Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach
type: Item
instance of: scholarly article
title: Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach
zbMATH Open document ID: 1497.65157
author: Junxiang Yang
author: Junseok Kim
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2021-08-16T00:00:00Z
review text: The ternary Cahn-Hillard (CH) model has extensive applications in material and fluid fields. For such a problem, employing the classical scalar auxiliary variable (SAV) method incurs extra computational costs, due to the decoupling between local and non-local variables. The authors, using a modified scalar auxiliary variable approach (MSAV), propose linear, decoupled, and energy dissipation-preserving schemes for these fluid models. While inheriting the merits of the classical SAV method, viz., linear scheme and energy stability, the proposed method also allows for simpler calculations. For a single time iteration, one only needs to solve a set of linear equations by a step-by-step procedure, ensuring the high efficiency of the computation. Further, to accelerate the convergence, a fast linear multigrid algorithm is adopted to solve the resulting discrete systems. Various numerical tests are performed to illustrate the performance of the proposed methods.
reviewed by: Kanakadurga Sivakumar
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7382121
zbMATH Keywords: ternary Cahn-Hilliard fluids
zbMATH Keywords: efficient algorithm
zbMATH Keywords: energy dissipation
zbMATH Keywords: multigrid method
MaRDI profile type: Publication
full work available at URL: j.cnsns.2021.105923
OpenAlex ID: W3172401322
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DOI: 10.1016/J.CNSNS.2021.105923
description: scientific article; zbMATH DE number 7382121