Zeifang, JonasBeck, Andrea2023-05-262023-05-2620212096-63852661-88931847557120http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-130956http://elib.uni-stuttgart.de/handle/11682/13095http://dx.doi.org/10.18419/opus-13076Considering droplet phenomena at low Mach numbers, large differences in the magnitude of the occurring characteristic waves are presented. As acoustic phenomena often play a minor role in such applications, classical explicit schemes which resolve these waves suffer from a very restrictive timestep restriction. In this work, a novel scheme based on a specific level set ghost fluid method and an implicit-explicit (IMEX) flux splitting is proposed to overcome this timestep restriction. A fully implicit narrow band around the sharp phase interface is combined with a splitting of the convective and acoustic phenomena away from the interface. In this part of the domain, the IMEX Runge-Kutta time discretization and the high order discontinuous Galerkin spectral element method are applied to achieve high accuracies in the bulk phases. It is shown that for low Mach numbers a significant gain in computational time can be achieved compared to a fully explicit method. Applications to typical droplet dynamic phenomena validate the proposed method and illustrate its capabilities.eninfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/620article2023-03-28