bild
Skolan för
elektroteknik
och datavetenskap

Advanced Computation in Fluid Mechanics, abf08

(This course is identical with the course DD3004/DN3004.)

News

  • 090701: The results of the course evaluation is now available here.
  • 090624: The course evaluation is available here.
  • 090429: Intructions for the final report and presentation added.
  • 090429: Removed bug deadline May 4.
  • 090407: Dates for last 4 seminars set based on doodle vote.
  • 090327: Review instructions added.
  • 090325: Unicorn is updated; you need to update your version, following the instructions for Updating your repository here.
  • 090325: The project description is updated.
  • 090317: The airfoil mesh for the project is now available below.
  • 090317: The project description is added below.
  • 090314: The problem sheet deadline is extended to Monday March 23 08.00.
  • 090314: The problem sheet has been updated (more information and correction of Problem 10).
  • 090308: The problem sheet has been updated (more information on Problem 7).
  • 090309: The problem sheet has been updated (fixed minus sign in equation (9), added info on initial conditions in section before Problem 8, fixed misprints in Problem 7).
  • 090309: The problem sheet has been updated (rewrite of assumption in Problem 7, to be used also in Problems 9-10).

Course description

This is an advanced trans-disciplinary course approaching fundamental problems in fluid mechanics of major practical importance by advanced tools from mathematical analysis and numerical analysis, using modern computational technology.

Course PM

Course evaluation 2009

Recommended prerequisites

Course DN2260 Finite element method or equivalent (see e.g. book "Computational Differential Equations" by Eriksson/Estep/Hansbo/Johnson, or the e-material FEM modules by Johan Jansson).

Schedule

  • Seminar 1: Monday 15.15 February 16, room 4523
  • Seminar 2: Monday 15.15 February 23, room 4523
  • Seminar 3: Monday 15.15 March 9, room 4523
  • Seminar 4: Monday 15.15 March 16, room 4523
  • Seminar 5: Thursday 13.15 April 16, room 4523
  • Seminar 6: Tuesday 13.15 April 21, room 1625
  • Seminar 7: Wednesday 13.15 April 29, room 4523
  • Seminar 8: Wednesday 13.15 May 13, room 4523

Course literature

[CTIF] J.Hoffman and C.Johnson, Computational Turbulent Incompressible Flow, Springer, 2007 (download)

Activities

  • 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, skin friction boundary conditions
    Problem sheet: 5-7
    Reading: [CTIF] ch.28
  • Seminar 3

    Topics: linearized dual problem, a posteriori error estimation, adaptive method
    Problem sheet: 8-10
    Reading: [CTIF] ch.30,33
  • Seminar 4

    Topics: finite element software, FEniCS, intro to project
    Reading: [CTIF] ch.25-27,29,31
  • Seminar 5

    Topics: turbulence, blow up, the Clay $1 million Prize problem
  • Seminar 6

    Topics: d'Alembert's paradox, flow separation, boundary conditions
  • Seminar 7

    Topics: aerodynamcs, flying, lift and drag generation
  • Seminar 8

    Topics: presentations of final reports

Examination

  • Monday 8.00 March 16: submit problem sheet 1-10
  • Monday 8.00 April 6: submit project report (5 pages)
  • Monday 8.00 April 13: submit review 1 (1 page)
  • Monday 8.00 April 20: submit review 2 (1 page)
  • Monday 8.00 April 27: submit review 3 (1 page)
  • Monday 8.00 May 11: submit final report (8 pages)
  • Meeting 8: present final report (10 min)

Project

References

Review 1:

Blow up of Euler - Hou
Computational regularity of Navier-Stokes - Constantin
Official Clay Prize formulation - Fefferman
Blow up of Euler - Hoffman/Johnson

Review 2:

d'Alembert's paradox - Stewartson
Short note on fluids with little viscosity - Prandtl
Review of Birkhoff's Hydrodynamics - Stoker
Hydrodynamics - Birkhoff: get copy of first chapter outside JH office
Resolution of d'Alembert's paradox - Hoffman/Johnson

Review 3:

20th century Paradox - Cowley
LES of flow separation over an airfoil with synthetic jet control - You/Moin
Tackling turbulence with supercomputers - Moin/Kim Why it is possible to fly - Hoffman/Johnson


Additional reading:

Skin friction bc for cylinder - Hoffman
Review of Birkhoff - Plesset
Genesis of d'Alembert paradox - Grimberg/Pauls/Frisch
Prandtl's boundary layer - Anderson

Some utubing

turb1
turb2
dal1
dal2
aero1
aero2
aero3

Copyright © Sidansvarig: Johan Hoffman <jhoffman@kth.se>
Uppdaterad 2009-07-01