The convective period leading up to a Type Ia supernova (SN Ia) explosion is characterized by very low Mach number flows, requiring hydrodynamic methods well-suited to long-time integration. We continue the development of the lowMach number equation set for stellar-scale flows by incorporating the effects of heat release due to external sources. Low Mach number hydrodynamics equations with a ti...

In order to enrich the modelling of uid ows, we investigate in this paper a coupling between two models dedicated to distinct regimes. More precisely, we focus on the in uence of the Mach number as the low Mach case is known to induce theoretical and numerical issues in a compressible framework. A moving interface is introduced to separate a compressible model (Euler with source term) and its l...

Flow configurations in the low-Mach number regime usually lead locally to large gradients in the velocity field as well as in the temperature variable. Such structures including boundary layers are typical in the study of e.g. heat transfer problems or more generally in situations where compression effects are mainly due to thermodynamical effects (see e.g. [1]). We propose a method based on hp...