Numerical Fluid Dynamics with Free Surface, MEK9440 New course on Master/PhD
level. 10 credits
Main responsible: John Grue, Mechanics Division, Department of Mathematics, UiO.
To be taught for the first time during Spring term 2010.
The plan is that we write up the course material in the form of a set of lectures, organized in chapters, each with two authors, that together work on the theoretical and methodological background,
explanations, digestion and oral and written presentation of the material. While the methodology
should be theory based and as general as possible, the curriculum may be supplemented by sets
of (simple) case studies, possibly and preferably using the Stanford Code CDP.
Curriculum, Spring 2010
Finite Volume Methods (19 pp.) Chapter 4, Volume of Fluid Methods, in Joel H. Ferzigaer
and Milovan Perić (2002). Computational Methods for Fluid Dynamics. Springer-Verlag
Pressure-Velocity coupling (20 pp.). Chapter 6, Solution Algoritms for Pressure-Velocity
Coupling in Steady Flows. The SIMPLE (and SIMPLER/SIMPLEC) algoritms. H. K. Versteeg
and W. Malalasekera, An introduction to Computational Fluid Dynamics (1995), Prentice Hall.
Ch. 13, Large Eddy Simulations (LES) (80 pp.) of the book by Stephen B. Pope, ’Turbulent
Flows’, Cambridge University Press, (2000), 600 pp.
Large Eddy Simulations (LES) (62 pp.) Tso-Ren Wu and Philip L.-F. Liu (2008), A Large
Eddy Simulation Model for Tsunami and Runup generated by Landslides. 62 pp. Chapter 4 in:
Advanced Numerical Models for Simulating Tsunami Waves and Runup. Philip L.-F. Liu, Harry
Yeh and Costas Synolakis (Eds.) Adv. in Coastal and and Ocean Engineering, Vol. 10, World
Scientific.
Turbulence statistics (34 pp.)Kim, J., Moin, P., and Moser, R. (1987) ’Turbulence statistics
in fully developed channel flow at low Reynolds number’, J. Fluid Mechanics 177, 133-166.
Energy conservation and balances (26 pp.) P. A. Durbin and B. A. Pettersson Reif (2010),
Statistical Theory and Modeling for Turbulent Flows. Part IV, Turbulence Simulations. 26 pp.
Volume-of-Fluid (25 pp.) C. W. Hirt and B. D. Nichols (1981). Volume of fluid (VOF) method
for the dynamics of free boundaries. Journal of Computational Physics, 39:201-225.
Volume-of-Fluid (31 pp.) K. M. Kleefsman, G. Fekken, A. E. P. Veldman, B. Iwanowski and B.
Buchner (2005). A Volume-of-Fluid based simulation method for wave impact problems. Journal
of Computational Physics, 206:363-393.
Level Set Methods (38 pp.) Stanley Osher and James A. Sethian (1988). Fronts Propagating
with Curvature Dependent Speed: Algoritms Based on Hamilton-Jacobi Formulations. Journal of
Computational Physics 79:12-49.
Level Set Methods and Dynamic Implicit Surfaces. Stanley Osher and Ronald. Fedkiw
(2000). Applied Mathematical Sciences. Springer. Selected sections. 273 pp.
CURRICULUM TOTAL NUMBER OF PAGES: approx. 350 pp.
Background Reading
M. Lesieur, O. Métais and P. Comte (2005), Large-Eddy Simulations of Turbulence. Camb. Univ.
Press. 219 pp.
Philippe R. Spalart (2009), Detached-Eddy Simulation. Ann. Rev. Fluid Mech. 41:181-202. 22
pp.
K. M. T. Kleefsman and A. E. P. Veldman (2003). Numerical simulation of wave loading on a
Spar Platform. Proc. International Workshop on Water Waves and Floating Bodies Eds. A.H.
Clement and P. Ferrant, Ecole Centrale de Nantes. 4 pp.