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Fluid mechanics, acoustics - 2021

Lattice-Boltzmann methods for aerodynamics and aeroacoustics


This course will provide learners with a good understanding of Lattice Boltzmann methods (LBM) for numerical simulation in fluid mechanics. In particular, the possibilities of this approach will be discussed in terms of simulation in aerodynamics and aeroacoustics for industrial applications (aircraft, rotating machinery).


The course lasts 3 days (18 hours) and includes:

  • 6 hours of theory-based lessons illustrated with examples
  • 8 hours of practical exercises
  • 4 hours of panel discussion and summary


The course aims to provide good theoretical and practical training in Boltzmann network methods for engineers or researchers wishing to implement or conduct R&D projects based on LBM methods.

The main models and methods involved in the development of an LBM calculation code are presented as well as the steps for constructing these numerical methods (collision operators, kinetic schemes).

The objective is for learners to acquire or increase knowledge of the capabilities of the LBM approach for industrial applications (in particular as an addition to a Navier-Stokes approach).


Course level: Basic/Advanced

The course is for engineers or researchers with a good knowledge of fluid mechanics and numerical methods (Master's degree or engineering school).

The theoretical parts covered in this course can be found in the following works:

  • Kruger et al. The Lattice Boltzmann Method, principles and practice, Springer (2017)

Z. Guo and C. Shu. Lattice-Boltzmann Method and its application in engineering, Advances in CFD (2013)



Nicolas GOURDAIN :

Lecturer-Researcher at the Department of Aerodynamics, Energy and Propulsion at ISAE-SUPAERO (Institut Supérieur de l’Aéronautique et de l’Espace or National Higher French Institute of Aeronautics and Space).


Lecturer-Researcher at the Department of Aerodynamics, Energy and Propulsion at ISAE-SUPAERO.


  • Comparison of the Lattice Boltzmann methods (LBM) to numerical simulation in fluid mechanics.
  • Fundamental aspects of numerical resolution methods for LBM
    • Summary of the kinetic theory of gases
    • Collision models and kinetic schemes
    • Discretizations of the Boltzmann equations
    • Modeling turbulence (RANS, LES)
    • Dealing with walls and boundary conditions
  • Implementation of methods and applications
    • Construction of a code (implementation of kinetic schemes and collision models)
    • Application with a search code for simple cases
    • Application with an industrial code for application cases (aircraft, rotary machine)
  • Perspectives for going further (methods for taking into account compressibility effects, fluid-structure interactions)

An expectations-setting session will be organized at the end of the course as well as a synthesis session at the end of the course to discuss different aspects of the implementation of LBM methods.


Scheduled in French:

PARIS: 8 to 10 February 2021


For the English realization, please, consult us.


€1 450 excluding tax (20% VAT)

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