Advanced Computation in Fluid Mechanics, aflum13

News

• [2013-03-27] Course evaulation forms are now available: please submit as soon as possible, thanks!
  Press here to get the evaluation form:
• [2013-03-27] Grades are now reported.
• [2013-03-04] Project presentations: plan for 10-15 min presentation + 5 min for questions
• [2013-02-12] Project files now available for download here
• [2013-02-12] Small updates for home exams: Section 1.1 - L2(Q)-norm should be defined by double parantheses, Problem 5 - (dU/dt,U) should be double parantheses ((dU/dt,U)), Problem 7 - friction boundary condition should have a minus sign on one side of the equality.
• [2013-02-08] Wednesday February 13 at 10:15 we will start with the oral exam (and collect the written home exams), after that I will give an introduction to the projects. See you then!
• [2013-02-05] Home exam for download (deadline for submission Wednesday February 13 at 10:15)
• [2013-01-29] Slides for Lecture 2 added.
• [2013-01-22] To be added to course mailinglist: send an email to the course leader (include name and study program)
• [2013-01-07] First course seminar Tuesday January 15 at 10:15, in room 4523 (Lindstedtsvagen 5, 5th floor)
• [2012-11-13] Preliminary course plan published.
• [2012-10-09] Course starts in January 2013, please contact the course leader for any questions.

Course evaluation

Press here to get the evaluation form:

Registration

To take the course, please registrate for the course in RAPP: https://rapp.csc.kth.se

Send an email to the course leader to be added to the course mailinglist: include name and study program

Course PM

Course PM for download

Teachers

Course leader: Johan Hoffman (E-mail: jhoffman@kth.se, Office hours: Tuesdays 14-15)
Teaching assistant: Niclas Jansson (E-mail: njansson@kth.se)

Course description

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

For examples on what you can use this course for, see our YouTube channel!

Examination

• Written home exam and oral examination.
• Project report and oral presentation.

Home exam for download

Project files available for download here

Textbook

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

Recommended prerequisites

Course DN2260 Finite element methods or equivalent (see e.g. book "Computational Differential Equations" by Eriksson/Estep/Hansbo/Johnson).

In the course we will use the finite element software Unicorn/Dolfin-hcp,part of the FEniCS project developed at KTH. The software will be installed on the system for this course. Alternatively, you can download and build the software yourself. See the following links:

• FEniCS tutorial
• The FEniCS book
• Overview of Unicorn
• Unicorn/Dolfin-hpc software
• Introduction to the software tools

Preliminary course plan

Week 1

• Tuesday, January 15, 10-12 (4523): Introduction: fundamental equations, energy, stability, finite element methods
  [CTIF] chapters 1-12
  Problem sheet 1
  Lecture slides
  
  Further reading:
  Olivier Darrigol, Worlds of Flow
  
  
• Friday, January 18, 10-12 (4523): Introduction: software, high performance computing, FEniCS/Dolfin-hpc/Unicorn
  FEniCS tutorial
  Lecture slides
  
  Further reading:
  The FEniCS book

Week 2

• Tuesday, January 22, 10-12 (4523): Weak solutions, finite element methods, Exercises
  [CTIF] chapters 28-29
  Problem sheet 3
  Lecture slides
  
  Further reading:
  Jean Donea/Antonio Huerta, Finite element methods for flow problems
  
  
• Friday, January 25, 10-12 (4523): Turbulence, computational fluid dynamics, Exercises
  [CTIF] chapters 13-20 (hard), 25-27
  Problem sheet 4
  Lecture slides
  
  Further reading:
  Pierre Sagaut, Large Eddy Simulation

Week 3

• Tuesday, January 29, 10-12 (4523): Adaptive FEM, Exercises
  [CTIF] chapters 30,33
  Problem sheet 5
  Lecture slides
  
  
• Friday, February 1, 10-12 (4523): ALE FEM, Fluid-structure interaction, Exercises
  [CTIF] chapter 32
  
  Further reading:
  Hoffman/Jansson/Stockli, Unified Continuum Fluid-Structure Interaction

Week 4

• Tuesday, February 5, 10-12 (4523): Introduction to course projects

Week 5

• Wednesday, February 13, 10-12 (4523): Deadline for home exam, and oral examination

Week 6

• Tuesday, February 19, 10-12 (4523): Project seminar

Week 7

• Wednesday, February 27, 10-12 (4523): Project seminar
• Friday, March 1, 10-12 (4523): Project seminar

Week 8

• Tuesday, March 5, 10-12 (4523): Oral presentations of project

Week 9

• Monday, March 11, 08.00: Deadline for project reports