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The 13 March 2017

Initiation to Lattice Boltzmann Methods

nasri |  

Announced
Deadline for registration: 15 days before the starting date of each training
Duration : 1 day / (6 hours)

Pre-registration

Abstract

For several years, a new method has emerged to solve flows numerically .
This approach called Lattice Boltzmann Method (LBM) is based on the resolution of the Boltzmann equation and not the Navier-Stokes ones (to notice: Navier-Stokes is an approximation of Boltzmann). LBM is based on gas kinetics theory; to obtain the macroscopic behavior of the fluid we work on a smaller physical scale (called mesoscopic) compared to conventional approaches.

This paradigm shift has several advantages. Boltzmann equations are simpler than the Navier-Stokes equations, this means a more compact solver, easier to write and maintain. Moreover arithmetic operations to be performed are local, this implies a high efficiency on parallel computers. But what makes this approach very promising for the future is its ability to handle very complex geometries without any difficulty.

This training aims to provide basic knowledge in the implementation of an LBM solver. This one day session will be devoted to explain the basic concept of the LBM, its implementation in a computer solver and to run (through practical work) simple applications on academic tests cases.
The aim is to provide a basic understanding of the LBM, which means that only isothermal low compressible flows will be presented. For the audience interested by a more advanced presentation of the LBM, CERFACS proposes an other training session presented by Pierre Sagaut (see the web).

Target participants

PhD students, engineers, researchers

Prerequisites

Basic knowledge in fluid mechanics and computational methods

 

Scientific contact : Jean-François BOUSSUGE

Fee

  • Trainees/PhDs/PostDocs : 50 €
  • CERFACS shareholders/CNRS/INRIA : 150 €
  • Public : 300 €

Program

  • Conceptual understanding of LBM
  • Derivation of the LBM equation
  • Numerical aspects of the LBM equation (stream and collide approach)
  • Implementation
    Collision operator
    Streaming operator
    Simple boundary condition
    Bounce back
    Periodic
  • Incorporate a forcing term
    Practical work
  • Study of a simple LBM solver
  • Application to academic test cases
    Poiseuille flow
    Couette flow
    Flow past a cylinder
    Lid driven cavity
    Double shear layer

 

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