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Module Number:
| 13762
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| Module Title: | CFD 2 |
| |
CFD 2
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| Department: |
Faculty 3 - Mechanical Engineering, Electrical and Energy Systems
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| Responsible Staff Member: | -
Prof. Dr.-Ing. Schmidt, Heiko
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| Language of Teaching / Examination: | English |
| Duration: | 1 semester |
| Frequency of Offer: |
Every summer semester
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| Credits: |
6
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| Learning Outcome: | After successful completion of this course, participants have gained a general understanding of the
formulations, discretization strategies, numerical approaches, and burdens for computer simulations of
compressible and incompressible fluid flows. They have furthermore learned how to quantify the role
of compressibility and to judge its influence for a given application. Hands-on exercises strengthen the
theoretical background thought and put the students in the position to be able to select the most
suitable numerical tools. |
| Contents: | General topics:
- Conserved quantities and conservation laws
- Mathematical properties of the governing equations
- Discretization strategies (conservative vs. non-conservative, FDM vs. FVM)
- Systems of scalar conservation equations
- Mach-number asymptotics
Topics related to compressible flows:
- Riemann problem
- Exact and approximate Riemann solvers
- Flux functions, reconstructions, and limiters
- Shock waves and other discontinuities
Topics related to incompressible flows:
- Role of pressure and Poisson problem
- Poisson solvers (direct, spectral, iterative)
- Pressure-projection schemes
- Nonlinear instability and (de-)aliasing
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| Recommended Prerequisites: | Interest in numerical simulations of fluid flows with an inclination for computational methods relevant
across applications.
Successful completion of the courses CFD 0 and CFD 1 offered by the department is highly recommended
but not mandatory. |
| Mandatory Prerequisites: | None |
| Forms of Teaching and Proportion: | -
Lecture
/ 2 Hours per Week per Semester
-
Exercise
/ 2 Hours per Week per Semester
-
Self organised studies
/ 120 Hours
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| Teaching Materials and Literature: | - Kong, Siauw & Bayen. Python Programming and Numerical Methods: A Guide for Engineers and Scientists. Academic Press, 2020. URL: https://pythonnumericalmethods.berkeley.edu/notebooks/Index.html
- Ferziger, Péric & Street. Computational Methods for Fluid Dynamics. Fourth Edition. Springer, 2020. ISBN: 978-3-319-99691-2
- LeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, 2002.
- LeVeque. Numerical Methods for Conservation Laws. Lectures in Mathematics, ETH Zurich. Birkhauser-Verlag, Basel, 1990. ISBN 3-7643-2464-3
- Orlandi. Fluid Flow Phenomena: A Numerical Toolkit. Kluwer, 2000.
- Geurts. Elements of Direct and Large-Eddy Simulation. Edwards, 2003.
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| Module Examination: | Final Module Examination (MAP) |
| Assessment Mode for Module Examination: | - oral examination, ~30-40 min
|
| Evaluation of Module Examination: | Performance Verification – graded |
| Limited Number of Participants: | None |
| Part of the Study Programme: | -
Master (research-oriented) /
Hybrid Electric Propulsion Technology /
PO 2024
-
Bachelor (research-oriented) /
Maschinenbau /
PO 2006
-
Master (research-oriented) /
Maschinenbau /
PO 2006
- 2. SÄ 2012
-
Master (research-oriented) /
Maschinenbau /
PO 2023
-
Master (research-oriented) - Reduced Semester /
Maschinenbau /
PO 2023
-
Master (research-oriented) - Co-Op Programme with Practical Place /
Maschinenbau - dual /
PO 2023
|
| Remarks: | - No lectures in summer semester 2024
- The module primarily aims at Master students in the engineering and natural sciences who plan to specialize in a field that has a strong link to computational fluid dynamics.
|
| Module Components: | None |
| Components to be offered in the Current Semester: | |
