AIMS AND CONTENT

LEARNING OUTCOMES

Knowledge about modern tools, such as sensitivity analysis, constrained optimization and nonmodal stability analysis, which are useful when analyzing linear systems that evolve in time. The different methods are not only applicable to fluid dynamics problems. A common ingredient to all methods is the efficient computation of sensitivities using so called adjoint equations. The mini projects introduced during the course will give the students the chance to develop, test and document tools which might be useful for future studies.

TEACHING METHODS

The course will be based on a series of conventional lectures, and numerical examples in relation to respective lecture, for the students to set in practice what they learn

SYLLABUS/CONTENT

The course is roughly divided into three parts; sensitivity analysis, constrained optimization and nonmodal stability analysis. The different lectures include both a theoretical part and practical numerical examples in which the students will put into practice what they learn. In order to facilitate the practical part regarding numerical examples, the initial lectures of the course comprise a short repetition regarding basic numerical analysis. At the beginning of the course the students will choose, together with the lecturer, a topic related to the content of the course that they will study both theoretically and numerically. This "mini" project shall be summarized in a report and finally presented at the end of the course. A sample document regarding the report style will be handed out and discussed in the beginning of the course.

RECOMMENDED READING/BIBLIOGRAPHY

Notes and other material will be provided by the instructor and the following textbooks are suggested:

Nocedal, J. & Wright, S.J.,1999, "Numerical optimization", Springer

Henningson, D.S. & Schmid, P.J., 2001, "Stability and transition in shear flows", Springer

LeVeque, R.J.,1998, "Finite Difference Methods for Differential Equations", University of Washington

TEACHERS AND EXAM BOARD

Exam Board

JAN OSCAR PRALITS (President)

ALESSANDRO BOTTARO

ANDREA MAZZINO

LESSONS

Class schedule

ADVANCED FLUID DYNAMICS

EXAMS

EXAM DESCRIPTION

A written examination will be performed at two occasions during the course. The final mark will be based on both the project and the two exams.

Exam schedule

FURTHER INFORMATION

Pre-requisites :

Aerodynamics, Transition and Turbulence