Politecnico di Torino  
Anno Accademico 2017/18  
01RMFND, 01RMFMW Computational thermal fluid dynamics 

Corso di Laurea Magistrale in Ingegneria Energetica E Nucleare  Torino Corso di Laurea Magistrale in Ingegneria Chimica E Dei Processi Sostenibili  Torino 





Presentazione
The course focuses on what is commonly called Computational Fluid Dynamics (CFD). The core of the course is devoted to the development and application of methods for the numerical solution of 1D and 2D/3D thermalfluid dynamics problems, using the finite difference (1D) or the finite volume (2D/3D) approaches. Some emphasis is also put on the fundamental concepts of benchmark, verification and validation.

Risultati di apprendimento attesi
Through this course the student is expected to acquire a good knowledge of the abovementioned methods, as well as the ability to perform simple CFD simulations using the commercial software STARCCM+. The student should also acquire a good knowledge of the procedure needed to confirm the quality/accuracy of the numerical solution of a given thermalfluid dynamic model.

Prerequisiti / Conoscenze pregresse
As a minimum, the knowledge coming from traditional introductory courses in thermal fluid dynamics, e.g. from the course "Termofluidodinamica" in the Energy engineering BSc program at Politecnico di Torino, as well as in numerical analysis ("Calcolo numerico"), will be taken for granted. The former includes a basic knowledge of NavierStokes equations. The latter includes: basic numerical linear algebra (direct and iterative methods for the solution of large algebraic sets of equations), elementary methods for the numerical solution of nonlinear algebraic problems, numerical quadrature formulae, numerical integration of ordinary differential equations (initial value problems), together with some basic knowledge of MATLAB. As a reference for the students enrolled in the Energy and Nuclear engineering MSc program at Politecnico di Torino, the knowledge acquired in the course "Introduction to computational heat transfer" will be fully sufficient.

Programma
1D scalar advection problems
 The method of characteristics  Finite difference methods  The CFL condition  MATLAB application 1D scalar advectionconduction problems  Boundary layers  Finitedifference methods  Upwind vs. centered approximations  MATLAB application 2D scalar advectionconduction problems  The finite volume method  MATLAB application The incompressible NavierStokes laminar problem  Scalar vs. vector problems: colocated vs. staggered grids, coupled vs. segregated solution, pressure correction methods (SIMPLE, ...).  Classical benchmarks: liddriven cavity; buoyancy driven cavity: derivation of a numerical correlation for the Nusselt number.  STARCCM+ application Introduction to the numerical solution of turbulent flow and heat transfer problems  Reynolds Averaged NavierStokes (RANS)  Classical benchmark: turbulent flow and heat transfer in a circular pipe  STARCCM+ application and validation against experimental (e.g. Blasius, DittusBoelter) correlations. 
Organizzazione dell'insegnamento
30 hours of computational lab are foreseen, where the students will individually work on PCs, using the abovementioned software (MATLAB and STARCCM+). Special emphasis will also be put on the issue of mesh generation.

Testi richiesti o raccomandati: letture, dispense, altro materiale didattico
Selected chapters from:
 J. M. Cooper, "Introduction to Partial Differential Equations with MATLAB" (Birkhaeuser, 2000)  R. Peyret, T.D. Taylor, Computational Methods for Fluid Flow (Springer, 1985)  C. Hirsch, "Numerical Computation of Internal and External Flows", 2nd ed. (ButterworthHeinemann, 2007)  J. H. Ferziger, M. Peric, "Computational Methods for Fluid Dynamics", 3rd ed. (Springer, 2013)  D.C. Wilcox, Turbulence modeling for CFD , 3rd edition (DCW industries, 2006)  H. K. Versteeg, W. Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method (Pearson Education, 2007) 
Criteri, regole e procedure per l'esame
Students are grouped in small teams.
Each team works on a model CFD problem, starting in the second part of the semester, where it is asked to: 1) solve the problem, using STARCCM+ and MATLAB, and summarize the results in the form of suitable plots; 2) justify the choice of the methods used to find the solution; 3) discuss the quality/accuracy of the computed solution. These three items are collected by the team in a short report (pdf file), to be discussed with the Teaching Assistant, who will individually evaluate the authors of the report. The students with a report evaluation > 24/30 go to the oral, which is focussed on the theory part of the course and on the discussion of one of the scripts developed by them in the MATLAB applications during the course. For the rest of the students, the report evaluation gives the final mark. 
Orario delle lezioni 
Statistiche superamento esami 
