A thermodynamically consistent model for two-phase incompressible flows with different densities. Derivation and efficient energy-stable numerical schemes
type: Item
instance of: scholarly article
title: A thermodynamically consistent model for two-phase incompressible flows with different densities. Derivation and efficient energy-stable numerical schemes
author: Mireille El Haddad
author: Giordano Tierra
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2022-01-26T00:00:00Z
Mathematics Subject Classification ID: 76T06
zbMATH DE Number: 7464491
zbMATH Keywords: phase-field
zbMATH Keywords: two-phase flow
zbMATH Keywords: finite elements
zbMATH Keywords: energy stability
zbMATH Keywords: variable density
zbMATH Keywords: splitting schemes
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: j.cma.2021.114328
OpenAlex ID: W3217547908
cites work: Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density''
cites work: Quasi–incompressible Cahn–Hilliard fluids and topological transitions
cites work: A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law
cites work: Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities
cites work: Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model
cites work: Splitting Schemes for a Navier-Stokes-Cahn-Hilliard Model for Two Fluids with Different Densities
cites work: Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density
cites work: An energy stable algorithm for a quasi-incompressible hydrodynamic phase-field model of viscous fluid mixtures with variable densities and viscosities
cites work: A diffuse domain method for two-phase flows with large density ratio in complex geometries
cites work: Energetic variational approach in complex fluids: maximum dissipation principle
cites work: On energetic variational approaches in modeling the nematic liquid crystal flows
cites work: Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids
cites work: A diffuse-interface method for simulating two-phase flows of complex fluids
cites work: An \(L^ \infty\) bound for solutions of the Cahn-Hilliard equation
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: A diffuse interface model for electrowetting with moving contact lines
cites work: A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines
cites work: Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
cites work: Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
cites work: Q4174811
cites work: Reciprocal Relations in Irreversible Processes. II.
cites work: Two-phase incompressible flows with variable density: an energetic variational approach
cites work: A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
cites work: A splitting method for incompressible flows with variable density based on a pressure Poisson equation
cites work: Q4343204
cites work: Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
cites work: New development in freefem++
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: An overview of projection methods for incompressible flows
DOI: 10.1016/J.CMA.2021.114328
Recommended article: Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities
Recommended article: A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
Recommended article: Diffuse-interface two-phase flow models with different densities: A new quasi-incompressible form and a linear energy-stable method
Recommended article: Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model
Recommended article: Compressible two‐phase flow modelling based on thermodynamically compatible systems of hyperbolic conservation laws
Recommended article: Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density
Recommended article: Numerical resolution for a compressible two-phase flow model based on the theory of thermodynamically compatible systems
Recommended article: Two-phase incompressible flows with variable density: an energetic variational approach
Recommended article: Thermodynamically consistent modeling and simulation of multi-component two-phase flow with partial miscibility
Recommended article: Consistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flows
description: scientific article; zbMATH DE number 7464491