Ense3 rubrique Formation 2022

Open Channel Hydraulics (HOE / Master HCE) - 4EUS4HSL

  • Number of hours

    • Lectures 24.0
    • Projects -
    • Tutorials 16.0
    • Internship -
    • Laboratory works 20.0
    • Written tests 0


    ECTS 5.0


The presence of a free surface in certain flows is a source of complexity.
The objectives are that the students should be able to:

  • determine the water depth in an open channel for a given flow rate
  • draw and compute the shape of the free surface for gradually changing geometries
  • qualitatively predict the shapes of the free surface for flows within channel geometries that are rapidly varied (singularities).

In a Second part the course will focus on the modeling and numerical simulation of incompressible fluid with a free surface (shock capturing methods for the shallow water equations). It will comprise complements centered on the Navier Stokes equations modeling in primitive variables and an applications with structured programing.




Basic concepts in open channel flows: the Froude number, critical depth, the hydraulic jump.

The uniform flow: velocity vertical profile, flow resistance, Chézy equation, normal depth

Nonuniform flow in gradually varying channel sections: water depth computation in non uniform flows, channel controls.

Channel transitions: bottom step, channel contraction,
specific energy Hs, Hs-h diagram

Navier Stokes equation numerical resolution techniques in primitive variables with shock capturing techniques. A in-house Navier Stokes software will be used by the students during their personal project.


Fluid mechanics
Basic knowledge on ordinary differential equations


  • Specific credits: this course brings 6.0 ECTS to students in Semester S8 - M1 HCE

Session normale / First session
Contrôle continu / Continuous assessment (CC) :

  • 60% : projet "Ondes & propagation" / project "Waves & propagation"
  • 40% : 2 TP de 4h / 2 practical works of 4h
    Contrôle terminal / Final exam (CT) : épreuve écrite de 3h / 3 hours written exam

Session de rattrapage / Second session
La note obtenue remplace la note de CT / Another exam will replace the first one (CT)
Le CC n'est pas rattrapable / No retake for CC

CC 50% + CT 50%

The exam may be taken in french or in english FR FR


The course exists in the following branches:

see the course schedule for 2023-2024

Additional Information

Course ID : 4EUS4HSL
Course language(s): FR

You can find this course among all other courses.


«Open channel flow», Henderson (1966).
«Open channel hydraulics», French (1986).
«Hydraulique fluviale», Graf (1993).
«Constructions hydrauliques», Sinniger & Hager (1989).
«Open channel hydraulics», T.W. Sturm (2001).
«Open-channel flow», S.C. Jain (2000).
«The hydraulics of open channel flow: an introduction », H. Chanson (2004)