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

Authors:

Jie ShenAuthors Info & Claims

Journal of Computational Physics, Volume 218, Issue 1

Pages 417 - 428

https://doi.org/10.1016/j.jcp.2006.02.021

Published: 10 October 2006 Publication History

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.

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Cited By

Wang ZZhang WMao XChoi KLi S(2024)A consistent phase-field model for three-phase flows with cylindrical/spherical interfacesJournal of Computational Physics10.1016/j.jcp.2024.113297516:COnline publication date: 1-Nov-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.113297
Poudel SWang XLee S(2024)A novel technique for minimizing energy functional using neural networksEngineering Applications of Artificial Intelligence10.1016/j.engappai.2024.108313133:PDOnline publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1016/j.engappai.2024.108313
Sutti MVandereycken B(2024)Implicit Low-Rank Riemannian Schemes for the Time Integration of Stiff Partial Differential EquationsJournal of Scientific Computing10.1007/s10915-024-02629-8101:1Online publication date: 13-Aug-2024
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Index Terms

Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
1. Applied computing
  1. Physical sciences and engineering
    1. Mathematics and statistics
    2. Physics
2. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Partial differential equations
    2. Numerical analysis

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Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 218, Issue 1

10 October 2006

441 pages

ISSN:0021-9991

Issue’s Table of Contents

Publisher

Academic Press Professional, Inc.

United States

Publication History

Published: 10 October 2006

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Cited By

Wang ZZhang WMao XChoi KLi S(2024)A consistent phase-field model for three-phase flows with cylindrical/spherical interfacesJournal of Computational Physics10.1016/j.jcp.2024.113297516:COnline publication date: 1-Nov-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.113297
Poudel SWang XLee S(2024)A novel technique for minimizing energy functional using neural networksEngineering Applications of Artificial Intelligence10.1016/j.engappai.2024.108313133:PDOnline publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1016/j.engappai.2024.108313
Sutti MVandereycken B(2024)Implicit Low-Rank Riemannian Schemes for the Time Integration of Stiff Partial Differential EquationsJournal of Scientific Computing10.1007/s10915-024-02629-8101:1Online publication date: 13-Aug-2024
https://dl.acm.org/doi/10.1007/s10915-024-02629-8
Lan RLi JCai YJu L(2023)Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equationJournal of Computational Physics10.1016/j.jcp.2022.111695472:COnline publication date: 1-Jan-2023
https://dl.acm.org/doi/10.1016/j.jcp.2022.111695
Uzunca MKarasözen B(2023)Linearly implicit methods for Allen-Cahn equationApplied Mathematics and Computation10.1016/j.amc.2023.127984450:COnline publication date: 1-Aug-2023
https://dl.acm.org/doi/10.1016/j.amc.2023.127984
Zhang HYan JQian XChen XSong S(2021)Explicit Third-Order Unconditionally Structure-Preserving Schemes for Conservative Allen–Cahn EquationsJournal of Scientific Computing10.1007/s10915-021-01691-w90:1Online publication date: 19-Nov-2021
https://dl.acm.org/doi/10.1007/s10915-021-01691-w
Jing XWang Q(2020)Linear second order energy stable schemes for phase field crystal growth models with nonlocal constraintsComputers & Mathematics with Applications10.1016/j.camwa.2019.07.03079:3(764-788)Online publication date: 1-Feb-2020
https://dl.acm.org/doi/10.1016/j.camwa.2019.07.030
Liu HCheng AWang H(2020)A fast Galerkin finite element method for a space–time fractional Allen–Cahn equationJournal of Computational and Applied Mathematics10.1016/j.cam.2019.112482368:COnline publication date: 1-Apr-2020
https://dl.acm.org/doi/10.1016/j.cam.2019.112482
Xu ZYang XZhang H(2020)Error Analysis of a Decoupled, Linear Stabilization Scheme for the Cahn–Hilliard Model of Two-Phase Incompressible FlowsJournal of Scientific Computing10.1007/s10915-020-01241-w83:3Online publication date: 6-Jun-2020
https://dl.acm.org/doi/10.1007/s10915-020-01241-w
Jing XLi JZhao XWang Q(2019)Second Order Linear Energy Stable Schemes for Allen-Cahn Equations with Nonlocal ConstraintsJournal of Scientific Computing10.1007/s10915-019-00946-x80:1(500-537)Online publication date: 1-Jul-2019
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