首页|Error analysis of a decoupled, linear and stable finite element method for Cahn-Hilliard-Navier-Stokes equations

Error analysis of a decoupled, linear and stable finite element method for Cahn-Hilliard-Navier-Stokes equations

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  • NSTL
  • Elsevier
In this paper, we carry out the error analysis for a totally decoupled, linear and unconditionally energy stable finite element method to solve the Cahn-Hilliard-Navier-Stokes equations. The fully finite element scheme is based on a stabilization for Cahn-Hilliard equation and projection method for Navier-Stokes equation, as well as the first order Euler method for time discretization. A priori error analysis for phase field, velocity field and pressure variable are derived for the fully discrete scheme.(c) 2022 Elsevier Inc. All rights reserved.

Cahn-Hilliard equationNavier-Stokes equationProjectionsError analysisPHASE-FIELD MODELSNUMERICAL SCHEMEALLEN-CAHNENERGY2ND-ORDERTIMEAPPROXIMATIONS

Yi, Nianyu、Chen, Yaoyao、Huang, Yunqing

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Xiangtan Univ

Anhui Normal Univ

2022

10.1016/j.amc.2022.126928

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN：0096-3003
年,卷(期)：2022.421
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