EU Digital Methods 2 - 4PUMMNU2

Informations générales

  • Number of hours

    • Lectures 0
    • Projects 0
    • Tutorials 0
    • Internship 0
    • Laboratory works 0

    ECTS

    ECTS 4.0

Goal(s)

Part 1. Numerical Methods
The overall objective of the two Numerical Methods courses is to provide students with the means to solve various problems related to modeling in engineering science (differential equations, partial differential equations, optimization, etc.). We use a tool (Matlab or Python) that is both a computing environment, a computer language, and a numerical toolbox. The ultimate goal is to become an informed user, i.e., to know how to answer the question: which method for which problem?
In the “Numerical Methods 2” course, we mainly cover the finite element method, along with related numerical tools: interpolation, integration, and system solving.

Part 2. Implementation of divided materials
Acquire technical knowledge on manufacturing processes using divided materials.
Understand the physical and chemical phenomena involved in these processes.
Quantitatively determine the relevant process parameters.

Contact Remy DENDIEVEL, Alexis DESCHAMPS, Fabien VOLPI, David JAUFFRES

Content(s)

Part 1. Numerical methods

  • Numerical interpolation (1D, 2D, 3D)
  • Numerical integration (1D, 2D, 3D)
  • Finite element method (projective approach, weak formulation, meshing)
  • Solving linear systems (direct methods, indirect methods, gradient methods)
  • Solving nonlinear systems + optimization.

Part 2. Implementation of divided materials
Synthesis and characterization of metal and ceramic powders
Shaping divided systems
Physics of sintering
Case studies and environmental impact of powder processes



Prerequisites

Part 1. Numerical Methods
UE Numerical Methods 1

Part 2. Implementation of Divided Materials
UE Development

Test

Same conditions for sessions 1 and 2.
Part 1. Numerical methods
2-hour written exam + computer-based exam. All course materials permitted.

Part 2. Implementation of divided materials
1-hour written exam. All materials permitted, calculator permitted.



Additional Information

Course list
Curriculum->SIM->Semester 7

Bibliography

Partie 1. Méthodes numériques

  • Computational Materials Science, Raabe D., Wiley-VCH, Weinheim, 1998.
  • Numerical recipes : http://www.nr.com/

Partie 2. Mise en oeuvre des matériaux divisés
Bouvard D., Métallurgie des Poudres, Traité "Mécaniques et Ingénierie des Matériaux,
Hermes, Paris (2002)
German, R.M., Sintering: from empirical observations to scientific principles, B-H / Elsevier, Oxford (2014)