ME-476 / 4 crédits

Enseignant(s): Gaume Johan Alexandre Philippe, Li Xingyue

Langue: Anglais

Withdrawal: It is not allowed to withdraw from this subject after the registration deadline.


Summary

This course provides an introduction to particle-based methods for the numerical resolution of partial differential equations describing continuum phenomena or for the simulation of particulate flows. Details are given for the Material Point Method (MPM) and the Discrete Element Method (DEM).

Content

Keywords

Numerical simulation, Fluid and granular flow, Slope stability, Material Point Method, Discrete element method

Learning Prerequisites

Required courses

  • Numerical analysis
  • Discretization methods (e.g. finite differences, finite elements, finite volumes)
  • Advanced fluid and solid mechanics
  • Continuum mechanics

Important concepts to start the course

  • Numerical simulation in fluid or solid mechanics

Learning Outcomes

By the end of the course, the student must be able to:

  • Describe the difference between the Eulerian and Lagrangian approaches
  • Identify and apply the different steps in a numerical simulation (e.g. geometry and mesh generation, computation, post-processing) and integrate all the essential basic concepts in a numerical flow simulation
  • Describe different methods used to discretize differential equations, such as finite differences, finite elements, MPM, SPH, PFEM
  • Perform a numerical simulation with appropriate software; understand the limits of each software in terms of its application domain and accuracy of the results obtained

Transversal skills

  • Give feedback (critique) in an appropriate fashion.
  • Use both general and domain specific IT resources and tools
  • Summarize an article or a technical report.
  • Make an oral presentation.
  • Write a scientific or technical report.
  • Assess one's own level of skill acquisition, and plan their on-going learning goals.

Teaching methods

Lectures, literature review, analysis of scientific articles, group talks, practical numerical simulations, individual mini-project

Expected student activities

  • Interactivity in the classroom
  • Literature search and private study
  • Oral presentations in groups and individually
  • Mini-project (written report and oral presentation)

Assessment methods

Continuous evaluation by group talks, article oral presentation and mini-project written report & oral presentation.

Supervision

Office hours No
Assistants Yes
Forum No

Resources

Bibliography

Course material is available on-line; various reference texts

Moodle Link

Dans les plans d'études

  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Particle-based methods
  • Cours: 1 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • TP: 2 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Particle-based methods
  • Cours: 1 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • TP: 2 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Particle-based methods
  • Cours: 1 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • TP: 2 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Particle-based methods
  • Cours: 1 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • TP: 2 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Particle-based methods
  • Cours: 1 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • TP: 2 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Particle-based methods
  • Cours: 1 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • TP: 2 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Pendant le semestre (session d'hiver)
  • Matière examinée: Particle-based methods
  • Cours: 1 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • TP: 2 Heure(s) hebdo x 14 semaines

Semaine de référence

 LuMaMeJeVe
8-9   CM1110
MAA110
 
9-10   CM1110
MAA110
 
10-11   CM1110
MAA110
 
11-12    
12-13     
13-14     
14-15     
15-16   CO4
CM1221
 
16-17   CO4
CM1221
 
17-18   CO4
CM1221
 
18-19    
19-20     
20-21     
21-22     

Jeudi, 8h - 9h: Cours CM1110
MAA110

Jeudi, 9h - 10h: Exercice, TP CM1110
MAA110

Jeudi, 10h - 12h: Exercice, TP CM1110
MAA110

Jeudi, 15h - 16h: Cours CO4
CM1221

Jeudi, 16h - 17h: Exercice, TP CO4
CM1221

Jeudi, 17h - 19h: Exercice, TP CO4
CM1221