A variationally consistent finite element approach to the two-fluid internal contact-line problem

DOI<711::AID-FLD77>3.0.CO;2-5 10.1002/1097-0363(20001230)34:8<711::AID-FLD77>3.0.CO;2-5zbMath0998.76048OpenAlexW2086520715MaRDI QIDQ2709427

Anthony T. Patera, Nicolas G. Hadjiconstantinou

Publication date: 16 April 2001

Full work available at URL: https://doi.org/10.1002/1097-0363(20001230)34:8<711::aid-fld77>3.0.co;2-5

zbMATH Keywords

iterative proceduresurface tensionincompressible viscous fluidfast convergencetwo-dimensional channelCrouzeix-Raviart elementtwo-fluid problemfluid meniscusglobal force balance compatibility conditionmoving internal contact linessteady-state interface shape

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Stratification effects in viscous fluids (76D50) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (2)

Finite element framework for describing dynamic wetting phenomena ⋮ Variationally derived discontinuity capturing methods: fine scale models with embedded weak and strong discontinuities

Cites Work

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• Spectral element solution of steady incompressible viscous free-surface flows
• Hybrid atomistic-continuum formulations and the moving contact-line problem
• Finite Element Methods in Mechanics
• A method for incorporating free boundaries with surface tension in finite element fluid-flow simulators
• The numerical simulation of the steady movement of a fluid meniscus in a capillary tube
• Variational formulation of three‐dimensional viscous free‐surface flows: Natural imposition of surface tension boundary conditions
• Numerical investigation of the dynamic influence of the contact line region on the macroscopic meniscus shape
• The fluid mechanics of slide coating

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