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CES7AB

Numerical Complex-System modelling and simulation

ECTS Credits : 4

Duration : 36 hours

Semester : S7

Person(s) in charge :

 Hervé COMBEAU, Professor,  herve.combeau@mines-nancy.univ-lorraine.fr

Keywords :

 Finite element method, Finite volume method, System dynamics

Prerequisites: None

Objective: Modeling and simulating real systems

Programs and contents :

With the current evolution of technology, an engineer is required to carry out projects that are more and more complex, costly and subjected to constraints that are more and more rigorous. In this context, numerical simulation is a precious tool, situated at the crossroads of several disciplines such as engineering sciences, mathematics, and informatics.

Being a quintessential interdisciplinary technique, numerical simulation makes it possible to examine concrete situations in their genuine complexity. Moreover, because it can do “numerical experiments”, numerical simulation facilitates a student’s understanding of physical phenomena.

This course furnished the basics for understanding two major classes of problems:

• Resolving conservation equations derived from continuum mechanics (heat or mass transfer, mechanics of deformable solids, fluid mechanics)

• Non linear dynamic systems. Nature is non linear and often chaotic. This nature is complex, but the simple models sometimes help in understanding the phenomena even if they fail to predict them.

The aim of this course is also to offer a working methodology. By having classes held in the machine room, experiments can be carried out directly on examples of applications chosen not only in physics, but also in astronomy, Earth and life sciences, meteorology, and in economy and finance. This work will use Mathematica program libraries, Fortan and demonstration versions of professional simulators.

Abilities : 

Levels

Description and operational vocabulary

Know

The main methods used to solve differential equations in industrial codes : finite volumes and finite elements as well as the methodology used to solve a problem.

Understand

The global approach used to modelise and simulate a real problem.

Apply 

Know how to apply this approach to real cases.

Analyse

Analyser the result of a simulation

Summarise

Decided whether a result is accurate and know how to deduce from a set of results trends.

Assess

Evaluation :

•  Written test

•  Continuous Control

•  Oral report

•  Project

•  Rapport