1. Home
  2. Fundamental sciences
  3. Mathematics
  4. Introduction to the Lattice Boltzmann Method for Fluid Mechanics

  5. Towards the Bolzmann network method (LBM)

Article | REF: BM5220 V1

Introduction to the Lattice Boltzmann Method for Fluid Mechanics

Authors: Sylvain MARTIN, Olivier BONNEFOY

Publication date: December 10, 2019

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!

Français

2. Towards the Bolzmann network method (LBM)

2.1 Introduction of the linearized collision term

The Boltzmann equation describes the temporal and spatial evolution of the f function, with a highly complex collision term. However, this distribution tends towards a known equilibrium. With this in mind, it's tempting to simplify the collision term. Indeed, for a distribution close to equilibrium, it is possible to linearize the collision, i.e. to consider that the function f evolves linearly towards equilibrium:

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!

The Ultimate Scientific and Technical Reference

A Comprehensive Knowledge Base, with over 1,200 authors and 100 scientific advisors
+ More than 10,000 articles and 1,000 how-to sheets, over 800 new or updated articles every year
From design to prototyping, right through to industrialization, the reference for securing the development of your industrial projects

This article is included in

Mathematics

This offer includes:

Knowledge Base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

Practical Path

Operational and didactic, to guarantee the acquisition of transversal skills

Doc & Quiz

Interactive articles with quizzes, for constructive reading

Subscribe now!

Ongoing reading
Towards the Bolzmann network method (LBM)
Outline