The course aims at providing the fundamentals of the modern CFD techniques with particular emphasis on industrial applications.
CC2: In-depth knowledge and understanding of the theoretical-scientific aspects of mathematics and other basic sciences. To be able to use this knowledge to interpret and describe complex and/or interdisciplinary engineering problems.
CC3: Knowledge, understanding and use of scientific (computer and other) tools specific to the field of mechanical engineering design.
CA3: Applying knowledge and understanding related to the choice and application of appropriate analytical and modelling methods, based on mathematical and numerical analysis, in order to better simulate the behavior of components and plants in order to predict and improve their performance.
CA8: Applying knowledge and understanding related to the appropriate interpretation of the results of experimental tests, verification calculations and complex theoretical simulation processes, through the use of the computer, applying the acquired experimental, modeling, mathematical and informatics bases.
CA9: Applying knowledge and understanding related to the critically assessment of data and results, drawing appropriate conclusions, aware of the degree of uncertainty that may affect them.
CA12: Applying adequate knowledge and understanding to understand English texts.
CA15: Applying knowledge and understanding to achieve adequate preparation for tertiary level university studies (frequency to post-master's degree courses and doctoral schools) in order to further deepen knowledge and skills in research.
Learning Objectives - Part B
1) General objectives of the course
The course aims at providing the basic elements to understand the modern numerical modelling strategies used in the Computational Fluid Dynamics (CFD) as adopted in industrial applications. The objective is to describe the basic principles of the most used algorithms for the solution of the Navier-Stokes equations through the finite volume apporach, the most common model for the description of turbulence (RANS, LES and transition modelling). A basic overview of the reactive and two-phase flows modelling will also be given. In the final part of the course some practical exercise will be realized using both in-house or commercial CFD solvers.
2) Provided knowledge
In-depth knowledge and understanding of the theoretical-scientific aspects of engineering, with a specific reference to mechanical engineering, in which students are able to identify, formulate and solve, even in an innovative way, complex and/or interdisciplinary problems. The ability to understand a multidisciplinary context in the engineering field and to work with a problem solving approach
Knowledge, understanding and use of scientific (computer and other) tools specific to the field of mechanical engineering design.
Knowledge and understanding of numerical methods for the design and verification of mechanical components and/or systems, including numerical models for the correct representation of material behaviour. Knowledge of analysis types necessary to carry out the aforesaid design and verification activity according to the most recent requirements of the industrial world.
Knowledge and understanding of the machinery sector deepening the aspects properly connected with systems for energy production and transformation, with reference also to renewable energies and/or aspects related to propulsion systems. Understanding the role of different energy technologies in ensuring the environmental and economic sustainability of production.
3)Applying knowledge
Applying knowledge and understanding related to the choice and application of appropriate analytical and modelling methods, based on mathematical and numerical analysis, in order to better simulate the behavior of components and plants in order to predict and improve their performance.
Applying in-depth knowledge and understanding related to the choice and use of appropriate equipment, tools, procedures and methods, knowing their limits and potential; in particular the ability to conduct even complex experiments, manage and employ advanced instrumentation and software, with appropriate analytical capabilities.
Applying knowledge and understanding related to the appropriate interpretation of the results of experimental tests, verification calculations and complex theoretical simulation processes, through the use of the computer, applying the acquired experimental, modeling, mathematical and informatics bases.
Applying knowledge and understanding to achieve adequate preparation for tertiary level university studies (frequency to post-master's degree courses and doctoral schools) in order to further deepen knowledge and skills in research.
Teaching Methods - Part B
Oral lectures and practical exercises in laboratory
Type of Assessment - Part A
The assessment of the student requires the completion of some written assignments. The manuscripts must be presented and are assessed during the oral examination.
The student is asked to orally answer one or more questions to the end of assessing his/her ability to explain the course subjects.
The student must demonstrate his/her ability to apply methods and models discussed in classes for the solution of industrial problems.
Type of Assessment - Part B
Student evaluation will be based on an oral examination with some possibile practical exercise in laboratory. Questions will be about the basic theory of finite volume discretization, turbulence modelling, solution algorithm, discretization schemes.
Students hall show to have well caught the principles on which the different models are based, their numerical characteristics and limits of applicability, in order to have a proper understaing of their use in the industrial application.
Course program - Part A
Navier-Stokes equations
Finite volume discretization: time integration, implicit and explicit solvers, boundary conditions, source terms, iterative solutions of linear systems, introduction to parallel computing
Turbulence modelling: EVM, RSM, wall treatment
Large Eddy Simulation: SGS closures, Hybrid RANS-LES
Fundamentals of turbulent combustion:
Fundamentals of two-phase flows
Discussion of assignements
Course program - Part B
Navier-Stokes equations
-Introduction and recall of the basic constitutive laws.
-Laminar transport phenomena
-Non dimensional groups
-Finite volume discritization
-Basic elements of discretization
-Different type of computational meshes
-Spatial discretization of convective terms
-Upwind and higher order schemes
-Time discretization
-Explicit algorithm
-Implicit Algorithm
-Low Mach Pressure based
-SIMPLE, PISO, Coupled solvers
-High Mach Density based
-Viscous terms discreitization
-Accuracy, stability and convergence control
-Boundary condtions and source terms
-Main type of BCs
-Theory of characteristics
-Dirichlet, Neumann
-Non Reflective BC
-Examples
-Source term modelling
-Operator splitting
-Large Linear systems solution
-Direct and iterative methods
-Preconditioning (AMG)
-Parallel computing
-Domain decomposition, MPI
Turbulence modelling
-Reynolds (Favre) Averaged Navier-Stokes
-Equations
-Type of Closures
-Non Dimensional analysis – Reynolds Stress Tensor
-Eddy-Viscosity models
-K-eps., k-w families
-RSM models
-Near wall treatment
-Turbulent Boundary Layer
-Wall functions, Low Reynolds, Automatic Wall Treatment
-URANS
-Large Eddy Simulation
-Equations
-SGS closures
-Smagorinsky, WALE
-Near wall treatment
-Wall Resolved LES
-Hybrid RANS-LES
-DES, DDES, iDDES, SBES
-SAS
Turbulent combustion modelling
-Navier-Stokes equation with reactive flows reattivi
-TCI (Turbulence Combustion Interaction)
-Turbulent combustion regimes
-Eddy Dissipation models
-Flamelet models
-Flamelet Progress Variable o FGM
-(PDF transport, CMC
Two-phase flow modelling
-Introduction
-Discrete Phase Model with Lagrangian approach for spray modelling
-Eulerian-Eulerian models, VOF
-Cavitation modelling
Applications
-Use of RANS approach for aerodynamics
-Transition modelling
-Heat transfer and mixing problems
-Jet in Cross Flow, Swirling Flows, Stagnation point anomaly, Adverse pressure gradients
-Improvement with LES o Hybrid-LES
-Two-phase flows
-Liquid jet or liquid film atomization, Lubrication process