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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