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Second year training

Short Courses

Specialised courses given by members and partners of SFB 1313

The second year training of doctoral researchers consists of specialised short courses given by the researchers of the SFB and the international partners. At least 3 credits must be achieved by full and associate members of IRTG-IMPM. For more information on the content of the courses and to register please scroll further down.

Name of module Credits Instructors Time and place
Solvers for nonlinear and/or coupled problems in porous media 3 F. A. Radu t.b.a.
Courses offered by the International Research Training Group (IRTG) DROPIT 3 see DROPIT website see DROPIT website

Course content

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The aim of this compact course is to give an overview over the most important techniques for solving nonlinear and/or coupled problems in porous media. Two model problems will be considered: the Richards equation and the (saturated and unsaturated) Biot equations. Linearization techniques, i.e. Newton method, L-scheme and Picard method will be presented. The convergence of the resulting schemes will be discussed. The techniques will be applied to Richards´ equation and implemented (FE or FV can be used). A study on the advantages and disadvantages of these methods w.r.t. efficiency and robustness will be performed (see [1]).

In the second part of the course iterative schemes, e.g. the fixed-stress method for the fully coupled Biot equations will be presented and implemented (see [2]). Nonlinear extensions (incl. unsaturated poromechanics) of the model and application of iterative schemes in combination with linearization will be then discussed (se [3, 4]).

Requirements: linear algebra, finite element or finite volume method, a laptop and a software package for solving PDEs (like DUNE, Fenics or even Matlab).

 

References

1. F. List, F.A. Radu, A study on iterative methods for Richards´ equation, Computational Geosciences 20, 2016, pp. 341-353.

2. J. W. Both, M. Borregales, J.M. Nordbotten, K. Kumar, F.A. Radu, Robust fixed stress splitting for Biot´s equation in heterogeneous media, Applied Math. Letters 68, 2017, pp. 101-108.

3. M. Borregales, F.A. Radu, K. Kumar, J.M. Nordbotten, Robust schemes for non-linear poromechanics, Computational Geosciences 22, 2018, pp. 1021-1038.

4. J. W. Both, K. Kumar, J.M. Nordbotten, F.A. Radu, Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media, Computers and Mathematics with Applications, 2018, DOI: 10.1016/j.camwa.2018.07.033.

The courses and seminars on droplet dynamics by IRTG DROPIT are also open for interested members of the IRTG-IMPM. For further information please visit the DROPIT website.


Accommodation for course participants from outside Stuttgart

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Campus.guest
Universitätsstraße 34
70569 Stuttgart

Römerhof Hotelbetrieb GmbH
Robert-Leicht-Straße 93
70563 Stuttgart

Hotel am Feuersee
Johannesstraße 2
70176 Stuttgart

Alex 30 Hostel
Alexanderstraße 30
70184 Stuttgart

Hotel Pflieger
Kriegerstraße 5-7
70191 Stuttgart

Past Courses

Name of module Credits Instructors Time and place
Multiscale modeling of flow in deformable fractured heterogenous porous media 3 H. Hajibeygi 3 May, 9:30-16:00, 4 May, 9:00-16:00, Pfaffenwaldring 61, U1.003 and Seminarraum 2
SFB 1313 - What are the challenges? 3 R. Helmig 7 May, 11 June, 18 June, 2 July, 16 July 2018, always 9:30-13:00, Pfaffenwaldring 61, U1.003
DuMuX Course 2018 3 B. Flemisch and LH2 18-20 July, Pfaffenwaldring 61, U1.003

For further information please contact

Dieses Bild zeigt Becker
M. Sc.

Beatrix Becker

Management, Project MGK, Central Project Z