Surface tension and viscosity with Lagrangian hydrodynamics on a triangular mesh
Journal of Computational Physics
Contour surgery: a topological reconnection scheme for extended integrations using contour dynamics
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
Modelling merging and fragmentation in multiphase flows with SURFER
Journal of Computational Physics
Motion of multiple junctions: a level set approach
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Direct simulations of 2D fluid-particle flows in biperiodic domains
Journal of Computational Physics
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Delaunay refinement mesh generation
Delaunay refinement mesh generation
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm
Journal of Computational Physics
A grid-alignment finite element technique for incompressible multicomponent flows
Journal of Computational Physics
Journal of Computational Physics
A mesh-dependent model for applying dynamic contact angles to VOF simulations
Journal of Computational Physics
Hi-index | 31.45 |
We present a moving mesh method suitable for solving two-dimensional and axisymmetric three-liquid flows with triple junction points. This method employs a body-fitted unstructured mesh where the interfaces between liquids are lines of the mesh system, and the triple junction points (if exist) are mesh nodes. To enhance the accuracy and the efficiency of the method, the mesh is constantly adapted to the evolution of the interfaces by refining and coarsening the mesh locally; dynamic boundary conditions on interfaces, in particular the triple points, are therefore incorporated naturally and accurately in a finite-element formulation. In order to allow pressure discontinuity across interfaces, double-values of pressure are necessary for interface nodes and triple-values of pressure on triple junction points. The resulting non-linear system of mass and momentum conservation is then solved by an Uzawa method, with the zero resultant condition on triple points reinforced at each time step. The method is used to investigate the rising of a liquid drop with an attached bubble in a lighter liquid.