Advanced Computation in Fluid Mechanics, aflum09
(This course is identical with the course DD3004/DN3004.)
Course start: Wednesday 10.00 January 20, room D42
News
- 2010-04-28: Cource evaluation results available here.
- 2010-04-28: Cource evaluation form added.
- 2010-02-19: Seminar plan updated: seminar 5 moved to Monday 8/3.
- 2010-01-27: Course PM and seminar plan updated.
- 2010-02-03: Problem sheet updated (FE-space includes slip bc).
- 2010-02-02: Course PM and seminar schedule updated: changed deadline for lab report.
- 2010-01-27: Course PM and problem sheet updated.
- 2010-01-20: If you need a computer account, send your login name to
Murtazo Nazarov.
- 2010-01-20: Updated time plan of seminars.
- 2010-01-14: Project PM updated.
- 2010-01-13: Course home page updated: in particular see examination and course PM.
- 2010-01-12: Course start is set to Wednesday January 20th.
Teachers
Course leader: Johan Hoffman
Teaching assistant: Murtazo Nazarov
Course description
This is an advanced trans-disciplinary course approaching fundamental problems in fluid mechanics of major practical importance by tools from mathematical analysis and numerical analysis, using modern computational technology.
Course PM
Course Evaluation
2010-04-28: Cource evaluation results available here.
Recommended prerequisites
Course DN2260 Finite element methods or equivalent
(see e.g. book "Computational Differential Equations" by Eriksson/Estep/Hansbo/Johnson).
Scheduled seminars
Attendance to the seminars is mandatory:
- Seminar 1: Wednesday 10.15 January 20, room D42
- Seminar 2: Wednesday 10.15 January 27, room D42
- Seminar 3: Wednesday 10.15 February 3, room D32
- Seminar 4: Wednesday 10.15 February 17, room D42
- Seminar 5: Monday 13.15 March 8, room E35
- Seminar 6: Wednesday 10.15 March 3, room D42
- Seminar 7: Wednesday 10.15 March 10, room D42
Scheduled excerises and computer helpdesk
Teaching assistant will here be available for help with
all aspects of the course.
- Monday 13.15 January 25 , room E36: FEniCS software introduction
- Monday 13.15 February 1, room E36
- Monday 13.15 February 8, room E36
- Monday 13.15 February 15, room E35
Course literature
[CTIF] J.Hoffman and C.Johnson, Computational Turbulent Incompressible Flow, Springer, 2007
(order/download)
Activities
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Seminar 1
Topics: Thermodynamics, incompressible flow, stability, vorticity
Problem sheet: 1-4
Reading: [CTIF] ch.1-12
-
Seminar 2
Topics: General Galerkin (G2) finite element methods
Problem sheet: 5-7
Reading: [CTIF] ch.25-29
-
Seminar 3
Topics: linearized dual problem, a posteriori error estimation, adaptive method
Problem sheet: 8-10
Reading: [CTIF] ch.30,33
-
Seminar 4
Topics: d'Alembert's paradox, flow separation, boundary conditions
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Seminar 5
Topics: turbulence, blow up, the Clay $1 million Prize problem
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Seminar 6
Topics: aerodynamcs, flying, lift and drag generation
-
Seminar 7
Topics: presentations of final reports
Examination
All seminars are mandatory, and in addition:
-
Monday February 8 (8.00): submit problem sheet 1-10
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Monday February 15 (8.00): submit computer lab report (5 pages)
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Monday February 8 (30 min between 13-15): oral exam (problem sheet)
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Monday March 8 (8.00): submit final report (10 pages)
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Wednesday March 10 (8.00): submit peer review report (1 page)
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Wednesday March 10 (10.15): present project report (20 min)
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Wednesday March 10 (10.15): opponent at presentation (10 min)
Material and instructions:
Computational software
Literature (seminars 4-6)
Seminar 4:
Genesis of d'Alembert paradox - Grimberg/Pauls/Frisch
d'Alembert's paradox - Stewartson
Short note on fluids with little viscosity - Prandtl
Hydrodynamics - Birkhoff: get copy of first chapter outside JH office
Review of Birkhoff's Hydrodynamics - Stoker
Review of Birkhoff - Plesset
Circular cylinder experiments - Humphreys
Circular cylinder experiments - Korotkin: get copy of first chapter outside JH office
d'Alembert's paradox - Hoffman/Johnson
Seminar 5:
Blow up of Euler - Hou
Computational regularity of Navier-Stokes - Constantin
Official Clay Prize formulation - Fefferman
Blow up of Euler - Hoffman/Johnson
Seminar 6:
Prandtl's boundary layer - Anderson
Tackling turbulence with supercomputers - Moin/Kim
LES of flow separation over an airfoil with synthetic jet control - You/Moin
Experiments NACA 0012 - McCroskey
Experiments NACA 0012 - Gregory/O'Reilly
Mathematics of flight - Hoffman/Johnson
YouTube
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