NUMERICAL THERMO-FLUID DYNAMICS
Academic year and teacher
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- Versione italiana
- Academic year
- 2022/2023
- Teacher
- STEFANO PIVA
- Credits
- 9
- Didactic period
- Primo Semestre
- SSD
- ING-IND/10
Training objectives
- The objective of the course is to supply the theoretical and practical elements, to agree an aware use of the technologies of Computational Fluid Dynamics in industrial area. Nevertheless, will not be neglected some important theoretical points to check of the models.
Prerequisites
- The basic knowledges of thermodinamic and heat engineering.
A basic knowledge of "Industrial Informatics" is recommended. Course programme
- Introduction to fluid flow. Equations of the fluid motion: continuity equation, energy equation, Navier-Stokes equation. Geometrical, kinematical and dynamical similitude.
Turbulence and its modelling. Features of turbulence: turbulence fluctuations and Reynolds decomposition, the energy cascade and Kolmogorov law. Turbulence models based on time averaging: general features, turbulent viscosity models, k-epsilon model and its variations, boundary conditions and wall functions.
Numerical methods for computational thermo-fluid-dynamics (CFD). The discrete approach.
Finite difference method (FDM). The replacing of differential equations with linear algebraic systems. An overview of the methods for solving a system of linear equations: direct methods, iterative methods.
Weighed Residuals Method.
Finite elements method (FEM).
Finite volume method (FVM) for incompressible fluids. Control volume formulation: transport equation; computational grid; space discretization; integration in time. Procedures for the solution of the flow problem: SIMPLE method and its variations SIMPLEC and SIMPLEX.
Applications (30 hours). Didactic methods
- Theoretical lessons on the topics of the course and exercises that regard the numerical solution of Thermal problems and Thermo-Fluid Dynamics problems by means to programs in Matlab language. The exercises consist in the calculation of the temperature distribution in transient and steady regime in 2-D and 3-D domains for different boundary conditions by means to FDM and FVM. (30 hours)
Learning assessment procedures
- To take final test is necessary to send via e-mail (at least one week before the date fixed for verification), reports and computer programs done during the course. The check consists in three questions, the first of which concerns the numerical programming inherent the arguments of the course (for example, discretization of domains 1-D, 2-D, 3-D, the discretization of the differential equations in one or more variables, assignment of conditions congruence in domains discrete). Verification is formally oral but the candidate must answer questions in writing. The correct answer to the first question allows further discussion with two successive questions about the topics presented in class. Reports submitted, if properly executed ,jointly contribute to the final assessment.
Reference texts
