Università degli Studi di Napoli "Parthenope"

Teaching schedule

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Year of study: 
Second semester
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Course description

The design and the management of the interventions for the hydraulic risk reduction in coastal areas require a basic knowledge of flow propagation models and extreme hydrology. The course is intended to help the students in acquiring the theoretical foundation and the practical skills required for the hydraulic modelling of flow propagation on flooded areas. The theoretical contents are accompanied by a project application.

***Learning outcomes***

1) Knowledge and understanding

The student must demonstrate knowledge and understanding of the fundamentals of the following topics:
- Advanced topics in Hydraulics
- Mathematical models for the simulation of flow propagation on flooded areas
- European regulations;
- basics of Climate change.

The student will be able to implement methodologies appropriate for solving complex problems, both systematically and creatively.

2) Ability to apply knowledge and understanding

The student will acquire the ability to use their knowledge to critically, independently and creatively solve problems with some originality in new contexts. In particular, the following abilities are developed:
- physical and mathematical characterisation of flooding problems in coastal areas;
- critical use of mathematical and numerical flow propagation models.
These abilities are concretely trained by means of a project exercise.

3) Autonomy of judgement

The student will be able to make sound judgments about hydraulic risk reduction problems in coastal areas, even on the basis of incomplete information:
- evaluation of project characteristics;
-benchmarking of different and competitive projects;
- evaluation hydraulic softwares performance;
- evaluation of project outcomes, also with reference to social and environmental impacts.

4) Communication skills

The students will be able to communicate clearly and unambiguously about the main issues in the field of the hydraulic risk management in coastal areas. In particular, the students will be able to:
- communicate properly during the oral examination;
- collaborate with their peers in a working group, defining objectives, activities, and tools;
- present and discuss a project with both specialist and non-specialist audiences.

5) Learning skills

The students willl be able to identify and address learning needs for further knowledge, take responsibility for further professional development.


The following courses and competencies are prerequisites:
- Hydraulics
- Hydraulic works



- Advanced topics in Hydraulics and Fluid Mechanics (18 hours class)

One- and two-dimensional Shallow water Equations.Sea waves and maritime hydraulics principles.

- Mathematical models for the simulation of flow propagation in rivers and on flooded areas (18 hours class)

Introduction to the Hyperbolic partial differential equations. The color equation: analytic solution with the method of characteristics. Inviscid Burger’s equations. Analytic solution of the Burger’s equation with the method of characteristics. Integral form of conservation laws and weak solutions. Vanishing viscosity solutions. Linearization of non-linear equations Rankine-Hugoniot theorem. Self-similar solutions of the Riemann problem: moving finite-amplitude discontinuities, Riemann fan. Stability of moving finite-amplitude discontinuities (shocks). Hyperbolic systems of partial differential equations. Riemann problem for linear hyperbolic systems. Characteristic fields in the SWEs. Propagation celerity of finite and infinitesimal amplitude discontinuities in the SWEs. Froude number and physical interpretation. Method of characteristics for the SWEs. Boundary conditions. Shock curves. Rarefaction curves. Solution of the Riemann problem. Special cases: the dam-break problem. Introduction to the Finite Volume method. Riemann problem at the interface between cells.

Project assignment. (12 hours class)

Teaching Methods

During the course, learning is mainly subdivided in the following activities:
- class (theory)
- group (not individual) project exercise at home
- class (numerical exercises, and verification of home project exercise).
The reference texts can be downloaded from the teacher's website.


- J.A. Cunge, F.M. Holly Jr., A. Verwey, Practical aspects of computational river hydraulics, Institute of Hydraulic Research, Iowa University
- LeVeque R.J., Finite-volume methods for hyperbolic problems, Cambridge University Press.
- C. Montuori, Complementi di Idraulica, Liguori
-DIRECTIVE 2007/60/EC on the assessment and management of Flood risks
- The World Bank, Implementing nature based flood protection
- Shore Protection Manual

Learning assessment

The final examination is in oral form. The student is scrutinized with respect to the theoretical content of the course, and the project exercise is discussed.
The student must prove of having understood the theoretical and practical issues related to the project exercise, and his/her ability to use the numerical tools.
On request by the student, the oral exam can be conducted in English language.

More information

Office hours for students:
Friday, 11:00-13:00
By appointment (e-mail)