In the practice of his profession, an engineer will often find himself confronted by problems involving complex physical phenomena. In such a context recourse to modelling (analytical or digital) appears obvious, but the growing complexity of models will often lead the engineer towards numerically obtained approximate solutions (typically the Finite Element method (FE).
Today, numerical simulation is used in numerous industrial fields in research and development: solid mechanics, fluid mechanics, materials science, astrophysics, nuclear physics, aeronautics, climatology, meteorology, theoretical physics, quantum mechanics, biology, chemistry ..
Numerical simulation refers to the process whereby programmes are run on a computer with a view to representing a physical phenomenon. Scientific numerical simulations rely on the application of theoretical models. They are therefore an adaptation of mathematical models to numerical means. They serve to study the functioning of system properties and to predict their evolution.
The construction of a physical model (using mathematical equations), followed by the elaboration of a numerical strategy, thus represent the central task for an engineer confronted by a scientific problem. Future engineers can therefore acquire:
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