EFS7AD Numerical methods for mechanics and energetics | ECTS Credits : 2 Duration : 21 hours
| Semester : S7 |
Person(s) in charge: Mathieu Jenny, Associate Professor, mathieu.jenny@mines-nancy.univ-lorraine.fr |
Keywords : Thermal transfer, Heat exchanger
|
Prerequisites : Mathematica, matrix calculus, general knowledge in fluid mechanics and heat transfer
|
Objective : Get basic knowledge in numerical methods to solve fluid mechanics or heat transfer problems |
Program and Contents:
The object of this module is to initiate students to the main numerical methods for solving engineering problems in heat and mass transfer: finite differences, finite elements, finite volumes. The students will program these methods in simple cases using Mathematica. This course prepares the smart end-use of commercial codes like Fluent, used in Research and Development. The aim is not to become a excellent user of industrial codes but to open the “black boxes” of these softwares so as to understand how they are designed. This knowledge gives students the means to use numerical methods smartly (choice of methods, etc.). The utilization, strictly speaking, of commercial codes can be learned in the elective course CET45 and in the 3rd year course SE151 of the Energy Department. Content :- Discretization principles of partial differential equations : finite differences, finite elements, finite volumes; explicit vs implicit schemes.
- Newton’s method, Gaussian elimination, LU decomposition)
- Programming with Mathematica: stationary and nonstationary spatial problems
|
Abilities : |
Levels
| Description and operational verbs |
Know | the discretization methods and principles |
Understand
| the discretization methods and principles in order to choose the appropriate ones |
Apply | programming stationnary and nonstationnary one dimension problems using Mathematica
|
Analyse
| the results returned by a code keeping in mind its functioning and limits |
Summarise | |
Assess
| |
Evaluation : |
|
|
|
|
|