We consider the equations governing multicomponent reactive flows derived from the kinetic theory of dilute polyatomic reactive gas mixtures. It was shown in [2] that there exists a generalized entropy which allows to derive a symmetric conservative form of the system. In the framework of Kawashima’s and Shizuta’s theory, we had recast the resulting system into a normal form, that is, in the fo...

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...

This research describes the unsteady two-dimensional reacting flows around a circular cylinder. The numerical solution combines the random vortex method for incompressible two-dimensional viscous fluid flow with a Simple Line Interface Calculation (SLIC) algorithm for the propagation of flame interface. To simplify the governing equations, two fundamental assumptions namely Low Mach Number and ...

A hybrid multicode computational method is developed that allows combining compressible and low Mach number codes into a single computational solver. The proposed methodology can be used for integrated simulations ofmulticomponent engineering problems. Theunsteady couplingbetween the two codes is performedvia exchanging time-dependent state information through the interfaces using overlapping m...

The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed. Mathematics Subject Classification. 35Q30, 35Q35, 76G25. Plenary lecture, Low Mach Number Flows Conference, June 21-25, 2004, Porquerolles, France.

A full particle simulation study is carried out on the electron acceleration at a collisionless, relatively low Alfven Mach number (MA = 5), perpendicular shock. Recent self-consistent hybrid shock simulations have demonstrated that the shock front of perpendicular shocks has a dynamic rippled character along the shock surface of low-Mach-number perpendicular shocks. In this paper, the effect o...

An Adaptive Projection Method for Unsteady, LowMach Number Combustion R. B. PEMBER , L. H. HOWELL , J. B. BELL , P. COLELLA , W. Y. CRUTCHFIELD , W. A. FIVELAND & J. P. JESSEE To cite this article: R. B. PEMBER , L. H. HOWELL , J. B. BELL , P. COLELLA , W. Y. CRUTCHFIELD , W. A. FIVELAND & J. P. JESSEE (1998) An Adaptive Projection Method for Unsteady, Low-Mach Number Combustion, COMBUSTION SCI...

In this work, a simple semi-empirical model is proposed, based on Response Surface Model, RSM, to determine the shape of an attached oblique shock wave emanating from a pointed axisymmetric nose at zero angle of attack. Extensive supersonic visualization images have been compiled from various nose shapes at different Mach numbers, along with some others performed by the author for the present p...

10 In this work we extend the high-order Discontinuous Galerkin (DG) Finite element 11 method to inviscid low Mach number flows. The method here presented is designed 12 to improve the accuracy and efficiency of the solution at low Mach numbers using 13 both explicit and implicit schemes for the temporal discretization of the compress14 ible Euler equations. The algorithm is based on a classica...

The Low Mach Number Approximation (LMNA) is applied to 2D hydrodynamical modeling of Type I X-ray bursts on a rectangular patch on the surface of a non-rotating neutron star. Because such phenomena involve decidedly subsonic flows, the timestep increase offered by the LMNA makes routine simulations of these deflagrations feasible in an environment where strong gravity produces significant strat...