The paper presents a lattice Boltzmann (LB) method for premixed and nonpremixed combustion simulations with nonreflective boundary conditions, in contrast to Navier–Stokes solvers or hybrid schemes. current approach employs different sets of distribution functions flow, temperature species fields, which are fully coupled. discrete equilibrium density distributions obtained from the Hermite expa...

In this paper, we study the behaviour at low Mach number of numerical schemes based on staggered discretizations for barotropic Navier-Stokes equations. Three time are considered: implicit-in-time scheme and two non-iterative pressure correction schemes. The last differ by discretization convection term: linearly implicit first one, so resulting is unconditionnally stable, explicit second stabl...

Multiphase, compressible and viscous flows are of crucial importance in a wide range scientific engineering problems. Despite the large effort paid last decades to develop accurate efficient numerical techniques address this kind problems, current models need be further improved realistic applications. In context, we propose approach simulation multiphase, where an incompressible phase interact...

SUMMARY An asymptotic analysis of the compressible Euler equations in the limit of vanishing Mach numbers is used as a guideline for the development of a low Mach number extension of an explicit higher order shock capturing scheme. For moderate and large Mach numbers the underlying explicit compressible ow solver is active without modiication. For low Mach numbers, the scheme employs an operato...