Development of Numerical Software at the Applied Math Department in Freiburg
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Research Topics
For numerical computation in the field of fluid dynamics an flexible implementation of a discretization grid is needed. The ALUGrid Library provides both hexahedral and tetrahedral grids which can be locally adapted and when used for parallel computations the decomposition of the domain can be recomputed.
The underlying grid concept for the ALUGrid Library was developed and implemented as part of a phd-thesis at the Abteilung für Angewandte Mathematik in Freiburg by Bernhard Schupp.
Key Features
ALUGrid Developer Team
Publications (describing the grid structure)
| [1] | B. Schupp. Entwicklung eines effizienten Verfahrens zur Simulation kompressibler Strömungen in 3D auf Parallelrechnern. Dissertation, Albert-Ludwigs-Universität Freiburg, Mathematische Fakultät, Dezember 1999. |
| [2] | A. Dedner and C. Rohde and B. Schupp and M. Wesenberg. A Parallel, Load Balanced MHD Code on Locally Adapted, Unstructured Grids in 3D. Preprint Mathatisches Institut, Universität Freiburg No. 30/2002, Computing and Visualization in Science, 7, 79-96 (2004). |
| [3] | A. Burri, A. Dedner, R. Klöfkorn, M. Ohlberger. An efficient implementation of an adaptive and parallel grid in DUNE. In Proc. of the 2nd Russian-German Advanced Research Workshop on Computational Science and High Performance Computing (2005). (example code described in the paper). |
Publications (using ALUGrid)
| [1] | A. Dedner. Solving the System of Radiattion Magnetohydrodynamics. Dissertation, Albert-Ludwigs-Universität Freiburg, Mathematische Fakultät, September 2003. |
| [2] | M. Wesenberg. Efficient finite-volume schemes for magnetohydrodynamic simulations in solar physics. Dissertation, Albert-Ludwigs-Universität Freiburg, Mathematische Fakultät, July 2003. |
| [3] | A. Dedner and and D. Kröner and C. Rohde and M. Wesenberg. Efficient Divergence Cleaning in Three-Dimensional MHD Simulations In: High Performance Computing in Science and Engineering '02, edited by E. Krause and W. Jäger, pp. 323-334 (Springer, 2003), |
| [4] | A. Dedner and D. Kröner and C. Rohde and M. Wesenberg. MHD Instabilities Arising in Solar Physics: A Numerical Approach In Hyperbolic Problems: Theory, Numerics, Applications, edited by H. Freistühler and G. Warnecke pp. 277-286 (ISNM 140, Birkhäuser, 2001. |
| [5] | U. Schweizer. Implementierung des Strahlungstransports auf lokal-adaptiven, unstrukturierten 3D-Gittern für Parallelrechner. Diplomarbeit, Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Januar 2006. |
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