Moving mesh strategy for simulating sliding and rolling dynamics of droplets on inclined surfaces with finite element method

DOI10.1016/j.cma.2022.115404OpenAlexW4293236068WikidataQ114196724 ScholiaQ114196724MaRDI QIDQ2083096

Filip Ivančić, Maxim A. Solovchuk

Publication date: 10 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.cma.2022.115404

zbMATH Keywords

arbitrary Lagrangian-Euleriandiscrete energy balancedynamic contact linesliding/rolling droplets

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Unnamed Item
• Modelling and simulation of moving contact line problems with wetting effects
• Generalized Navier boundary condition and geometric conservation law for surface tension
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Geometric surface evolution with tangential contribution
• Volume of fluid (VOF) method for the dynamics of free boundaries
• An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows
• Elimination of spurious velocities generated by curvature dependent surface force in finite element flow simulation with mesh-fitted interface
• Finite element procedures for computing normals and mean curvature on triangulated surfaces and their use for mesh refinement
• Energy stable arbitrary Lagrangian Eulerian finite element scheme for simulating flow dynamics of droplets on non-homogeneous surfaces
• Finite elements on evolving surfaces
• Boundary conditions for the moving contact line problem
• Rolling droplets
• The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow
• L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>
• Numerical Models of Surface Tension
• Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines
• Mixed Finite Element Methods and Applications
• New development in freefem++
• Arbitrary Lagrangian Eulerian-Type Finite Element Methods Formulation for PDEs on Time-Dependent Domains with Vanishing Discrete Space Conservation Law
• A variational approach to moving contact line hydrodynamics
• Analysis of finite element methods for vector Laplacians on surfaces