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73346 - Simulation and Modelling in Fluid Dynamics

Academic Year 2018/2019

                
                        Docente:
                        Elisabetta De Angelis
                    
                        Credits:
                        6
                    
                        SSD:
                        ING-IND/06
                    
                        Language:
                        Italian
                    
                        Moduli:
                        
                            Elisabetta De Angelis
                            (Modulo 1)
                        
                            Andrea Cimarelli
                            (Modulo 2)
                        
                        Teaching Mode:
                        
                                    Traditional lectures (Modulo 1)
                                
                                    Traditional lectures (Modulo 2)
                                
                            Campus:
                            Forli
                        
                            Corso:
                            Second cycle degree programme (LM) in
                            Aerospace Engineering (cod. 8769)

                            Teaching resources on Virtuale

Learning outcomes

The course is meant to provide students with the tools to simulate and understand turbulent flows. This includes basic elements of computational fluid dynamics and turbulence modelling. The student learns how to apply statistical methods to analyse turbulent flows and use his/her comprehension in turbulence to select the appropriate simulation techniques for the various applications.

Course contents

1. Brief introduction to the equations of fluid mechanics and to the classical numerical schemes used for solving partial differential equations (Multi-step and Runge-Kutta methods and finite differences).

2. Convection-diffusion equations. Spectral methods. Modified wave number. Von Neumann stability.

3. Discretization techniques for the Navier-Stokes equations. Projection methods and solution for the Poisson equations. Optimization and parallelization.

4. Brief introduction to the physics of turbulence and to the related computational issues.

5. Simulation techniques for turbulent flows. Direct Numerical Simulation. Turbulence models for Reynolds Average Navier-Stokes simulations. Turbulence models for Large Eddy Simulations.

In the second part of the course students will be asked to carry out numerical simulations and statistical analysis of turbulent fields obtained under different forcing conditions.

Readings/Bibliography

1- "Fluidodinamica Numerica" - Lecture notes of Prof. C.M. Casciola.
2- "Computational methods for fluid dynamics" - Joel H. Ferziger and Milovan Peric (available in the library).
3- "Fluid mechanics, turbulent flow and turbulence modeling", lecture notes of Prof. Lars Davidson (freely available on web).
4- "Turbulent flows", Stephen B. Pope (available in the library).

Teaching methods

During lectures the subjects are presented by the teacher, including the explicit proofs of mathematical formulas introduced and to the presentation of the methods to solve the problems given in the practicing hours.

Assessment methods

At the end of the course the students will sustain a written exam followed by an oral discussion.

Teaching tools

LCD projector, overhead projector and PC are used in addition to the standard blackboard.

Office hours

See the website of Elisabetta De Angelis

See the website of Andrea Cimarelli