151-0212-00L  Advanced CFD Methods

SemesterSpring Semester 2021
LecturersP. Jenny
Periodicityyearly recurring course
Language of instructionEnglish


151-0212-00 VAdvanced CFD Methods2 hrs
Mon16-18NO C 60 »
P. Jenny
151-0212-00 UAdvanced CFD Methods1 hrs
Mon11-12ML F 38 »
P. Jenny

Catalogue data

AbstractFundamental and advanced numerical methods used in commercial and open-source CFD codes will be explained. The main focus is on numerical methods for conservation laws with discontinuities, which is relevant for trans- and hypersonic gas dynamics problems, but also CFD of incompressible flows, Direct Simulation Monte Carlo and the Lattice Boltzmann method are explained.
ObjectiveKnowing what's behind a state-of-the-art CFD code is not only important for developers, but also for users in order to choose the right methods and to achieve meaningful and accurate numerical results. Acquiring this knowledge is the main goal of this course.

Established numerical methods to solve the incompressible and compressible Navier-Stokes equations are explained, whereas the focus lies on finite volume methods for compressible flow simulations. In that context, first the main theory and then numerical schemes related to hyperbolic conservation laws are explained, whereas not only examples from fluid mechanics, but also simpler, yet illustrative ones are considered (e.g. Burgers and traffic flow equations). In addition, two less commonly used yet powerful approaches, i.e., the Direct Simulation Monte Carlo (DSMC) and Lattice Boltzmann methods, are introduced.

For most exercises a C++ code will have to be modified and applied.
Content- Finite-difference vs. finite-element vs. finite-volume methods
- Basic approach to simulate incompressible flows
- Brief introduction to turbulence modeling
- Theory and numerical methods for compressible flow simulations
- Direct Simulation Monte Carlo (DSMC)
- Lattice Boltzmann method
Lecture notesPart of the course is based on the referenced books. In addition, the participants receive a manuscript and the slides.
Literature"Computational Fluid Dynamics" by H. K. Versteeg and W. Malalasekera.
"Finite Volume Methods for Hyperbolic Problems" by R. J. Leveque.
Prerequisites / NoticeBasic knowledge in
- fluid dynamics
- numerical mathematics
- programming (programming language is not important, but C++ is of advantage)

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersP. Jenny
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 120 minutes
Written aidsNone
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

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