Lab Course Scientific-Computing: Computational Fluid Dynamics - Summer 11
- Term
- Summer 10
- Lecturer
- Philipp Neumann, Atanas Atanasov, Christoph Kowitz
- Time and Place
- Friday, 15:00-18:00, MI 02.07.023, exact dates t.b.a.
- Audience
- Students of Computer Science (Master/Diplom, voluntary course, Module IN2106/IN8904)
Students of Mathematics (Master, voluntary course)
Students of Computational Science and Engineering (Master, voluntary course, Module IN2186) - Tutorials
- -
- Exam
- no final exam
- Semesterwochenstunden / ECTS Credits
- 6 SWS (6P) / 10 credits
- TUMonline
- {{{tumonline}}}
Requirements
Module IN1503 Introduction to Programming (Module IN1503), Introduction to Scientific Computing (Module IN 2005) or equivalent knowledge
Timeline
The timeline for the Lab Course is given below. Please check the timeline regularly as minor changes might still occur!
| Date | Room | Session | Contents | Material |
| Feb 11, 14:00 | 02.07.023 | Preliminary session | Introduction to the Lab Course | |
| May 06, 15:00 | 02.07.023 | Lecture 1 | The Navier-Stokes equations Pt. 1 | NEW VERSION!!! In the old version, the vtk-writer was missing Worksheet1.pdf frame_worksheet1.tar.gz |
| May 13, 15:00 | 02.07.023 | Lecture 2 | The Navier-Stokes equations Pt. 2 | |
| May 20, 15:00 | 02.07.023 | Lecture 3 | The Lattice Boltzmann Method | Presentation.pdf (without Bowmen :-( )
Worksheet2.pdf frame_worksheet2.tar |
| May 26, 12:00 | 02.05.033 | Review session | Worksheet 1 (Navier-Stokes) | |
| Jun 03, 15:00 | 02.07.023 | Lecture 4 | Arbitrary geometries in CFD applications | Handout: Worksheet 3 |
| Jun 09, 12:00 | 02.05.033 | Review session | Worksheet 2 (Lattice Boltzmann) | A list with possible time slots is now put up at the door of the office 02.05.061 (Philipp Neumann). |
| Jun 10, 15:00 | 02.07.023 | Lecture 5 | Project phase: Topic presentations | Presentation of Project Topics |
| Jun 17, 15:00 | 02.07.023 | Meeting | Project phase: Kick-off (Decision on project topics) | MPI Parallelisation of LBM |
| Jun 22, 14:00 | 02.05.033 | Review session | Worksheet 3 (Arbitrary geometries) | |
| Jul 08, 15:00 | 02.07.023 | Meeting/ Lecture 6 | Intermediate project presentation and evaluation | Information on Intermediate Project |
| Jul 28, 12:00 | 02.05.033 | Review session | Project phase | PLEASE SIGN UP FOR THE REVIEW SESSION FROM NOW! |
| Jul 29, 14:00 | 02.07.023 | Closing session | Project presentations, feedback session, closing (beergarden) session at C2 |
Contents
The lab course gives an application oriented introduction to the following topics in computational fluid dynamics (lecturers may select certain deepening aspects):
- Modelling of macroscopic fluid flow via the Navier-Stokes equations
- Finite-Difference methods for spatial discretisation of the partial differential equations
- Semi-implicit time-stepping methods for incompressible flow
- Lattice Boltzmann Methods (LBM)
- Smoothed Particle Hydrodynamics (SPH)
In the first half of the Lab (approx. the first 6-7 weeks of the lecture period), the theory behind the different methods (Navier-Stokes, LBM and SPH) is introduced and basic two-dimensional scenarios for each of these methods are simulated. Group work of at most three students is highly recommended! The programming language used for these exercises will be C.
In the second half (approx. the last 6-7 weeks of the lecture period), each student group focuses on an individual project evolving from a specialisation or extension of one of the presented methods. Possible topics comprise:
- Domain decomposition and parallelisation of the existing solver using MPI
- Algorithmic and code optimisations
- Free surface flows
- Integration of transport equations for heat or chemical species in the flow
- Three-dimensional flow scenarios
During the project phase, the groups work independently on their project. However, in the midterm of the project phase, the students of each group present their results to their colleagues and the lecturers.
The lectures accompanying this lab course will be conducted in English. The assignments will also be given in English. Completed assignments in the first part of the term as well as the final project results will be presented by the students in English or German during a review session that is to be announced approx. one-two weeks in advance. Each review session is compulsory for all students!
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Possible Project Topics
Navier-Stokes
- Free surfaces (2D)
- Extension of the solver to 3D
- Parallelisation of the 2D solver
- Heat / chemical transport
- Optimisation of the linear system solver
- Visualisation techniques
- M. Griebel, T. Dornseifer und T. Neunhoeffer: Numerical Simulation in Fluid Dynamics: A Practical Introduction. Siam Monographs on Mathematical Modeling and Computation. SIAM, Philadelphia, 1997
- Benchmark computations (flow around a cylinder)
- Schäfer, M. and Turek, S. Benchmark Computations of Laminar Flow Around a Cylinder
Lattice-Boltzmann
- Force computation and moving boundaries - momentum exchange method
- Ladd AJC. Numerical Simulations of Particulate Suspensions Via a Discretized Boltzmann Equation. Part 1 and 2. Journal of Fluid Mechanics.
- Heat / chemical transport
- Visualisation techniques
- M. Griebel, T. Dornseifer und T. Neunhoeffer: Numerical Simulation in Fluid Dynamics: A Practical Introduction. Siam Monographs on Mathematical Modeling and Computation. SIAM, Philadelphia, 1997
- Advanced collision models
- D. d’Humières, I. Ginzburg, M. Krafczyk, P. Lallemand, and L.-S. Luo. Multiple-relaxation-time lattice Boltzmann models in 3D, 2002 (MRT). B. Dünweg, U.D. Schiller, and A.J.C. Ladd. Statistical mechanics of the fluctuating lattice Boltzmann equation. Phys. Rev. E, 76(036704), 2007 (FLB). Ginzburg, I., Verhaeghe, F. and d'Humières D. Two-Relaxation-Time Lattice Boltzmann Scheme: About Parametrization, Velocity, Pressure and Mixed Boundary Conditions. Commun. Comp. Phys. 3:2, 427-478 (TRT).
- Adaptive Time Stepping
- Nils Thürey. Physically based Animation of Free Surface Flows with the Lattice Boltzmann Method. Dissertation. 2007.
- Benchmark computations (flow around a cylinder)
- Schäfer, M. and Turek, S. Benchmark Computations of Laminar Flow Around a Cylinder.
- Porous Media and periodic boundaries
- S. Succi: The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. Oxford University Press, 2001.
- Memory Optimisation
General Literature
- M. Griebel, T. Dornseifer und T. Neunhoeffer: Numerical Simulation in Fluid Dynamics: A Practical Introduction. Siam Monographs on Mathematical Modeling and Computation. SIAM, Philadelphia, 1997.
- M. Griebel, T. Dornseifer und T. Neunhoeffer: Numerische Simulation in der Strömungsmechanik. Vieweg, Braunschweig/Wiesbaden, 1995.
- ParaView User’s Guide (Version 1.6). http://www.paraview.org/files/v1.6/ParaViewUsersGuide.PDF
- ParaView Online Documentation. http://paraview.org/OnlineHelpCurrent/
- S. Succi: The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. Oxford University Press, 2001.
- Dieter A. Wolf-Gladrow: Lattice-Gas Cellular Automata and Lattice Boltzmann Models - An Introduction. Springer, 2005.
- G.R. Liu, M.B. Liu: Smoothed Particle Hydrodynamics. World Scientific Publishing, 2003