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

This paper presented an efficient and unconditionally stable method for studying the modified Cahn–Hilliard–Hele–Shaw system with logarithmic potential.

A decoupled unconditionally stable numerical scheme for the modified Cahn–Hilliard–Hele–Shaw system with logarithmic potential is proposed in this paper.

Research Article A Decoupled Energy Stable Numerical Scheme for ...

A Decoupled Energy Stable Numerical Scheme for the Modified. Cahn–Hilliard–Hele–Shaw System with Logarithmic Potential. Xianxia Wang. College of Mathematics ...

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

PDF | A decoupled unconditionally stable numerical scheme for the modified Cahn–Hilliard–Hele–Shaw system with logarithmic potential is proposed in this.

A Decoupled Energy Stable Numerical Scheme for the Modified

A decoupled unconditionally stable numerical scheme for the modified Cahnâ€“Hilliardâ€“Heleâ€“Shaw system with logarithmic potential is proposed in this ...

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

By Xianxia Wang and Abdellatif Ben Makhlouf; Abstract: A decoupled unconditionally stable numerical scheme for the modified Cahnâ€“Hilliardâ€“Heleâ€“Shaw ...

(PDF) A Decoupled Energy Stable Numerical Scheme for the ...

(DOI: 10.1155/2022/7104389) A decoupled unconditionally stable numerical scheme for the modified Cahn–Hilliard–Hele–Shaw system with logarithmic potential ...

Uniquely solvable and energy stable decoupled numerical schemes ...

-Darcy (CHSD) model for two-phase flows in karstic geometry. In the first numerical scheme, we explore a fractional step method (operator splitting) to decouple ...

Linear and unconditionally energy stable schemes for the modified ...

In this paper, two temporal discrete numerical schemes of the modified phase field crystal equation are presented by introducing a Lagrange multiplier U and ...

A fully-decoupled second-order-in-time and unconditionally energy ...

Fu and Han [17] developed a linear, coupled second-order-in-time, unconditionally energy-stable numerical scheme based on the SAV method. This method requires ...

Highly efficient, decoupled and unconditionally stable numerical ...

In this paper, we consider efficient and energy-stable numerical schemes for solving a modified phase-field crystal model with a strong nonlinear vacancy ...

Decoupled, Energy Stable Schemes for Phase-Field Models of Two ...

Furthermore, all of these elliptic equations are linear for the schemes based on stabilization, making them the first, to the best of the authors' knowledge, ...

Analysis of a Linearized Energy Stable Numerical Scheme for a ...

In this paper, a linearized energy stable numerical scheme is used to solve the modified Cahn-Hilliard-Navier-Stokes model, which is a phase-field model for ...

Novel linear decoupled and unconditionally energy stable numerical ...

In this paper, we propose a novel numerical approach to construct unconditionally energy stable schemes for the modified phase field crystal (MPFC) model.

Linearly Decoupled Energy-Stable Numerical Methods for ...

In this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multicomponent two-phase compressible flow with a ...

DECOUPLED, ENERGY STABLE SCHEMES FOR PHASE-FIELD ...

Decoupled, energy stable numerical schemes. We recall that in a rec paper ... term in the convective velocity and modify the above scheme as follows: i ...

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

Furthermore, the scheme is linearized and energy stable. Hence, at each time step one need only solve a linear elliptic system for each of the ...

A second order in time, decoupled, unconditionally stable numerical ...

As in the case of Cahn-Hilliard-Navier-Stokes system [19], we show that our scheme is uniquely solvable, mass-conservative and satisfies a modified energy law ...

Decoupled, Energy Stable Schemes for Phase-Field Models of Two ...

Decoupled, energy stable numerical schemes. We recall that in a recent paper ... term in the convective velocity and modify the above scheme as follows:.

Conservative Unconditionally Stable Decoupled Numerical ...

We rigorously show that the schemes are mass and heat-energy conservative. We establish that the numerical methods satisfy modified discrete ...