Modeling / Multiphysics Simulation - 5PMPMSM9

Goal(s)

To give the basis for the use of a numerical calculation code for physical modeling

• Understand the different steps of numerical modeling (geometry, meshing, resolution, post-processing)
• Understand the best practices for the use of numerical codes for industrial applications
• Understand the modeling of different physics and their coupling

Content(s)

1- Introduction to modeling

• Objective of modeling in Engineering Sciences. Presentation of concrete cases.
• Contribution of numerical methods as a complement to the theoretical and experimental approach
• Simplifying assumptions (2D, temporal/permanent, etc.)
• Notion of similarity

2- Numerical modeling

• Introduction to Ordinary Differential Equation (ODE) and Partial Differential Equation (PDE)
• The 3 main types of discretization: Finite Difference, Finite Volume and Finite Element
• Direct/Iterative resolution - Implicit/Explicit
• Choice of a software tool adapted to the modeling needs
• What is parallel computing

+ various applications using the Comsol software.