4 - Numerical Methods in Thermo-Fluid Dynamics 1 (NMTFD1)/ClipID:50602 next clip

Recording date 2023-11-08

Language

English

Organisational Unit

Lehrstuhl für Strömungsmechanik

Producer

Lehrstuhl für Strömungsmechanik

Format

lecture

This cours deals with a basic introduction to the numerical simulation of fluid flow, i.e., how to obtain a numerical solution to a fluid flow problem, how to discretize the underlying equations and how to evaluate the result.

Content:

  • Governing equations and models in fluid mechanics
  • 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

  • Compressible Flows

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

  • implemement 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

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