Advanced numerical methods for free-surface hydrodynamics
Lecturer: Prof. Vicenzo Casulli
Aim
This short course consists of a structured intensive two week programme of 30 hours of lectures on advanced numerical methods for the computation of large scale problems in free-surface hydrodynamics. The underlying mathematical models are derived from the incompressible Navier-Stokes equations. Specifically, a fully three-dimensional hydrostatic model, two-dimensional models using lateral and horizontal averaging, and the one-dimensional open-channel equations are derived and discussed. Numerically, semi-implicit Eulerian-Lagrangian finite difference schemes on regular Cartesian and orthogonal unstructured grids are proposed. A new rigorous and nonlinear treatment of wetting and drying is included and computer implementation of different numerical models are suggested.
Timetable 2017
January 2017 |
Hours |
Room |
Monday 16 |
9:30 – 12:30 |
2 B |
Tuesday 17 |
9:30 – 12:30 |
2 B |
Wednesday 18 |
9:30 – 12:30 |
2 B |
Thursday 19 |
9:30 – 12:30 |
2 B |
Friday 20 |
9:30 – 12:30 |
2 B |
Monday 23 |
9:30 – 12:30 |
2 B |
Tuesday 24 |
9:30 – 12:30 |
2 B |
Wednesday 25 |
9:30 – 12:30 |
2 B |
Thursday 26 |
9:30 – 12:30 |
2 B |
Friday 27 |
9:30 – 12:30 |
2 B |
Duration
30 hours (4 ECTS)
Registration: in order to access the course, please send an e-mail to dicamphd [at] unitn.it