Abstract
In this work we extend the Particle Finite Element Method (PFEM) to multi-fluid flow problems with the aim of exploiting the fact that Lagrangian methods are specially well suited for tracking interfaces. We develop a numerical scheme able to deal with large jumps in the physical [...]
Abstract
In previous works [1,2], the authors have presented a highly efficient extension of the Particle Finite Element Method, called PFEM-2, to solve two-phase flows. The methodology which uses X-IVS [3] to treat convection terms allowing large time-steps was validated for problems where [...]
Abstract
A mathematical model coupling the heat and fluid flow with solidification and free surfaces is presented. The numerical method relies on an operator splitting strategy, and a two-grid method. The free surfaces are tracked with a volume-of-fluid approach. A special emphasis is laid [...]Abstract
In this study, a numerical approach is developed to simulate the molten pool formation during the melting of a powder bed. It is based on a fluid formulation that allows taking into account the dynamics in the molten pool through the two effects of surface tension (including both [...]