Lecturer: Carlo Lovadina  

Course name: Calcolo numerico per applicazioni idrodinamiche
Course code: 064023
Degree course: Ingegneria per l'Ambiente e il Territorio
Disciplinary field of science: MAT/08
L'insegnamento costituisce attività di base per: Ingegneria per l'Ambiente e il Territorio
University credits: CFU 3
Course website: n.d.

Specific course objectives

The main aim of the Course is to study the basic concepts of the numerical methods for PDEs, with a focus on those arising from fluid-dynamics applications.

Course programme

Some or all of the following topics will be studied.

Finite difference methods and finite element methods.
Elliptic problems: the 1D case. Extensions to the multidimensional case.

Finite element methods for advection-diffusion problems.
The 1D case: discrete solution behaviour for advection-dominated problems. Stabilization methods: artificial diffusion and streamline diffusion. Petrov-Galerkin schemes. Extension to the 2D case.

Finite element methods for parabolic problems.
Time discretization using the theta-method. Stability considerations.

Finite element methods for hyperbolic problems.

Course entry requirements

Basic Calculus for one and several variable real functions. Fundamentals of PDEs theory. Basic linear algebra. Fundamentals of Scientific Computing.

Course structure and teaching

Lectures (hours/year in lecture theatre): 17
Practical class (hours/year in lecture theatre): 11
Practicals / Workshops (hours/year in lecture theatre): 0
Project work (hours/year in lecture theatre): 0

Suggested reading materials

A. Quarteroni. Numerical models for differential problems. Springer, 2009.

Testing and exams

Oral final exam