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

Yaoyao Chen, Yunqing Huang and Nianyu Yi

Applied Mathematics and Computation, 2022, vol. 421, issue C

Abstract: 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.

Keywords: Cahn–Hilliard equation; Navier–Stokes equation; Projections; Error analysis (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000145

DOI: 10.1016/j.amc.2022.126928

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