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Continuum Mechanical Modeling for Simulation Science
This website is published under the CC BY-NC-SA 4.0 license (go to license). If you want to refer to the content of this webpage, please cite
@online{CMM,
author = {Julia Kowalski, Ingo Steldermann, Alan Correa, Marc S. Boxberg},
title = {Continuum Mechanical Modeling for Simulation Science},
year = 2024,
url = {https://mbd_lectures.pages.rwth-aachen.de/cmm},
urldate = {YYYY-MM-DD}
}About the course
The course is lectured by Prof. Julia Kowalski, head of the Chair of Methods for Model-based Development in Computational Engineering as part of the Simulation Science study program at RWTH Aachen University. It is designed as a 14 week graduate course with 2 lectures and 1 tutorial each week.
Required preliminary knowledge
Calculus, linear algebra and basic knowledge of numerical methods for partial differential equations. Basic knowledge on fluidmechanics and thermodynamics is an advantage, but no must.
How to contribute?
This webpage provides material that complements in person lectures and literature that has been provided. Should you spot any typos or errors, we’d be grateful if you supported us via creating an issue here. You can find a list of all helping hands here.
The RWTH Moodle platform is used in conjunction with this weppage. The RWTH Moodle will be used for:
- announcements (change of dates/rooms, exam related information)
- groups for homework assignments
- homework submission
This webpage will be used for:
- sharing lecture notes
- sharing slides
- sharing homework sheets
If you have trouble accessing the RWTH Moodle or parts of this webpage, do not hesitate to contact:
steldermann@mbd.rwth-aachen, correa@mbd.rwth-aachen.de
Schedule (SoSe 2024)
If not announced otherwise, the lectures/exercises take place as such:
Lectures:
Tuesday 8:30 – 10:00 (ESS, Room MS)
Friday 8:30 – 10:00 (ESS, Room MS)
Exercises:
- Wednesday 8:30 – 10:00 (ESS, Room MS)
Exam: 14.08.2024 11:00 – 13:00 (Rogowski, Room 321)
| L | Ex | W | Date | Topic | |
|---|---|---|---|---|---|
| 1 | Tu | 09.04. | Organisation lecture + Introduction | ||
| 1 | We | 10.04. | Organisation exercises + basics | ||
| 2 | Fr | 12.04. | chapter 2 complete | ||
| 3 | Tu | 16.04. | canceled -> inverted classroom on 17.04 + video (see slides) | ||
| 2 | We | 17.04. | Eulerian vs Lagrangian + Balance laws | ||
| 4 | Fr | 19.04. | chapter 4 ( beginning until 4.3) | ||
| 5 | Tu | 23.04. | chapter 4 ( 4.4 until end) | ||
| 3 | We | 24.04. | repetition chapter 4 + velocity gradient / vorticity | ||
| 6 | Fr | 26.04. | chapter 5 ( beginning until 5.5.4) | ||
| 7 | Tu | 30.04. | chapter 5 (5.5.5 until end) + motivation chapter 6 | ||
| – | We | 01.05. | HOLIDAY | ||
| 8 | Fr | 03.05. | chapter 6 (beginning until 6.3) | ||
| 9 | Tu | 07.05. | chapter 6 (6.4 until 6.7) | ||
| 4 | We | 08.05. | Linear Elasticity | ||
| 10 | Fr | 10.05. | chapter 6 (6.8 until end) + wrap-up | ||
| 11 | Tu | 14.05. | chapter 7 motivation + (7.1 - 7.4 first part) | ||
| 5 | We | 15.05. | Elastic Waves, Small Deformations | ||
| 12 | Fr | 17.05. | chapter 7 (7.4 second part - 7.6) + wrap-up | ||
| – | Tu | 21.05. | – | EXCURSION WEEK | |
| – | We | 22.05. | – | EXCURSION WEEK | |
| – | Fr | 24.05. | – | EXCURSION WEEK | |
| 13 | Tu | 28.05. | chapter 8 motivation + (8.1 - 8.3) | ||
| 6 | We | 29.05. | solutions HW02 (1-4) | ||
| 14 | Fr | 31.05. | chapter 8 (8.4 - 8.6) + wrap-up | ||
| 15 | Tu | 04.06. | Navier Stokes : Lid-driven cavity (Coding Exercise) + solutions HW02(5-6) | ||
| 7 | We | 05.06. | Chapter 9 motivation + (9.1-9.5.1) | ||
| 16 | Fr | 07.06. | Chapter 9 (9.5.2 - 9.8) + solutions HW02 (7) | ||
| 17 | Tu | 11.06. | Riemann-problem, shocks,Rankine-Hugoniot | ||
| 8 | We | 12.06. | FVM for 2d-quarilateral meshes | ||
| 18 | Fr | 14.06. | Path-conservative FVM: Roe solver | ||
| 19 | Tu | 18.06. | chapter 10 motivation + (10.1 - 10.2) + wrap-up | ||
| 9 | We | 19.06. | solutions HW03 (1-5) | ||
| 20 | Fr | 21.06. | cancelled | ||
| 21 | Tu | 25.06. | chapter 11 motivation + (11.1 - 11.4) | ||
| 10 | We | 26.06. | solutions HW03(5-8) | ||
| 22 | Fr | 28.06. | chapter 12 motivation + (12.1) | ||
| 23 | Tu | 02.07. | chapter 12 (12.2 - 12.3) + chapter 13 (13.2 - part 1) | ||
| 11 | We | 03.07. | solutions HW04 (except Oil-Skimmer) + derivation (unphysical) CCM model | ||
| 24 | Fr | 05.07. | chapter 13 (13.2 - 13.3) | ||
| 25 | Tu | 09.07. | chapter 13 (13.4) | ||
| 12 | We | 10.07. | solutions HW05 | ||
| 2 | 13 | Fr | 12.07. | solutions HW05 (FVM-code) + overview composite Stefan problem | |
| 26 | Tu | 16.07. | Excursion MRI | Campus Melaten | |
| 14 | We | 17.07. | solutions HW06 + Summary + Q&A Exercises | ||
| 27 | Fr | 19.07. | Summary + Wrap-up lecture |