# Numerical simulation of transient flows

lgciv2054  2020-2021  Louvain-la-Neuve

Numerical simulation of transient flows
Due to the COVID-19 crisis, the information below is subject to change, in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
4 credits
20.0 h + 15.0 h
Q2
Teacher(s)
Language
English
Prerequisites
A good knowledge of basic hydraulics or fluid mechanics and open-channel flows (as taught e.g. in LGCIV1051 and LGCIV2051) is an asset but is not mandatory.
Main themes
Mathematical models and numerical resolution of transient flows in contexts such as:
• Water distribution networks
• Open-channel flows
• Natural rivers with morphological evolution
Aims
 At the end of this learning unit, the student is able to : 1 Contribution of the course to the program objectives (N°) AA1.1, AA1.2, AA2.1, AA2.2, AA2.3, AA2.4, AA2.5, AA3.1, AA3.2, AA3.3, AA4.2, AA4.4, AA5.2, AA5.3, AA5.6 Specific learning outcomes of the course More precisely, at the end of the course, the student will be able to : Calculate water hammers in a pipe network Calculate transient flows in rivers Evaluate the consequent morphological evolution
Content
1. Transient flows in pressurized pipe networks :
• Water hammer : rigid column theory
• Pressure waves
2. Free-surface transient flows
• One-dimensional flows
- Saint-venant equations, solutions by the method of characteristics
- Wave speed analysis
- Positive and negative waves
• Two-dimensional flow equations
• Numerical methods
- Finite-differences : Harten, Mac Cormack
- Finite-volume and shock-capturing methods
- Application : dam-break flow
3. Morphological evolution in rivers
• Numerical models (finite-differences, finite-volumes)
• Non-equilibrium sediment transport
• Applications : dam-break flows over mobile beds
Teaching methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Lectures for the theoretical concepts.
Practical applications through homewroks and projects.
Evaluation methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Continuous evaluation through homeworks and projects.
Oral exam for the theoretical part.
Online resources
Moodle web site with the lecture slides, some lecture notes, and other useful information.
Faculty or entity

#### Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Aims
Master [120] in Civil Engineering