Titre/Title : The lattice Boltzmann method: Applications to Turbulence and Micromixing

Contact : Sedat Tardu (EDT)

Résumé/Abstract :

Since the work of Kim et al. (1987), Spalart (1988), direct numerical

simulation (DNS) has become an effective tool for studying turbulent

flows. In particular, DNS has greatly helped shedding some light in some

fundamental aspects of turbulence. While DNSs of turbulent flows are still

largely carried out by solving the Navier-Stokes equations, a relatively

new numerical approach is gaining momentum. The method, the lattice Boltzmman method (hereafter denoted LBM), started to be considered as a serious

numerical tool after Frisch et al (1986)} showed that Navier-Stokes

equations can be recovered from the lattice gas automata (LGA) that

predated the LBM. Since then, the LBM proved to be as effective as the

Navier-Stokes solvers (based either on spectral methods or finite

differences). In this seminar, the LBM will be briefly exposed and its

application to a few problems in turbulence and micromixing presented.

J. Kim, P. Moin & R. Moser,

Turbulence statistics in a fully developed Channel flow at low Reynolds

number,

J. Fluid Mech., 177,133-166 (1987).

P.R. Sparlart, Direct numerical of a turbulence boundary layer up to

Re_theta = 1400,

J. Fluid Mech., 187,61-98 (1988).

U. Frisch, B. Hasslacher, & Y. Pomeau, Lattice gas automata for the

Navier-Stokes equations. Phys. Rev. Lett. 56, 1505-1508 (1986)