A two-phase diffuse-interface model for Hele-Shaw flows with large property contrasts

DOI10.1016/j.physd.2008.06.010zbMath1407.76035OpenAlexW2040703044MaRDI QIDQ1000691

J. Martínez

Publication date: 10 February 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.06.010

zbMATH Keywords

Hele-Shaw flowstwo-phase flowsdiffuse-interface method

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Free convection (76R10) Capillarity (surface tension) for incompressible viscous fluids (76D45) Liquid-gas two-phase flows, bubbly flows (76T10) Other free boundary flows; Hele-Shaw flows (76D27)

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Implementation of the ghost fluid method for free surface flows in polyhedral finite volume framework, A comparison study of the Boussinesq and the variable density models on buoyancy-driven flows, Phase-field modeling of bubble growth and flow in a Hele-Shaw cell

Cites Work

• Diffuse interface modeling of two-phase flows based on averaging: mass and momentum equations
• Sharp interface tracking using the phase-field equation
• Calculation of two-phase Navier-Stokes flows using phase-field modeling
• Modeling melt convection in phase-field simulations of solidification
• A phase-field model of solidification with convection
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Modeling pinchoff and reconnection in a Hele-Shaw cell. I. The models and their calibration
• Modeling pinchoff and reconnection in a Hele-Shaw cell. II. Analysis and simulation in the nonlinear regime
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• Quantitative phase-field modeling of dendritic growth in two and three dimensions