• 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

• 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

Title:

Numerical Fluid Mechanics

PR: Numerische Methoden der Thermofluiddynamik - Praktikum

Lecturers: Prof. Dr. Marc Avila, Nan Chen, M. Sc.
Time and place: Mon 10:00 - 12:00, 00.153-113

UE: Numerische Methoden der Thermofluiddynamik - Übung

Lecturers: Prof. Dr. Marc Avila, Anna Guseva, M. Sc.
Time and place: Tue 12:15 - 13:45, KS II