Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method

Authors:
Xiaofeng Yang;James J. Feng;Chun Liu;Jie Shen
Affiliations:
Department of Mathematics, Purdue University, West Lafayette, IN;Departments of Mathematics and Chemical and Biological Engineering, University of British Columbia, Vancouver, BC, Canada;Department of Mathematics, Pennsylvania State University, University Park, PA;Department of Mathematics, Purdue University, West Lafayette, IN
Venue:
Journal of Computational Physics
Year:
2006

Citing 7
Cited 13

Efficient spectral-Galerkin method I: direct solvers of second-and fourth-order equations using Legendre polynomials

SIAM Journal on Scientific Computing
Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries

SIAM Journal on Scientific Computing
An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries

Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows

Journal of Computational Physics
Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals

SIAM Journal on Numerical Analysis
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method

Journal of Computational Physics
A continuous surface tension force formulation for diffuse-interface models

Journal of Computational Physics

Short note: Spontaneous shrinkage of drops and mass conservation in phase-field simulations

Journal of Computational Physics
An adaptive mesh redistribution method for the incompressible mixture flows using phase-field model

Journal of Computational Physics
An efficient direct parallel spectral-element solver for separable elliptic problems

Journal of Computational Physics
An efficient moving mesh spectral method for the phase-field model of two-phase flows

Journal of Computational Physics
An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation

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

SIAM Journal on Scientific Computing
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
Multiphase image segmentation using a phase-field model

Computers & Mathematics with Applications
Energy law preserving C0 finite element schemes for phase field models in two-phase flow computations

Journal of Computational Physics
A gradient stable scheme for a phase field model for the moving contact line problem

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

Journal of Computational Physics

Quantified Score

Hi-index	31.50

Visualization

Abstract

We study the retraction and pinch-off of a liquid filament and the formation of drops by using an energetic variational phase field model, which describes the motion of mixtures of two incompressible fluids. An efficient and accurate numerical scheme is presented and implemented for the coupled nonlinear systems of Navier-Stokes type linear momentum equations and volume preserving Allen-Cahn type phase equations. Detailed numerical simulations for a Newtonian fluid filament falling into another ambient Newtonian fluid are carried out. The dynamical scaling behavior and the pinch-off behavior, as well as the formation of the consequent satellite droplets are investigated.