Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
A continuum method for modeling surface tension
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator
FCRC '96/WACG '96 Selected papers from the Workshop on Applied Computational Geormetry, Towards Geometric Engineering
An extended pressure finite element space for two-phase incompressible flows with surface tension
Journal of Computational Physics
Hi-index | 31.45 |
We present a mesh moving method within a finite element context, where the interface conditions of a two-phase flow problem are conveniently included in suitable chosen subspaces of the general trial and testfunction spaces. A weak formulation of the two-phase flow problem including species transport is derived, where the problem specific function spaces are replaced by appropriate projections operating on standard function spaces. The transfer of the variational formulation to a finite element method is straightforward and results in one set of equations for both fluidic phases. This subspace projection method is applicable to a wide range of interfacial conditions for multiphase flow problems. The method is validated for single-drop flow problems including species transfer. Furthermore, an application to the simulation of stagnant caps is presented.