On Low Mach Number Preconditioning of Finite Volume Schemes

Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation

In this paper we will present and analyse a new class of the IMEX finite volume schemes for the Euler equations with a gravity source term. We will in particular concentrate on a singular limit of weakly compressible flows when the Mach number M ≪ 1. In order to efficiently resolve slow dynamics we split the whole nonlinear system in a stiff linear part governing the acoustic and gravity waves ...

Behaviour of upwind schemes in low Mach number flow

In the present work, we are interested in the direct numerical simulation of the compressible Euler and Navier Stokes equations at low Mach number regime. First, we propose a review of existing work on the subject in order to identify the issues raised by the simulation of in this kind of flow, and the existing relevant solutions. Then, we will test different selected compressible low Mach solv...

On the behavior of upwind schemes in the low Mach number limit: II. Godunov type schemes

This paper presents an analysis of Godunov scheme in the low Mach number regime. We study the Riemann problem and show that the interface pressure contains acoustic waves of order OðM Þ where M is the reference Mach number even if the initial data are well-prepared and contain only pressure fluctuations of order OðM2 Þ. We then propose to modify the fluxes computed by Godunov type schemes by so...

Conservative high-order finite-difference schemes for low-Mach number flows

Adaptive hp-Finite Element Method for Low Mach Number Flows

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...