We present a streamline-upwind/Petrov±Galerkin (SUPG) algorithm for the solution of the compressible Euler equations at low Mach numbers. The Euler equations are written in terms of entropy variables which result in Jacobian matrices which are symmetric. We note that, in the low Mach number limit, the SUPG method with the standard choices for the stabilization matrix fail to provide adequate st...

This article is concerned with the kinetic modeling, by means of the Vlasov equation, of charged particles under the influence of a strong external electromagnetic field, i.e. when ε2, the dimensionless cyclotron period, tends to zero. This leads us to split the velocity variable in the Vlasov equation into fluid and random components. The latter is supposed to have a large magnitude of order 1...

We aim at justifying rigorously the low Mach number asymptotics for a model of compressible fluid coupled to the radiation. For simplicity, we restrict ourselves to the barotropic situation, and adopt the so-called P1-approximation to model the effects of radiation. We focus on small perturbations of stable constant equilibria. In the critical regularity framework, we establish estimates indepe...

In this study, modeling of a fuel jet which has been injected by high pressure into a low-pressure tank are investigated. Due to the initial conditions and the geometry of this case and similar cases (like CNG injectors in internal combustion engines (ICE)), the barrel shocks and Mach disk are observed. Hence a turbulence and transient flow will be expected with lots of shocks and waves. Accord...

This paper is devoted to the low Mach number limit of weak solutions to the compressible Navier-Stokes equations for isentropic uids in the whole space R d (d = 2 or 3). This problem was investigated by P.L. Lions and N. Masmoudi 19]. We present here a diierent approach based upon Strichartz' estimates for the linear wave equation like in 21] in the inviscid case, which improves the convergence...