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Numerische Methoden der Thermofluiddynamik

Lecturers

Details

Time and place:

  • Wed 8:15-9:45, Room EE 0.135

Fields of study

  • WPF CBI-MA from SEM 1
  • WPF CE-MA-TA-TFD from SEM 7
  • WPF MB-MA-FG9 from SEM 1
  • PF MAP-S-CMP from SEM 3
  • WPF CEN-MA from SEM 1
  • WPF LSE-MA from SEM 1

Prerequisites / Organizational information

Strömungsmechanik I,II

Content

  • Governing equations and models in fluid mechanics

  • Steady problems: the Finite-Difference Method (FDM)

  • Unsteady problems: methods of time integration

  • Advection-diffusion problems

  • The Finite-Volume Method

  • Solution of the incompressible Navier-Stokes equations

  • Grids and their properties

  • Boundary conditions

The students who successfully take this module should:
  • understand the physical meaning and mathematical character of the terms in advection-diffusion equations and the Navier-Stokes equations

  • assess under what circumstances some terms in these equations can be negelcted

  • formulate a FDM for the solution of unsteady transport equations

  • asess the convergence, consistency and stability of a FDM

  • formulate a FVM for the solution of unsteady transport equations

  • know how to solve the Navier-Stokes equation with the FVM

  • implmement programs in matlab/octave to simulate fluid flow

  • assess the quality and validity of a fluid flow simulation

  • work in team and write a report describing the results and significance of a simulation

  • know the different types of grids and when to use them


Recommended Literature

- J.H. Ferziger, M. Peric, Computational Methods for Fluid Dynamics, Spinger, 2008 - R.J. Leveque, Finite Difference Methods for Ordinary and Partial Differential Equations, SIAM, 2007

ECTS information

Title

Numerical Fluid Mechanics

Additional information

Expected participants: 40