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Engineering school in energy, water and environment

# Non-permanent free surface flows - 5EMHAAG0

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• #### Number of hours

• Lectures : 20.0
• Tutorials : 12.0
ECTS : 3.0

### Goals

Understand the physics and the modeling of unsteady flows in the rivers and canals (propagation of the tide, floods and of rapidly varying flows in the rivers and canals). Saint Venant equation formulation.
Design the volume of retention dams for flood protection.
Understanding the links between the physical reality, its perception and its modeling.
Brief presentation of the market software properties dealing with this problem.

Contact Eric BARTHELEMY

Content

1.- Introduction on the floods and floodings. Relinders on open channel hydraulics Hydraulics.
2.- One-dimensional free surface flows: the Barré de Saint-Venant PDE equations. Physical meaning of the different terms of the equations. Mathematical properties: the characteristics and the invariants.
3.- Physics of floods and their modeling. Kinematic and diffusive approximation. Example: the deterministic runoff.
4.- 1D numerical modeling of the equations: Preissman implicit scheme. Discretization, stability and quality of the numerical scheme. Initial conditions and limit conditions. Propagation celerity of a perturbation. 1D reduction of the reality: wire and rack model. Geometrical singularities: pressure drop particular to the works, confluences and distributaries.
5.- Flood alleviating structures: physical principles and optimisation of dams by a costs-benefits analysis
6.- Rapidly varying unsteady open channel flows dominates by inertia: shock and rarefaction waves. Sudden stop of a flow and dam breakage.

Prerequisites
• Steady open channel flow hydraulics
• Hyperbolic partial differential equations (characteristics)
• Statistics

Tests

The exam may be taken in french or in english

Final grade= 75% exam grade + 25% practical work grade

Additional Information

This course may be followed in french or in english

Curriculum->HOE->Semester 5

Bibliography

1. « Hydraulique et Dynamique Fluviale » Polycopié de G. Degoutte, ENGREF.
2. « The hydraulics of open channel flow: an introduction», H. Chanson, Butterworth-Heinemann, London.
3. « Open Channel Flow » FM Henderson, Prentice Hall
4. « Practical aspects of computational river hydraulics » Cunge JA Holly FM & Verwey A, Pitman (1980)
5. « Open Channel Flow » S.C. Jain, John Wiley & Sons

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## Version française

Ecole Nationale Supérieure de l'Energie, l'Eau et l'Environnement
21 avenue des Martyrs
CS 90624
38031 GRENOBLE CEDEX 1