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Lecture

Dynamic Models

Type Lecture (1 SWS) + Exercise (1 SWS)
Rhythm Summer Semester
Audience Bachelor BIW, CIW
Master BIW, CIW, PSE
Language English
LV number 061610
LSF number 061611

Please refer to the LFS for the most recent information.

Course content

The course which is taught in English provides the students with the mathematical foundations to model and analyse dynamic systems. It covers the following topics:

  • Modeling and simulation of dynamic distributed parameter systems: Fundamental equations, initial and boundary conditions, solution of partial differential equation systems by spatial discretization and orthogonal collocation.
  • Differential algebraic equation systems: Origin of DAE systems, index of a DAE system, numerical solution.
  • Model simplification and model reduction.

Acquired competences

The students can formulate PDE models of processing systems and can discretize the models and apply suitable numerical algorithms for their solution. They know the specific problems related to the solution of DAE models, can compute the index of a DAE system and perform index reduction. They can simplify dynamic models tailored to the purpose of the model.

Details

Exam Written (120 min) / Oral (30 min) + Graded Homework
Preliminaries Mathematik 1, Mathematik 2, Einführung in die Programmierung.
Knowledge of the course "Prozessdynamik und Regelung / Introduction to Process Dynamics and Control"
Literature The slides of the course and any additional materials such as literature lists and website recommendations will be published in the virtual workrooms in Moodle provided for this purpose. Details will be announced at the beginning of the course.

Only the information found in the LSF and the most recent edition of the Modulhandbuch der Fakultät
Bio – und Chemieingenieurwesen is binding. The content on this page may not reflect the most up-to-date information.

Location & approach

The campus of TU Dort­mund University is located close to interstate junction Dort­mund West, where the Sauerlandlinie A 45 (Frankfurt-Dort­mund) crosses the Ruhrschnellweg B 1 / A 40. The best interstate exit to take from A 45 is “Dort­mund-Eichlinghofen” (closer to South Campus), and from B 1 / A 40 “Dort­mund-Dorstfeld” (closer to North Campus). Signs for the uni­ver­si­ty are located at both exits. Also, there is a new exit before you pass over the B 1-bridge leading into Dort­mund.

To get from North Campus to South Campus by car, there is the connection via Vogelpothsweg/Baroper Straße. We recommend you leave your car on one of the parking lots at North Campus and use the H-Bahn (suspended monorail system), which conveniently connects the two campuses.

The Laboratory of Process Automation Systems is located at Building G2 on the North Campus. Find more information here.

TU Dort­mund University has its own train station (“Dort­mund Uni­ver­si­tät”). From there, suburban trains (S-Bahn) leave for Dort­mund main station (“Dort­mund Hauptbahnhof”) and Düsseldorf main station via the “Düsseldorf Airport Train Station” (take S-Bahn number 1, which leaves every 15 or 30 minutes). The uni­ver­si­ty is easily reached from Bochum, Essen, Mülheim an der Ruhr and Duisburg.

You can also take the bus or subway train from Dort­mund city to the uni­ver­si­ty: From Dort­mund main station, you can take any train bound for the Station “Stadtgarten”, usually lines U41, U45, U 47 and U49. At “Stadtgarten” you switch trains and get on line U42 towards “Hombruch”. Look out for the Station “An der Palmweide”. From the bus stop just across the road, busses bound for TU Dort­mund University leave every ten minutes (445, 447 and 462). Another option is to take the subway routes U41, U45, U47 and U49 from Dort­mund main station to the stop “Dort­mund Kampstraße”. From there, take U43 or U44 to the stop “Dort­mund Wittener Straße”. Switch to bus line 447 and get off at “Dort­mund Uni­ver­si­tät S”.

The Laboratory of Process Automation Systems is located at Building G2 on the North Campus. Find more information here.

The H-Bahn is one of the hallmarks of TU Dort­mund University. There are two stations on North Campus. One (“Dort­mund Uni­ver­si­tät S”) is directly located at the suburban train stop, which connects the uni­ver­si­ty directly with the city of Dort­mund and the rest of the Ruhr Area. Also from this station, there are connections to the “Technologiepark” and (via South Campus) Eichlinghofen. The other station is located at the dining hall at North Campus and offers a direct connection to South Campus every five minutes.

The Laboratory of Process Automation Systems is located at Building G2 on the North Campus. Find more information here. The building is within 5min walking distance of the H-Bahn Station "Dining Hall at North Campus".

The facilities of TU Dortmund University are spread over two campuses, the larger Campus North and the smaller Campus South. Additionally, some areas of the university are located in the adjacent “Technologiepark”.

Site Map of TU Dortmund University (Second Page in English).

Interactive map

The facilities of TU Dortmund University are spread over two campuses, the larger Campus North and the smaller Campus South. Additionally, some areas of the university are located in the adjacent "Technologiepark".

Campus Lageplan Zum Lageplan