2019/09/27 by Lukas Ostrowski, Ostrowski, Lukas, Christian Rohde +1 · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Thin Films #math.AP #msc:65M60 #msc:76T99 #nanoparticles nucleation surface interactions #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1909.12556
arxiv created 2019/09/27 · arxiv updated 2019/09/30
We consider the impingement of a droplet onto a wall with high impact speed. To model this process we favour a diffuse-interface concept. Precisely, we suggest a compressible Navier--Stokes--Allen--Cahn model. Basic properties of the model are discussed. To cope with the fluid-wall interaction, we derive thermodynamically consistent boundary conditions that account for dynamic contact angles. We briefly discuss an discontinuous Galerkin scheme which approximates the energy dissipation of the system exactly and illustrate the results with a series of numerical simulations. Currently, these simulations are restricted to static contact angle boundary conditions.