A Decoupled Energy Stable Numerical Scheme for the Modified ...

Unconditionally Energy Stable Numerical Schemes for ...

modified to get uniform upper bound for its second order derivative). However, a high order stabilizer term (∆2(φn+1 − φn) for Cahn-Hilliard equation, analo-.

Efficient, non-iterative, and decoupled numerical scheme for a new ...

Recommendations · Efficient decoupled second-order numerical scheme for the flow-coupled Cahn–Hilliard phase-field model of two-phase flows · On a ...

A Decoupled Energy Stable Numerical Scheme for the Modified ...

A Decoupled Energy Stable Numerical Scheme for the Modified Cahn–Hilliard–Hele–Shaw System with Logarithmic Potential. Math. Probl. Eng. Pub ...

Decoupled, Energy Stable Numerical Scheme for the Cahn-Hilliard ...

In this paper, a decoupling numerical method for solving Cahn-Hilliard-Hele-Shaw system with logarithmic potential is proposed.

Second-order decoupled energy-stable schemes for Cahn-Hilliard ...

Our proposed framework lays a foundation for designing decoupled and energy stable numerical algorithms for hydrodynamic phase-field models. Furthermore, ...

Fully decoupled energy-stable numerical schemes for two-phase ...

In this case, one may modify the interface condition (2.16) to obtain energy dissipation law of the two-phase flow since interface conditions are critical for ...

A Decoupled Energy Stable Adaptive Finite Element Method for ...

The adaptive method is based on a linear, decoupled scheme introduced by Shen and Yang [30]. An unconditionally energy stable discrete law for the modified ...

A fully-decoupled energy stable scheme for the phase-field model of ...

We strictly prove the unconditional energy stability of the scheme and conduct a numerical simulation to show the accuracy and stability of the proposed scheme.

A second order numerical scheme of the Cahn-Hilliard-Navier ...

The unique solvability and the positivity-preserving analysis is provided in Section 3. A modified total energy stability estimate is ...

Fully-discrete, decoupled, second-order time-accurate and energy ...

We strictly prove that the scheme satisfies the unconditional energy stability and give a detailed implementation process. Various numerical examples are ...

A Decoupled Unconditionally Stable Numerical Scheme for the ...

The temporal discretization of the Cahn–. Hilliard equation is based on a convex-splitting of the associated energy functional. Moreover, the ...

Decoupled energy stable schemes for phase-field models of two ...

The same modification is also applied for g in the liquid crystal equation. Our numerical scheme reads as follows. Given the initial conditions d. 0. , φ.

Efficient numerical scheme for the anisotropic modified phase-field ...

The model is a nonlinear damped wave equation that includes an anisotropic Laplacian and a strong nonlinear vacancy term. ... The scheme leads to decoupled linear ...

Decoupled, Energy Stable Numerical Scheme for the Cahn-Hilliard ...

In this paper, a decoupling numerical method for solving Cahn-Hilliard-Hele-Shaw system with logarithmic potential is proposed. Combing with a convex-splitting ...

Error Analysis of a Decoupled, Linear Stabilization Scheme for the ...

The recent numerical methods, IEQ and SAV approaches, give us a general framework and permit us to develop the linear and unconditionally energy stable schemes ...

Efficient numerical schemes with unconditional energy stabilities for ...

... energy stable methods for the modified ... Novel, linear, decoupled and unconditionally energy stable numerical methods for the coupled Cahn–Hilliard equations.

Numerical Approximations of Diblock Copolymer Model Using a ...

Secondly, the scheme ensures unconditional energy stability, allowing for a large time step to be used without compromising solution stability.

Error analysis of positivity-preserving energy stable schemes for the ...

A new linear, totally decoupled, and energy stable scheme ... energy stable schemes for the modified phase field crystal model // Applied Numerical Mathematics.

A Second Order Numerical Scheme of the Cahn-Hilliard - Mathematics

The unique solvability and the positivity-preserving analysis is provided in Section 3. A modified total energy stability estimate is established in Section 4.

Efficient energy stable schemes for incompressible flows ... - Buyang Li

Additionally, for smaller time step size, 𝜉𝑛+1 approaches 1, indicating a more accurate approximation of numerical solution. The modified energy ...