Computational Fluid Dynamics II
(a PhD course from the
JM Burgerscentrum)
Dates: January 30 - February 3, 2023
Location of the Lectures
All lectures are in EEMCS-Lecture Hall Chip, 36.HB.01.600 except on
Friday then we use EEMCS-Lecture Hall D@ta, 36.HB.01.630
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 30
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 31
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
_______________________________________________________________________
Wednesday February 1
09.30 - 10.15 Incompressible Navier-Stokes equations, standard Galerkin
F.J. Vermolen
10.15 - 10.30 Coffee break
10.30 - 11.15 Problems with incompressibility; Solution techniques
F.J. Vermolen
11.15 - 11.30 Coffee break
11.30 - 12.15 Linear algebra: acceleration of iterative methods with
preconditioning
C. Vuik
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
18.00 - 21.00 Diner
Sevenhills Delft
https://sevenhillsdelft.nl/
Achterom 165
2611 PN Delft
015-2128903
_______________________________________________________________________
Thursday February 2
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
_______________________________________________________________________
Friday February 3
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
_______________________________________________________________________

Contact information:
Kees Vuik

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