Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity
type: Item
instance of: scholarly article
title: Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity
zbMATH Open document ID: 1504.65190
author: Chuanjun Chen
author: Xiaofeng Yang
published in: Science China. Mathematics
publication date: 2022-11-29T00:00:00Z
review text: The authors consider the numerical approximation of the variable-density/viscosity CH-NS (Cahn-Hilliard-Navier-Stokes model) of an incompressible binary fluid flow system. One of the main facts to deal with is the approximation of the nonlinear coupling terms contained in the model. A novel fully-decoupled numerical scheme is developed which can achieve unconditional energy stability while explicitly discretizing nonlinear coupling items. The scheme is semi-discrete time-marching and it needs to solve a series of completely independent linear elliptic equations at each time step, in which the Cahn-Hilliard equation and the pressure Poisson equation are the constant coefficient. Some numerical tests are presented to show the effeciency of the proposed scheme.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65M22
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7625342
zbMATH Keywords: variable-density
zbMATH Keywords: decoupled
zbMATH Keywords: time marching
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: energy stability
MaRDI profile type: Publication
full work available at URL: s11425-021-1932-x
OpenAlex ID: W4220738442
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DOI: 10.1007/S11425-021-1932-X
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