Computational Fluid Dynamics II

(a PhD course from the JM Burgerscentrum)

Dates: January 27 - 31, 2025

Location of the Lectures
All lectures are in EEMCS-Lecture Hall Chip, 36.HB.01.600 except on Thursday then we use EEMCS-Lecture Hall Boole, 36.HB.T0.610
All lab session are in the Penguin Lab at the second floor of
Building 36, Mekelweg 4, 2628 CD Delft

Teachers: Prof.dr.ir. F.J. Vermolen and Prof.dr.ir. C. Vuik

Subjects: Finite element methods for the incompressible Navier-Stokes equations and Iterative solution methods. (further details)


Monday January 27
10.30 - 11.15   Linear algebra: direct methods, structure of the matrix,
                sparseness, band methods
                C. Vuik
11.15 - 11.30   Coffee break
11.30 - 12.15   Basic iterative methods: Gauss Seidel, Jacobi, overrelaxation
                C. Vuik
12.15 - 13.15   Lunch break
13.15 - 14.00   Introduction Finite Element Method (F.E.M.);
                Potential problems, Structure of the global matrix
                F.J. Vermolen
14.15 - 17.00   Practical work SEPRAN,  exercises 1, 2 and 3

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Tuesday January 28 
09.30 - 10.15   Conjugate Gradients for symmetric systems
                C. Vuik
10.15 - 10.30   Coffee  break   
10.30 - 11.15   Convection-diffusion equation with F.E.M.
                F.J. Vermolen
11.15 - 11.30   Coffee  break   
11.30 - 12.15   Convection-diffusion equation with upwind
                F.J. Vermolen
12.15 - 13.15   Lunch break
13 15 - 14.30   Practical work SEPRAN, exercises 4 and 5
14.30 - 15.0O   Tea/coffee break
15.00 - 17.00   Practical work 

18.00 - 21.00   Diner
                De Hangout 
		Stieltjesweg 230
                https://thehangout.eu/

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Wednesday January 29
09.30 - 10.15   Linear algebra: acceleration of iterative methods with
                preconditioning
                C. Vuik
10.15 - 10.30   Coffee break    
10.30 - 11.15   Incompressible Navier-Stokes equations, standard Galerkin
                F.J. Vermolen
11.15 - 11.30   Coffee break    
11.30 - 12.15   Problems with incompressibility; Solution techniques  
                F.J. Vermolen
12.15 - 13.15   Lunch break
13.15 - 14.30   Practical work MATLAB/Octave, exercises 14, 15 and 17
14.30 - 15.00   Tea/coffee break
15.00 - 17.00   Practical work   

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Thursday January 30
09.30 - 10.15   Linear algebra: non-symmetric solvers (GMRES, CGS
                Bi-CGSTAB)
                C. Vuik
10.15 - 10.30   Coffee break     
10.30 - 11.15   Linear algebra: parallel computers
                C. Vuik
11.15 - 11.30   Coffee break    
11.30 - 12.15   Incompressible Navier-Stokes equations: penalty method,
                divergence-free elements?
                F.J. Vermolen
12.15 - 13.15   Lunch break
13.15 - 14.30   Practical work SEPRAN, exercises 6 and 7
14.30 - 15.00   Tea/coffee break
15.00 - 17.00   Practical work   
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Friday January 31
09.30 - 10.15   Linear algebra: parallel computers and iterative methods
                C. Vuik
10.15 - 10.30   Coffee break
10.30 - 11.15   Incompressible Navier-Stokes equations: instationary
                aspects, linearisation
                F.J. Vermolen
11.15 - 11.30   Coffee break    
11.30 - 12.15   Free and moving boundaries
                F.J. Vermolen
12.15 - 13.15   Lunch break
13.15 - 14.30   Practical work SEPRAN, exercises 8, 9, and 16
14.30 - 15.00   Tea/coffee break
15.00 - 17.00   Practical work  

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Contact information:

Kees Vuik

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