NUMERICAL AND EXPERIMENTAL HYDRAULICS

Course objectives

The training goals are: to provide to the students the conceptual cornerstones of the main numerical methods that are used in numerical simulation of incompressible fluid flows; to offer to the students a training path from the mathematical formulation of an hydraulic problem to the designing of a numerical code for the solution of the problem.It is expected that students enlarge their knowledge in computational hydraulics by learning the conceptual cornerstones and mathematical tools for the numerical solution of an engineering problem in the field of hydraulics.

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GIOVANNI CANNATA Lecturers' profile

Program - Frequency - Exams

Course program
Ideal fluids Viscous fluids Flow kinematics Numerical methods for solving the equations of motion in hydraulics: Finite difference methods Taylor series expansions Integral methods: finite volume formulations The conservative property of a numerical scheme Explicit and implicit methods Stability criteria Accuracy of numerical schemes Methods for solving the stream function equation Richardson's method Successive over-relaxation (SOR) method Methods for solving the vorticity transport equation Implicit methods Explicit methods central difference methods upwind difference methods Numerical solution of the stream function equation by a finite difference method. Numerical solution of the vorticity and stream function equations by a finite difference method.
Prerequisites
There is no any prerequisite for this course. For a better comprehension of the topics of the course, basic knowledge in hydraulics are required.
Books
P. Roache. “Fundamentals of computatioanls fluid mechanics”. Hermosa Pub; Revised edizione (1 gennaio 2003). P. K. Kundu. "Fluid Mechanics". Academic Press, San Diego (1990).
Frequency
Attendance to the class is recommended but not mandatory.
Exam mode
The examination consists of an oral test in which the student knowledge of the subject and his ability to solve a computational problem are evaluated.
Bibliography
P. Roache. “Fundamentals of computatioanls fluid mechanics”. Hermosa Pub; Revised edizione (1 gennaio 2003). P. K. Kundu. "Fluid Mechanics". Academic Press, San Diego (1990).
Lesson mode
Lectures and exercises are given in the classroom.
  • Lesson code1032749
  • Academic year2025/2026
  • CourseCivil Engineering
  • CurriculumIngegneria Civile (percorso valido anche ai fini del conseguimento del doppio titolo italo-francese e italo-spagnolo)
  • Year2nd year
  • Semester1st semester
  • SSDICAR/01
  • CFU6