Teacher

Scungio Mauro
(syllabus)
1. Introduction to CFD: advantages, fields of application and future developments 2. Solution procedure for thermofluid dynamics problems: problem setup (preprocessing), numerical solution (processing), results visualisation (postprocessing) 3. Governing equations 3.1 Continuity equation: physical principle, conservative and nonconservative forms, substantial derivative, physical interpretation of the equation 3.2 Momentum equations: physical principle, NavierStokes equations, Euler equation, Bernoulli equation, fully developed flow, dynamic similitude/dimensionless parameters, Reynolds number, physical interpretation of the equations 3.3 Energy conservation equation: physical principle, Fourier law, Prandtl number, physical interpretation of the equation 3.4 Turbulence: introduction, the energy cascade, DNS and RANS approach, Boussinesq hypothesis, kɛ model, basics of other turbulence models (RNG kɛ, realizable kɛ, kω, SpalartAllmaras, Reynolds Stress Model), turbulent flows on the wall 4. Finite differences and finite volumes 4.1 Backward differences, central differences, forward differences, truncation error, finite volumes, structured and unstructured grids, bodyfitted grids 5. Discretisation of the governing partial differential equations 5.1 Pure diffusion equation (finite difference and finite volumes) 5.2 Convectiondiffusion equation (stationary and nonstationary, finite volumes) 5.3 Temporal discretisation, implicit and explicit approach 6. Numerical solution of the equations 6.1 Direct methods: Gauss elimination, Thomas algorithm 6.2 Iterative methods: Jacobi method, GaussSiedel method 6.3 Staggered and collocated grids, SIMPLE scheme 7. Solution analysis 7.1 Consistency, stability, convergence, accuracy 7.2 Grid sensitivity analysis 7.3 Efficiency: multigrid methods, parallel calculation 8. Practical guidelines 8.1 Grid topology, local refinement, grid adaption, moving mesh 8.2 Boundary conditions 8.3 Turbulence: law of the wall, low Reynolds approach, boundary conditions for turbulence
(reference books)
Slides from classes J. Tu, G.H. Yeoh, C. Liu, Computational Fluid Dynamics: A Practical Approach  ButterworthHeinemann (2013) J. D. Anderson Jr, Computational Fluid Dynamics, The Basics with Applications  McGrawHill (1995) P. Moin, Fundamentals of Engineering Numerical Analysis, Cambridge Univ. Press, (2010) J. H. Ferziger and M. Peric, Computational Methods for Fluid Dynamics, Springer Verlag, (2001) W. Shyy et al, Computational Fluid Dynamics with Moving Boundaries, Dover Publications, (2007)
