Mechanical Engineering

Mechanical modelling 1) Governing equations of fluid mechanics 2) Weak formulation of the fluid dynamics equations 3) Governing equations of fluid mechanics in moving domains 4) Governing equations of structural mechanics 5) Updated and Total Lagrangian formulations of the governing equations of structural mechanics 6) Mesh moving techniques 7) FSI Interfaces Stabilized integral formulations and discretization 1) Basics of the Finite Element Method 2) Stabilized FEM formulation of the fluid dynamics equations 3) FEM formulation of the elasto-dynamics equations FSI coupling and computation techniques 1) Loosing coupling 2) Segregated coupling 3) Monolithic coupling 4) Selective scaling and preconditioning Exercises and practice 1) Basics of scientific programming 2) Finite element method in numerical environment 3) Simple FEM applications 4) Stabilized FEM incompressible Navier-Stokes equation in moving domains 5) FEM structure dynamics 6) FSI applications 7) Example of FSI applications with commercial simulation softwares

- Basis on fluid dynamics - Basis on solid mechanics

Bazilevs, Yuri, Kenji Takizawa, and Tayfun E. Tezduyar. Computational fluid-structure interaction: methods and applications. John Wiley & Sons.

Attendance to the course is in person and is not mandatory, but strongly recommended. The lessons are structured and conducted in a way that encourages active participation of the students, not only for the practical part but also in learning the theoretical concepts.

- Final project work (evaluation of a final report) - Oral exam

The weekly lessons are divided into: a) 70% dedicated to lectures, during which the instructor explains the concepts related to the lesson's theme with the help of the blackboard and slides. This is followed by a phase of questions and discussions on possible practical applications of the introduced concepts or on solving exercises aimed at setting up and deriving the numerical and discrete models associated with the mathematical formulations addressed. The remaining 30% of the lesson hours are dedicated to the practical application of the concepts and models discussed in class, involving the development and setup of scripts and software for solving typical case studies in computational fluid dynamics, nonlinear structural mechanics, and fluid-structure interaction with staggered and monolithic solvers.