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Lattice Boltzmann Method

Module MA5344

This Module is offered by Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Module version of WS 2021/2 (current)

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
WS 2021/2SS 2021SS 2015

Basic Information

MA5344 is a semester module in English language at Master’s level which is offered irregular.

This Module is included in the following catalogues within the study programs in physics.

  • Specialization Modules in Elite-Master Program Theoretical and Mathematical Physics (TMP)
Total workloadContact hoursCredits (ECTS)
180 h 60 h 6 CP

Content, Learning Outcome and Preconditions


The behaviour of fluids can be described by systems of partial differential equations. Since the analytical solution of these systems is in general not known, numerical approximation schemes are applied.
In contrast to traditional computational fluid dynamics (CFD) approaches based on the conservation of macroscopic quantities like mass, momentum, and energy, the LBM models the fluid by the kinetics of discrete particles that propagate (streaming step) and collide (relaxation step) on a discrete lattice mesh.
Due to its particular nature, LBM has several advantages, such as dealing with complex boundaries, incorporating microscopic interactions, and parallelization of the algorithm.
Within this lecture we will study the Lattice Boltzmann method, in particular the derivation of the scheme and its mathematical analysis. Moreover we plan to illustrate numerical simulations with current state of the art software.

Learning Outcome

At the end of the lecture students have a profound knowledge about the lattice Boltzmann method, and are able to apply the scheme to different model problems. Further, they know the theoretical aspects and implementation.


MA3303 Numerical Methods for Partial Differential Equations

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Please keep in mind that course announcements are regularly only completed in the semester before.

Learning and Teaching Methods

lecture, exercice module
The module is offered as lectures with accompanying practice sessions. In the lectures, the contents will be presented in a talk with demonstrative examples, as well as through discussion with the students. The lectures should motivate the students to carry out their own analysis of the themes presented and to independently study the relevant literature. Corresponding to each lecture, practice sessions will be offered, in which exercise sheets and solutions will be available. In this way, students can deepen their understanding of the methods and concepts taught in the lectures and independently check their progress.


Blackboard presentation, beamer slides, computer lab work


S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Oxford University Press, 2001
D. Hänel: Molekulare Gasdynamik. Einführung in die kinetische Theorie der Gase und Lattice-Boltzmann-Methoden.
D. Wolf-Gladrow, Lattice-Gas Cellular Automata and Lattice Boltzmann Models, Springer, 2000

Module Exam

Description of exams and course work

The module examination is based on an oral exam (20 minutes). Students have to reflect theoretical foundations of the lattice Boltzmann method and can adequately apply them to different model problems.

Exam Repetition

The exam may be repeated at the end of the semester.

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