Speaker
Description
This presentation focuses on the development and application of Extended Discontinuous Galerkin (XDG) methods which has been developed to simulate multiphase flows with high accuracy. From a numerical point of view, the challenge of multiphase flows is the low regularity of the solution. Due to abrupt changes in density and viscosity and due to surface tension effecte, there are discontinuities in pressure velocity gradient. If evaporation is present, there is even a jump in velocity. The XDG method addresses these issues by offering high-accuracy approximations and solutions for such discontinuous phenomena. The fluid interface is embedded within a Cartesian background mesh and the discontinuous finite elements, defined on the background mesh are extended in a fashion so that they are capable of approximating singularities (e.g., jumps and kinks) in the pressure and the velocity field with a high order of accuracy.This talk aims to provide a comprehensive overview of the XDG methodology. Furthermore, various results of the application of the XDG method in multiphase flows will be show, e.g. droplet rebound, wetting- and dewetting and evaporating droplets on soft surfaces in a Leidenfrost state.
