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Home > Free-surface hydrodynamics (Advanced Numerical Methods for)

Free-surface hydrodynamics (Advanced Numerical Methods for)

Prof. Vincenzo Casulli, Prof. Michael Dumbser

Timetable 2013-2014

20 - 31 January 2014

Hours

Room

Jan. 20 - 21

9:00-13:00

 A2

Jan. 22

9:00-13:00

 B2

Jan. 23 - 24

9:00-13:00

 B1

Jan. 27 - 31

9:00-13:00

 P1

Jan. 20 - 31 (excluded Sat. & Sunday) (Dumbser)

13:30-18:00

 PC-OVEST

Final assessment

to be decided

 

Programme

Mathematical Models:

• Convection-Diffusion Equations
• The Navier-Stokes Equations
• A Three-Dimensional Hydrostatic Model
• A Vertically Averaged Model (2Dxy)
• A Laterally Averaged Model (2Dxz)
• The Open Channel Equations (1D)

Numerical Methods:

• Explicit Upwind Methods
• Implicit Upwind Methods
• Eulerian-Lagrangian Methods
• An Equation for the Free Surface
• Semi-Implicit Finite Difference Methods
• Elementary methods in linear algebra: the Thomas Algorithm
and the Conjugate Gradient Method.

Laboratory Exercise:

• With MATLAB, the participants will implement a semi-implicit finite difference scheme using an Eulerian-Lagrangian approach for the convection terms for the open channel equations (1D) as well as for the vertically averaged model (2Dxy), the laterally averaged model (2Dxz) as well as for the full 3D model. 
• A new rigorous treatment for wetting and drying, which is a very frequent problem in civil and environmental engineering, is also part of the laboratory exercises.

IMPORTANT NOTICE: all external students, scholars and professionals interested in the course can participate upon payment of the fees as specified in the file downloadable from the box below.