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Modul

Numerical Methods in Fluid Mechanics [M-MATH-102932]

Credits
4
Recurrence
Jedes Sommersemester
Duration
1 Semester
Language
English
Level
4
Version
1

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-105902 Numerical Methods in Fluid Mechanics 4

Competence Certificate

Oral exam of about 20 minutes.

Competence Goal

Participants know about the modelling and physical basics that lead to the model equations. They know how to discretize fluidmechanical problems with the finite element method and know especiallly how to treat the incompressibility condition. They are able to analyze stability and convergence of the presented methods.

Prerequisites

None

Content

  • Modelling and derivation of the Navier-Stokes equations
  • Mathematical and physical representation of energy and stress
  • Lax-Milgram theorem, Céa lemma and saddle point theory
  • Analytical and numerical treatment of the potential and Stokes flow
  • Stability and convergence of the discrete models
  • Numerical treatment of the stationary nonlinear equation
  • Numerical treatment of the instationary problems
  • Applications

Recommendation

Basic knowledge in the numerical treatment of differential equations, such as boundary value problems or initial value problems is strongly recommended. Knowledge in functional analysis is recommended.

Workload

Total workload: 120 hours

Attendance: 45 h

  • lectures, problem classes and examination.

Self studies: 75 h

  • follow-up and deepening of the course content,
  • work on problem sheets,
  • literature study and internet research on the course content,
  • preparation for the module examination.