Short course given by **Prof. Sauro Succi**,

Istituto Applicazioni Calcolo, CNR,

Roma, Italy.

### Scope

The lattice Boltzmann equation (LBE) is a minimal form of Boltzmann kinetic equation, which is meant to simulate the dynamic behaviour of fluid flows without directly solving the equations of continuum fluid mechanics. Instead, macroscopic fluid behavior emerges from the underlying dynamics of a fictitious ensemble of particles, whose interactions are confined to a regular space-time lattice with sufficient symmetry to ensure the correct macroscopic conservation laws. Initially intended as an alternative to discretization of the Navier-Stokes equations of continuum fluid mechanics, in the last decade the LBE has demonstrated an amazing capability of straddling across a broad range of scales of fluid motion, ranging from fully developed turbulence, all the way down to nanoscopic flows of biological interest and, more recently, relativistic flows. Recently such schemes for electromagnetic wave propagation have been proposed which require addressing the basic issue that, unlike hydrodynamics, electromagnetic interactions are governed by an anti-symmetric Yang-Mills tensor, a structure that does not naturally appear in standard kinetic theory.

In this series of lectures, after expounding the basic notions behind LB theories, we shall discuss selected applications from current cutting-edge research in the field, such as the modeling of fluid turbulence, the rheology of soft-glassy materials and wave propagation.

"The Lattice Boltzmann Equation for Fluid Dynamics and Beyond". Oxford University Press. ISBN 0198503989, (2001).

### Schedule

All lectures and seminars are in the seminar room 122:026 in the Nordita Astro Building, Roslagstullsbacken 17.

Tuesday, 15 May | 10:30 - 12:00 | Lecture |
Video (part 1) |

Wednesday, 16 May | 10:30 - 12:00 | Lecture |
Video (part 2) (part 3) |

13:30 - 14:30 | Astrophysics Seminar on "Hydrokinetic Aapproach to Fluid Turbulence" |
||

Thursday, 17 May | 10:30 - 12:00 | Lecture |
Video (part 4) (part 5) |

Friday, 18 May | 10:30 - 12:00 | Lecture |
Video (part 6) (part 7) |