Linear and conservative IMEX Runge-Kutta finite difference schemes with provable energy stability for the Cahn-Hilliard model in arbitrary domains
From MaRDI portal
Publication:6162469
DOI10.1016/j.camwa.2023.05.002OpenAlexW4377197384MaRDI QIDQ6162469
Zhijun Tan, Junseok Kim, Junxiang Yang
Publication date: 28 June 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.05.002
Nonlinear parabolic equations (35K55) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (1)
Cites Work
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Energy SSP-IMEX Runge-Kutta methods for the Cahn-Hilliard equation
- A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint
- A conservative numerical method for the Cahn-Hilliard equation in complex domains
- Energy stable numerical schemes for ternary Cahn-Hilliard system
- A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation
- Conservative multigrid methods for Cahn--Hilliard fluids.
- Multi-phase-field modeling using a conservative Allen-Cahn equation for multiphase flow
- 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
- A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations
- Basic principles and practical applications of the Cahn-Hilliard equation
- An energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity
- An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
- Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential
- Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach
- Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes
- A high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier
- Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces
- An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase-field model
- A fully 3D simulation of fluid-structure interaction with dynamic wetting and contact angle hysteresis
- A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters
- A stabilized fully-discrete scheme for phase field crystal equation
- Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation
- Long-time simulation of the phase-field crystal equation using high-order energy-stable CSRK methods
- Energy stable compact scheme for Cahn-Hilliard equation with periodic boundary condition
- Comparison study on the different dynamics between the Allen-Cahn and the Cahn-Hilliard equations
- 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
- Lattice Boltzmann method for fractional Cahn-Hilliard equation
- An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation
- Efficient monolithic projection-based method for chemotaxis-driven bioconvection problems
- First- and second-order unconditionally stable direct discretization methods for multi-component Cahn-Hilliard system on surfaces
- A non-iterative and unconditionally energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity
- A second-order accurate, unconditionally energy stable numerical scheme for binary fluid flows on arbitrarily curved surfaces
- A second order unconditionally stable scheme for the modified phase field crystal model with elastic interaction and stochastic noise effect
- Efficient energy-stable schemes for the hydrodynamics coupled phase-field 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
- 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
- A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- An Energy Stable Second-Order Accurate Scheme for Microphase Separation of Periodic Diblock Copolymers
- A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system
- A diffuse domain method for two-phase flows with large density ratio in complex geometries
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space
- A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Thermodynamically consistent modelling of two-phase flows with moving contact line and soluble surfactants
This page was built for publication: Linear and conservative IMEX Runge-Kutta finite difference schemes with provable energy stability for the Cahn-Hilliard model in arbitrary domains
