Generalized Navier boundary condition and geometric conservation law for surface tension

DOI10.1016/j.cma.2008.09.011zbMath1229.76037arXiv0804.1563OpenAlexW1986716031MaRDI QIDQ658154

Tony Lelièvre, Jean-Frédéric Gerbeau

Publication date: 11 January 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1563

zbMATH Keywords

arbitrary Lagrangian-Eulerian methodgeometric conservation lawgeneralized Navier boundary conditionenergy stability analysismoving contact line problem

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10) Capillarity (surface tension) for incompressible viscous fluids (76D45)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Finite element approximation of the Navier-Stokes equations
• Level set approach to mean curvature flow in arbitrary codimension
• Volume of fluid (VOF) method for the dynamics of free boundaries
• Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
• A level set approach for computing solutions to incompressible two-phase flow
• Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations
• An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows
• Hybrid atomistic-continuum formulations and the moving contact-line problem
• On the significance of the geometric conservation law for flow computations on moving meshes
• Simulations of MHD flows with moving interfaces.
• Theory and practice of finite elements.
• Godunov type method on non-structured meshes for three-dimensional moving boundary problems
• Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
• Boundary conditions for the moving contact line problem
• The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow
• Moving contact lines in liquid/liquid/solid systems
• L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>

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