- Prof. Dr. Jennifer Ryan (lecture + exercises)

*Lectures*

Monday 10:30-12:15 in room - 25.22.02.81

Wednesday 10:30-12:15 in room - 25.22.02.81

*Exercises*

Monday 14:30-16:00 in room - 25.22.U1.33

~~ Tuesday 08:30-10:00 in room - 25.22.01.81 (On 26/6, in room 25.22.00.81)~~

This course introduces bachelor students in mathematical sciences to the basics of computational fluid dynamics (CFD) with a focus on understanding how to translate model equations to computational techniques. The course will begin by outlining the development of the basic equations of fluid mechanics, specifically aerodynamics. As part of this, forms of the governing equations of fluid motion will be discussed as well as the theory and applicability of potential flow. A comparison of the treatment of viscous versus inviscid equations will be discussed. This will require an understanding of basic issues of spatial and temporal accuracy. Students will acquire knowledge of the basic theory behind CFD and develop their ability to become an intelligent code user. The course will explore the basics of grid generation, use of computational fluid dynamics (CFD) solvers, and post-processing, using state-of-the-art tools. To make intelligent use of these tools, a basic understanding of computational methods is taught, including topics such as stability, accuracy, shock capturing, and turbulence modeling. The computational tools will be used to gain insight into various aerodynamic phenomena, such as vortices, boundary layers and shocks. To accomplish these goals students will

- Understand the development of the basic equations of fluid mechanics and their applications to aerodynamics such as forms and applicability of the governing equations of fluid motion and theory and applicability of potential flow,
- Understand how to translate analytical ideas to numerical techniques
- Understand refinement levels necessary for viscous versus inviscid calculations
- Understand basic theory behind CFD in order to be an intelligent code user
- Understand issues of spatial and temporal accuracy
- Perform effective literature and internet research and demonstrate the ability to engage in lifelong learning

Information on the CFD seminar.

als Bachelor-Modul Angewandte Mathematik, Bereich Numerik/Optimierung

- 9 für die Vorlesung mit Übungen nach PO 2008,

Die Kreditpunkte werden bei Bestehen der mündlichen Prüfung vergeben.

Die aktive und erfolgreiche Mitarbeit in den Übungen sowie 40% der maximal

zu erreichenden Übungspunkte werden für die Zulassung zur Prüfung vorausgesetzt.

- Blatt 1 (Solutions)
- Blatt 2 (Solutions)
- Blatt 3 (Solutions)
- Blatt 4 (Solutions)
- Blatt 5 (Solutions)
- Blatt 6 (Solutions)
- Blatt 7 (Solutions)
- Blatt 8 (Solutions)
- Blatt 9 (Solutions)
- Blatt 10 (Solutions)
- Blatt 11 (Solutions)

- Introductory Material
- Finite difference approximation to derivatives
- Approximation to Laplace Equations, About the program
- Visualizing flow and describing velocity in terms of scalar functions
- Numerics of calculating Streamlines and Pathlines
- Common flows
- Summary of course material
- Lecture 1: Geometry and grids
- Lecture 2: Geometry and grids

- R.M.Cummings, W.H.Mason, S.A.Morton, D.R.McDaniel, Applied Computational Aerodynamics: A Modern Engineering Approach, Cambridge Aerospace Series, 2015
- John Wendt (Ed.), Computational Fluid Dynamics: An Introduction, Springer, 2009

- Visualizing fluid flow:
- Definitions: Streamlines, Pathlines and Streaklines
- Streamlines
- Pathlines
- Streaklines
- Actual streamlines in a live windtunnel (around 3:17)
- Laminar vs. turbulent flow
- Rotational vs. irrotational flow