Abstract Over the past two decades, there has been much development in discontinuous Galerkin methods for incompressible flows and compressible with a positive Mach number, but almost no attention paid to variable-density at low speeds. This paper presents pressure-based method flow low-Mach number limit. We use pressure correction method, which is simplified by solving mass flux instead of vel...

We illustrate some fundamental alterations of the solar wind – magnetosphere interaction that occur during low Mach number solar wind. We first show that low Mach number solar wind conditions are often characteristic of coronal mass ejections (CME), and magnetic clouds in particular. We then illustrate the pivotal role of the magnetosheath. This comes from the fact that low Mach number solar wi...

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 (...