Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities
A new diffuse interface model for a two-phase flow of two incompressible fluids with different
densities is introduced using methods from rational continuum mechanics. The model fulfills …
densities is introduced using methods from rational continuum mechanics. The model fulfills …
[图书][B] Numerical methods for two-phase incompressible flows
This book is the first monograph providing an introduction to and an overview of numerical
methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations …
methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations …
Uniqueness and regularity for the Navier--Stokes--Cahn--Hilliard system
The motion of two contiguous incompressible and viscous fluids is described within the
diffuse interface theory by the so-called Model H. The system consists of the Navier--Stokes …
diffuse interface theory by the so-called Model H. The system consists of the Navier--Stokes …
Efficient, adaptive energy stable schemes for the incompressible Cahn–Hilliard Navier–Stokes phase-field models
In this paper we develop a fully adaptive energy stable scheme for Cahn–Hilliard Navier–
Stokes system, which is a phase-field model for two-phase incompressible flows, consisting …
Stokes system, which is a phase-field model for two-phase incompressible flows, consisting …
Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density
We consider in this paper numerical approximations of two-phase incompressible flows with
different densities and viscosities. We present a variational derivation for a …
different densities and viscosities. We present a variational derivation for a …
A numerical method for the quasi-incompressible Cahn–Hilliard–Navier–Stokes equations for variable density flows with a discrete energy law
In this paper, we investigate numerically a diffuse interface model for the Navier–Stokes
equation with fluid–fluid interface when the fluids have different densities [48]. Under minor …
equation with fluid–fluid interface when the fluids have different densities [48]. Under minor …
Fully discrete second-order linear schemes for hydrodynamic phase field models of binary viscous fluid flows with variable densities
We develop spatial-temporally second-order, energy stable numerical schemes for two
classes of hydrodynamic phase field models of binary viscous fluid mixtures of different …
classes of hydrodynamic phase field models of binary viscous fluid mixtures of different …
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities
We prove existence of weak solutions for a diffuse interface model for the flow of two viscous
incompressible Newtonian fluids in a bounded domain in two and three space dimensions …
incompressible Newtonian fluids in a bounded domain in two and three space dimensions …
Global existence of weak solutions to a nonlocal Cahn–Hilliard–Navier–Stokes system
A well-known diffuse interface model consists of the Navier–Stokes equations nonlinearly
coupled with a convective Cahn–Hilliard type equation. This system describes the evolution …
coupled with a convective Cahn–Hilliard type equation. This system describes the evolution …
On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility
We prove existence of weak solutions for a diffuse interface model for the flow of two viscous
incompressible Newtonian fluids in a bounded domain by allowing for a degenerate …
incompressible Newtonian fluids in a bounded domain by allowing for a degenerate …