This work is devoted to a review of different modifications proposed to enable compressible
flow solvers to compute accurately flows near the incompressible limit. First the reasons of …

An all speed scheme for the Isentropic Euler equations is presented in this paper. When the
Mach number tends to zero, the compressible Euler equations converge to their …

A conservative finite-volume framework, based on a collocated variable arrangement, for the
simulation of flows at all speeds, applicable to incompressible, ideal-gas and real-gas fluids …

Following our previous paper on a novel finite volume formulation for computing flows of any
Mach number, we present the multi-dimensional extension of the method in this paper …

Within the framework of diffuse interface methods, we derive a pressure‐based Baer–
Nunziato type model well‐suited to weakly compressible multiphase flows. The model can …

This paper presents a novel numerical formulation for computing flows of any Mach number.
The following features make the present scheme different from the existing works:(1) The …

This article deals with the development of a numerical method for the compressible Euler
system valid for all Mach numbers: from extremely low to high regimes. In classical fluid …

In the numerical simulation of fluid dynamic problems there are situations in which acoustic
waves are very fast compared to the average velocity of the fluid and conversely situations in …

In this paper we will present and analyze 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 …

In this paper, we propose implicit and semi-implicit in time finite volume schemes for the
barotropic Euler equations (hence, as a particular case, for the shallow water equations) and …