Turbulent transport mechanisms are based on the interaction of temporal and spatial fluctuations of pressure, density and velocity, which spread over a wide range of scales. A detailed prediction of the extremely complex phenomenon requires the resolution of all those scales by using appropriate numerical methods. To this end, an extremely fine discretization in space and time shall be used. Since, for industrial applications, this is often not possible due to too high computing costs, many simulation methods which model the influence of the turbulent fluctuations on the flow, instead than compute them directly, have been developed. The quality and effectiveness of numerical simulations which implement these methods is decisively case-dependent and rely on a proper calibration of some model parameters.
For this reason, this course will focus on mathematical principles, prerequisites and characteristics of turbulence modeling methods, staggered according to their degree of modeling and resource usage. The most important models are classified and examined from a physical point of view as regards their importance and applicability, introducing the necessary basic notions of turbulent flows. In addition, the course deals with practical aspects of flow simulation (boundary conditions, grid generation, evaluation criteria of the results, etc.). The understanding of the usability and practical relevance of individual methods will be supported by their implementation and investigation in simple, but significant, flow configurations.
The aim of this module is to present common modeling approaches for the numerical treatment of turbulent flows and to show their influencing parameters. The underlying physics upon which turbulence models are built will be addressed keeping in mind application-oriented issues. Notably, the students will be enabled to critically evaluate and discuss the modeling results. For this purpose, the study of individual models and the implementation of evaluation criteria in specific programming codes will be required. The students will compare different models and methods of solution against each other and apply them to different flow problems. They shall also be enabled to systematically solve new simulation cases using appropriate methods.
Form and Extent
- The module completition requires the realization of a programming project and a final 30-min presentation of the results achieved.
- Registration at the Prüfungsamt is required shortly after the beginning of the course (approximately within two weeks). Without a preliminary registration, the students cannot be enabled for the final grading.
- 6 LP will be awarded to the students who pass sufficient examinations.
For the participation in the course, the students are required to have knowledge of fluid dynamics, numerical analysis and at least one programming language. Completition of the CFD2 module and experience with MATLAB and/or GNU Octave computing environments are strongly recommended.