Seminar Lattice Boltzmann Methods - Theory, Implementation and Applications-SS15
- Term
- Summer 15
- Lecturer
- Dr. rer. nat. Philipp Neumann, Nikola Tchipev, M.Sc., Arash Bakhtiari, M.Sc. (hons)
- Time and Place
- Preliminary meeting: Jan 19 2015, 18:00, room 02.07.023
- Kickoff: t.b.a.
- Presentations: t.b.a.
- Audience
- Students from Master Computational Science and Engineering (IN2183), Informatics (IN2107), and Bachelor Informatics (IN0014)
- Tutorials
- -
- Exam
- -
- Semesterwochenstunden / ECTS Credits
- 2 SWS (2S) / 4 Credits
- TUMonline
- t.b.a.
News
- Preliminary meeting: Jan 19 2015, 18:00, room 02.07.023
- Max. number of participants: 19
- The seminar will be completely in English, so the students also have to give their talks and to write their papers in English.
Description
Lattice Boltzmann methods (LBMs) are used to study flow problems on the statistical scale. Their relatively simple, (mostly) local algorithmics and their meso-scale nature make these methods attractive for both physicists and computer scientists. The latter is particularly true with respect to the field of high performance computing. In this seminar, the basic theory of the Lattice Boltzmann methods is discussed and implementational concepts are presented for single-core and multi-core architectures. Besides, particular aspects such as grid refinement and application of LBMs to more complex systems such as multiphase flows are addressed.
Slides and Handouts
The handouts will be printed for you. If you want to have a closer look into the material beforehand, you are welcome to use the electronic versions from below.
| Date | Description | Material |
| Jan 19 | Preliminary meeting | Introduction to seminar Slides, Topics |
| Apr 16 | Introduction to LBM | Paper, Slides |
| Apr 16 | Boundary conditions | Paper, Slides, Matlab example |
| Apr 16 | Single-core optimisation | Paper, Slides |
| May 28 | From Boltzmann Equation to LBM | Paper, Slides |
| May 28 | From LBM to Navier-Stokes | see e.g. book by Wolf-Gladrow |
| May 28 | MRT collision models | Paper, Slides, Matlab example |
| June 11 | LBM on adaptive grids | Paper, Slides |
| June 11 | Open-source LBM software | Paper, Slides |
| June 11 | Fluctuating hydrodynamics | Paper, Slides |
| June 18 | Rarefied gas flows | Paper, Slides |
| June 18 | Colloidal suspensions | Paper, Slides |
| June 18 | Free surface flows | Paper, Slides |
| June 25 | Parallelisation of LBM | Paper, Slides |
| June 25 | Multiphase and multicomponent flows | Paper, Slides, Matlab example |
Prerequisites
Preliminary knowledge on
- Cellular automata
- Lattice Boltzmann equation
- Computational fluid dynamics
- Numerical simulation
is helpful.
Topics
- Introduction to LBM
- Boundary Conditions in LBM simulations
- Single-core optimisation of LBm
- From the Boltzmann equation to LBM
- From LBM to Navier-Stokes
- Multiple-relaxation-time Collision Models
- LBM on adaptive grids
- Open Source LBM software
- Entropic LB schemes
- Fluctuating hydrodynamics
- LBM for rarefied gas flows
- Simulation of colloidal suspensions
- Free surface flows
- LBM on GPUs
- (Distributed memory) Parallelisation of LBM
- LBM for Multiphase/ multicomponent flows
- LBM for shallow water flows
- Coupling LBM and Navier-Stokes
- LBM for blood flows
Left : Interactive fluid simulation (based on Lattice Boltzmann method) and visualization (volume tracing, photon mapping). Right: Breaking dam simulation.
Literature
Textbooks on LBM:
- S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Oxford University Press, 2001.
- M.C. Sukop and D.T. Thorne, Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers, Springer, 2006.
- D.A. Wolf-Gladrow, Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction, Springer, 2000
Topic-specific literature will be handed out to the individual participants of the course by the advisors.
Requirements
For successful completion of the seminar course you have to fulfil the following tasks:
- solid understanding of your topic (e.g. by implementation of the underlying algorithm)
- writing of a paper (about 8 pages)
- presentation (30 min + discussion)
- participation in the presentations of all other participants
- deadlines: t.b.a.
The paper template is available here. Usage of Latex is required.