## Numerische Methoden der Thermofluiddynamik

### 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

• 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