A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system
zbMath1499.65424arXiv2102.08105MaRDI QIDQ5019877
Cheng Wang, Yuzhe Qin, Zheng-Ru Zhang
Publication date: 11 January 2022
Full work available at URL: https://arxiv.org/abs/2102.08105
Newton iterationpositivity-preservingconvex splittingunconditional energy stabilitybinary fluid-surfactant system
PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Liquid-liquid two component flows (76T06)
Related Items (18)
Cites Work
- Unnamed Item
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- 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
- A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection
- On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
- Phase-field modeling droplet dynamics with soluble surfactants
- A diffuse-interface method for two-phase flows with soluble surfactants
- A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Global smooth solutions of the three-dimensional modified phase field crystal equation
- Surfactants in foam stability: a phase-field model
- 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
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- 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
- On the stabilization size of semi-implicit Fourier-spectral methods for 3D Cahn-Hilliard equations
- Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system
- A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions
- A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters
- 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
- 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
- A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance
- Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
- 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
- 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
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation
- A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- A BDF2 Energy-Stable Scheme for a General Tensor-Based Model of Liquid Crystals
- Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model
- A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
- Directions in Condensed Matter Physics
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets
- Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State
- A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters
- Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model
- 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
- Remarks on the planetary geostrophic model of gyre scale ocean circulation
- Decoupled, energy stable schemes for a phase-field surfactant model
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