Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-81-14-M-7

Computational Fluid Dynamics (M, 4.5 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-81-14-M-7 Computational Fluid Dynamics 4.5 CP (135 h)


CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Module Manager
Area of study [MAT-TEMA] Industrial Mathematics
Reference course of study [MAT-88.105-SG] M.Sc. Mathematics
Livecycle-State [NORM] Active


Type/SWS Course Number Title Choice in
Presence-Time /
SL SL is
required for exa.
PL CP Sem.
2V MAT-81-14-K-7
Computational Fluid Dynamics
P 28 h 107 h - - PL1 4.5 irreg.
  • About [MAT-81-14-K-7]: Title: "Computational Fluid Dynamics"; Presence-Time: 28 h; Self-Study: 107 h

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: each semester
  • Examination number: 86160 ("Computational Fluid Dynamics")

Evaluation of grades

The grade of the module examination is also the module grade.


Mathematical concepts required to deduce the Navier-Stokes equations from conservation principles as well as numerical methods for finding their solution are discussed and analyzed. In particular, the following topics are covered:
  • derivation of Stokes and Navier-Stokes equations,
  • solution methods for the Stokes equation,
  • approximation methods for equations of fluid dynamics.

Competencies / intended learning achievements

Upon successful completion of this module, the students have studied and understand advanced methods for numerically solving fluid dynamical equations. They are able to analyze the algorithms and to apply them to concrete problems. In addition, they are able to critically assess the possibilities and limitations of the use of the algorithms. They understand the proofs presented in the lecture and are able to comprehend and explain them.

With the help of concrete tasks, the students have developed a skilled, precise and independent handling of the terms, propositions and techniques taught in the lecture. In addition, they have learnt how to apply these techniques to new problems, analyze them and develop solution strategies.


  • M. Feistauer: Mathematical Methods in Fluid Dynamics,
  • E.F. Toro: Riemann Solvers and Numerical Methods for Fluid Dynamics.

Requirements for attendance of the module (informal)

Knowledge from the module [MAT-81-12-M-7] ist useful, but not necessarily required.


Requirements for attendance of the module (formal)


References to Module / Module Number [MAT-81-14-M-7]

Module-Pool Name
[MAT-81-MPOOL-7] Specialisation Partial Differential Equations (M.Sc.)
[MAT-8x-MPOOL-7] Specialisation Modelling and Scientific Computing (M.Sc.)
[MAT-AM-MPOOL-7] Applied Mathematics (Advanced Modules M.Sc.)