Linear, second-order accurate, and energy stable scheme for a ternary Cahn-Hilliard model by using Lagrange multiplier approach
DOI10.1007/s10440-021-00405-6zbMath1465.65081OpenAlexW3151967363MaRDI QIDQ2042537
Publication date: 20 July 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-021-00405-6
Reaction-diffusion equations (35K57) Finite difference methods applied to problems in fluid mechanics (76M20) 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) Three or more component flows (76T30) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items
Cites Work
- Unnamed Item
- On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
- Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
- Diffuse interface simulation of ternary fluids in contact with solid
- An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations
- Conservative multigrid methods for ternary Cahn-Hilliard systems
- Optimal multigrid methods with new transfer operators based on finite difference approximations
- Phase field computations for ternary fluid flows
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- A stable, convergent, conservative and linear finite difference scheme for the Cahn-Hilliard equation
- Multi-phase-field modeling using a conservative Allen-Cahn equation for multiphase flow
- Two-dimensional Kelvin-Helmholtz instabilities of multi-component fluids
- Unconditionally energy stable numerical schemes for phase-field vesicle membrane model
- Mathematical model of contractile ring-driven cytokinesis in a three-dimensional domain
- Buoyancy-driven mixing of multi-component fluids in two-dimensional tilted channels
- 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
- A fully 3D simulation of fluid-structure interaction with dynamic wetting and contact angle hysteresis
- A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system
- 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
- Modeling and simulation of dynamics of three-component flows on solid surface
- Efficient modified techniques of invariant energy quadratization approach for gradient flows
- On the existence of global attractor for 3D viscous Cahn-Hilliard equation
- Analysis of multilevel finite volume approximation of 2D convective Cahn-Hilliard equation
- A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Convex splitting Runge-Kutta methods for phase-field models
- Multi-component Cahn-Hilliard system with different boundary conditions in complex domains
- On linear schemes for a Cahn-Hilliard diffuse interface model
- An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation
- Phase-Field Models for Multi-Component Fluid Flows
- On the maximal spreading of impacting compound drops
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
- AN AUGMENTED PROJECTION METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN ARBITRARY DOMAINS