A Low Mach Number IMEX Flux Splitting for the Level Set Ghost Fluid Method

Abstract Considering droplet phenomena at low Mach numbers, large differences in the magnitude of occurring characteristic waves are presented. As acoustic often play a minor role such applications, classical explicit schemes which resolve these suffer from very restrictive timestep restriction. In this work, novel scheme based on specific level set ghost fluid method and an implicit-explicit (IMEX) flux splitting is proposed to overcome A fully implicit narrow band around sharp phase interface combined with convective away interface. part domain, IMEX Runge-Kutta time discretization high order discontinuous Galerkin spectral element applied achieve accuracies bulk phases. It shown that for numbers significant gain computational can be achieved compared method. Applications typical dynamic validate illustrate its capabilities.