Hilliard binary fluid-surfactant model ⋮ Second‐order scalar auxiliary variable Fourier‐spectral method for a liquid thin film coarsening model ⋮ An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants ⋮ An efficient time-dependent auxiliary variable approach for the three-phase conservative Allen-Cahn fluids ⋮ A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation
Cites Work
- Unnamed Item
- An embedded boundary method for soluble surfactants with interface tracking for two-phase flows
- An energy-stable finite-difference scheme for the binary fluid-surfactant system
- Simulating binary fluid-surfactant dynamics by a phase field model
- Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
- Phase-field modeling droplet dynamics with soluble surfactants
- A diffuse-interface method for two-phase flows with soluble surfactants
- A generalized continuous surface tension force formulation for phase-field models for multi-component immiscible fluid flows
- A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
- Surfactants in foam stability: a phase-field model
- Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model
- The scalar auxiliary variable (SAV) approach for gradient flows
- Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
- Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows
- On linear schemes for a Cahn-Hilliard diffuse interface model
- Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density
- Numerical schemes for a three component Cahn-Hilliard model
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- A BDF2 Energy-Stable Scheme for a General Tensor-Based Model of Liquid Crystals
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes System
- A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets
- High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics
- Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- Energy stability and convergence of SAV block-centered finite difference method for gradient flows
- Decoupled, energy stable schemes for a phase-field surfactant model
This page was built for publication: Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model
