A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

Authors:
Jie Shen;Xiaofeng Yang
Affiliations:
shen@math.purdue.edu;xfyang@math.sc.edu
Venue:
SIAM Journal on Scientific Computing
Year:
2010

Citing 0
Cited 10

A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line

Journal of Computational Physics
First-order system least squares and the energetic variational approach for two-phase flow

Journal of Computational Physics
Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density

SIAM Journal on Numerical Analysis
A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios

Journal of Computational Physics
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy

SIAM Journal on Numerical Analysis
Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids

Journal of Computational Physics
An adaptive pressure correction method without spurious velocities for diffuse-interface models of incompressible flows

Journal of Computational Physics
A GPU parallelized spectral method for elliptic equations in rectangular domains

Journal of Computational Physics
Two-phase flow with mass density contrast: Stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model

Journal of Computational Physics
An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach

Journal of Computational Physics

Quantified Score

Hi-index	0.04

Visualization

Abstract

Modeling and numerical approximation of two-phase incompressible flows with different densities and viscosities are considered. A physically consistent phase-field model that admits an energy law is proposed, and several energy stable, efficient, and accurate time discretization schemes for the coupled nonlinear phase-field model are constructed and analyzed. Ample numerical experiments are carried out to validate the correctness of these schemes and their accuracy for problems with large density and viscosity ratios.