Enrollment year
2019/2020
Academic discipline
ICAR/01 (HYDRAULICS)
Department
DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE
Period
2nd semester (08/03/2021 - 14/06/2021)
Lesson hours
51 lesson hours
Prerequisites
Basic knowledge in Fluid Mechanics and Numerical Analysis
Learning outcomes
The course is intended to give to the student a basic knowledge of the numerical methods applied to the hydraulic and fluid dynamic analysis, learning to apply them with awareness, also through the use of dedicated software.
Course contents
Equations of fluid mechanics
Conservation of mass and momentum. Euler equations. Navier-Stokes equations.
Discretization methods
Finite Differences method. Accuracy, stability and numerical diffusion. Finite volumes method. Evaluation of flux terms.
Numerical solution of the Navier-Stokes equations
Linearization methods for the convective terms. Projection methods for the solution of the equations of motion of incompressible fluids. SIMPLE and PISO methods. Treatment of the free surface in Eulerian schemes: the VoF (Volume of Fluid) method.
Turbulence modelling
Turbulent flow theory. Reynolds-averaged equations. Turbulent kinetic energy and its dissipation. The k-epsilon method.
Smoothed Particle Hydrodynamics
Numerical techniques in a Lagrangian frame. Kerner approximation and particle approximation. SPH solution of the Navier-Stokes equations. Enforcement of boundary conditions.
Teaching methods
Lectures and practical classes with use of CFD software
Reccomended or required readings
J.H. Ferziger, M. Peric. Computational methods for fluid dynamics. Springer.
Assessment methods
The exam will consit in the discussion of a report, describing the simulations realized during the course
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