Advanced Modelling of Turbulent Flows and Transport

1. introductory lecture on the course

2. statistical description of turbulence (mean flow, higher statistical moments, (auto)correlations, Taylors hypothesis)

3. experimental techniques (single point vs. field measurements, flow visualisation, measurement techniques)

4. balance equations I (continuity equation, Navier-Stokes equations, turbulent kinetic energy)

5. Reynolds decomposition (ensemble averaging, Reynolds equations, closure problem, energy transfer, Kolmorogov scales, energy spectrum, Kolmogorovs 5/3 law)

6. balance equations II (2DH/3D shallow water equations for free surface flows, scaling, hydrostatic pressure, wind stress, bottom friction, horizontal mixing, vertical mixing, constituent transport)

7. numerical techniques for 2DH shallow water equations (recap computational modelling, staggered schemes, time marching, momentum conservation, rapidly varied flows, flooding and drying)

8. turbulence modelling (mixing layer hypothesis, eddy viscosity concept, k-epsilon, LES)

9. numerical aspects of 3D turbulence modelling (regular vs. flexible meshes, sigma layers vs. z-layers for free surface flows, artificial vertical mixing, finite volume method, higher order upwind schemes+flux limiting)

10. turbulent flows in practice (boundary layers, law-of-the-wall, wall roughness, free surface flows in complex geometries, separation and recirculation)

11. turbulence diffusion (Reynolds analogy, dispersion, spreading)

12. non-hydrostatic flow modelling (vertical acceleration, subgrid, lock exchange, high performance computing)

The module includes a computer practical that consists of a number of assignments and an experimental practical. The student is strongly recommended to do the computational assignments in his/her own time or he/she can spend his/her time in our computer lab where assistance is available. For student convenience knowledge and experience with Python (or Matlab) is recommended.

The computational practical is intended to train the student in identifying and categorising different turbulence and computational modelling issues, evaluating the results based on analysis and calculations, and getting used to work with software packages effectively. They are consistent with the learning objectives (see Table). By working through the assignments the student will gain a deeper insight into various turbulence phenomena and the abilities and limitations of the used computer model.

Besides the computer practical the student is offered to do an experimental assignment in the Waterlab. The obtained data can be used to validate the used computer model.

Students who hand in a report on their findings regarding their computational and experimental work will receive feedback, which will aid them in the summative assessment.

The summative assessment of this course is an oral exam, which is organized after the course. The final grade is determined by the oral exam. The grading is related to the learning objectives.

The pass grade must be a minimum of 5.8.

For more information on grading, see article 14 in the Rules and Guidelines (RGBE):

https://www.tudelft.nl/en/student/ceg-student-portal/education/education-information/educational-rules-and-regulations

Permitted Materials during Exam

Elaborated computer exercise