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Fluid mechanics, acoustics - 2021

Digital mechanical simulation of compressible fluids


This course covers the calculation methods for the mechanical digital simulation of compressible fluids, in particular those developed in large codes used for industrial applications.


The course lasts 5 days (30 hours) and includes:

  • 19 x 1.5-hours lectures illustrated with examples or practical exercises
  • 1 panel discussion


The course aims to provide good basic training on the theory and practice of advanced digital methods to engineers dealing with specific fluid mechanic issues.

The main models and methods involved in the development of a calculation code are presented as well as the steps for constructing the methods of resolution.

The objective is to acquire or supplement knowledge of CFD (Computational Fluid Dynamics) methods necessary to understand simulation results and their sensitivity to the physical and digital models used.


Course level: Advanced

The course is for engineers or researchers with a good knowledge of applied mathematics and a basic knowledge of fluid mechanics (master's degree or engineering school).

The ideas developed in this course can be found in part in the following works:

  • C.A.J. Fletcher "Computational Techniques for Fluid Dynamics" Vol.1 and 2, Springer 1991
  • Ch. HIRSCH, “Numerical Computation of Internal and External Flows”, John Wiley & Sons 1988. Second editions ELSEVIER Science 2007



Head of the Research Unit "Digital Methods for Fluid Mechanics" in the Department of Digital Flow Simulation and Aeroacoustics at ONERA


  • The different stages of CFD: Physical models, numerical methods, simulation codes
  • Fundamental aspects of digital resolution methods
    • Summary of the equations of fluid mechanics
    • Introduction to the digital methods for evolution equations
    • Dealing with boundary conditions and connections
    • Resolution of large linear systems
    • Methods of solving the Euler and Navier-Stokes equations
    • Digital simulation of turbulence (DNS, LES)
  • Implementation of methods and applications
    • Mesh construction: generation, optimization, adaptation
    • Different methods of discretization by emphasizing the "finite volumes" approach
    • Behavior of turbulence models in the RANS approach
    • Optimization of methods for complex applications (accuracy, robustness, cost calculation)
    • Examples of applications (fundamental and realistic)

A recap session will be organized at the end of the course to illustrate different aspects of software usage and the application of the methods presented.

Pre-processing, simulation, post-processing


Scheduled in French:

PARIS: September 27 to October 1st, 2020


For the English realization, please, consult us.


€1,980 excluding tax (20% VAT)

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