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Dr. Robert Klöfkorn

Institut für Angewandte Analysis und Numerische Simulation (IANS)
Numerische Mathematik für Höchstleistungsrechner (NMH)

Fakultät für Mathematik und Physik
Universität Stuttgart
Pfaffenwaldring 57
D-70569 Stuttgart

Büro: 7.155
Telefon: +49 (0) 711 - 685 69773
Fax +49 (0) 711 - 685 65507
E-mail: robert.kloefkorn(at)ians.uni-stuttgart.de

 

Research interests

    From a methodological point of view the focus of my work is

    • local adaptive and parallel schemes
    • higher order schemes for evolution equations
    • numerical methods for
      • convection dominated flows
      • diffusion dominated flows
    • modern mathematical methods in realistic applications
    • model reduction for combustion processes
    • software development, in particular for large scale simulations (HPC), and
    • scientific computing
    Concerning applications, I'm interested in computational science in the field of:
    • computational fluid dynamics (eg. simulation of 2-stroke engines or porous media flow)
    • meteorology and climate research
    • combustion, and
    • life sciences (biology)

 

Publications

(html or pdf)

 

Software development

    I'm a developer and project manager of the following open source software packages for scientific computing:
    • DUNE - Distributed and Unified Numerics Environment
    • DUNE-FEM und DUNE-FEM-DG - a DUNE module which provides interfaces and infrastructure for different discretization methods, such as FEM, DG, and FV
    • ALUGrid - an adaptive and parallel grid manager which is also capable of dynamic load balancing
    Further DUNE modules developed by myself:
    • solver-bench -- a module used for the comparison of different numerical schmemes in terms of computational effort as part of the FVCA6 benchmark
    • ParallelGrid -- a DUNE module providing a DUNE grid implementation to turn a previously serial grid into a parallel grid
    • motor -- a module for simulation of 2-stroke engines
    Miscellaneous:

 

Projects

 

Publications

    Journal Papers and Preprints

    Journal Papers and Preprints

    [1] S. Brdar, M. Baldauf, A. Dedner, and R. Klöfkorn. Comparison of dynamical cores for NWP models: comparison of COSMO and Dune. Theoretical and Computational Fluid Dynamics, pages 1-20, 2012. [ bib | DOI | http ]
    Keywords: Compressible flow; Euler; Navier–Stokes; Discontinuous Galerkin; Finite differences; Density current; Inertia gravity
    [2] S. Brdar, A. Dedner, and R. Klöfkorn. Compact and stable Discontinuous Galerkin methods for convection-diffusion problems. SIAM J. Sci. Comput., 34(1), 2012. [ bib | DOI ]
    [3] A. Dedner and R. Klöfkorn. A Generic Stabilization Approach for Higher Order Discontinuous Galerkin Methods for Convection Dominated Problems. J. Sci. Comput., 47(3):365-388, 2011. [ bib | DOI ]
    [4] A. Dedner, R. Klöfkorn, M. Nolte, and M. Ohlberger. A Generic Interface for Parallel and Adaptive Scientific Computing: Abstraction Principles and the DUNE-FEM Module. Computing, 90(3-4):165-196, 2010. [ bib | DOI | .pdf ]
    [5] P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, R. Kornhuber, M. Ohlberger, and O. Sander. A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part II: Implementation and Tests in DUNE. Computing, 82(2-3):121-138, 2008. [ bib | DOI | .pdf ]
    [6] P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, M. Ohlberger, and O. Sander. A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part I: Abstract Framework. Computing, 82(2-3):103-119, 2008. [ bib | DOI | .pdf ]
    [7] A. Dedner, R. Klöfkorn, and D. Kröner. Efficient higher order methods for convection dominated problems on unstructured grids and applications. Comput. Tech., 13:25-35, 2008. [ bib ]
    [8] R. Backofen, H.-G. Borrmann, W. Deck, A. Dedner, L. De Raedt, K. Desch, M. Diesmann, M. Geier, A. Greiner, W.R. Hess, J. Honerkamp, S. Jankowski, I. Krossing, A.W. Liehr, A. Karwathi, R. Klöfkorn, R. Pesché, T.C. Potjans, M.C. Röttger, L. Schmidt-Thieme, G. Schneider, B. Voß, B. Wiebelt, P. Wienemann, and V.-H. Winterer. A Bottom-up approach to Grid-Computing at a University: the Black-Forest-Grid Initiative. Praxis der Informationsverarbeitung und Kommunikation, 29(2):81-87, 2006. [ bib ]
    [9] R. Klöfkorn, D. Kröner, and M. Ohlberger. Local adaptive methods for convection dominated problems. Int. J. Numer. Methods Fluids, 40(1-2):79-91, 2002. [ bib | DOI ]
    Book Chapters and Proceedings

    Book Chapters and Proceedings

    [1] R. Klöfkorn. Efficient Matrix-Free Implementation of Discontinuous Galerkin Methods for Compressible Flow Problems. In A. Handlovicova et al., editor, Proceedings of the ALGORITMY 2012, pages 11-21, 2012. [ bib | .pdf ]
    [2] A. Dedner, R. Klöfkorn, M. Nolte, and M. Ohlberger. Dune-fem: A general purpose discretization toolbox for parallel and adaptive scientific computing. In A. Dedner, B. Flemisch, and R. Klöfkorn, editors, Advances in DUNE, pages 17-31. Springer Berlin Heidelberg, 2012. [ bib | DOI | http ]
    [3] R. Klöfkorn and M. Nolte. Performance pitfalls in the dune grid interface. In A. Dedner, B. Flemisch, and R. Klöfkorn, editors, Advances in DUNE, pages 45-58. Springer Berlin Heidelberg, 2012. [ bib | DOI | http ]
    [4] R. Eymard, G. Henry, R. Herbin, F. Hubert, R. Klöfkorn, and G. Manzini. 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids. In J. Fort, J. Fürst, J. Halama, R. Herbin, and F. Hubert, editors, Finite Volumes for Complex Applications VI Problems & Perspectives, volume 4 of Springer Proceedings in Mathematics, pages 895-930. Springer Berlin Heidelberg, 2011. [ bib | DOI ]
    [5] R. Klöfkorn. Benchmark 3D: The Compact Discontinuous Galerkin 2 Scheme. In J. Fort, J. Fürst, J. Halama, R. Herbin, and F. Hubert, editors, Finite Volumes for Complex Applications VI Problems & Perspectives, volume 4 of Springer Proceedings in Mathematics, pages 1023-1033. Springer Berlin Heidelberg, 2011. [ bib | DOI ]
    [6] A. Dedner, M. Fein, R. Klöfkorn, D. Kröner, D. Lebiedz, J. Siehr, and J. Unger. On the computation of slow manifolds in chemical kinetics via optimization and their use as reduced models in reactive flow systems. 2011. to appear. [ bib ]
    [7] S. Brdar, A. Dedner, and R. Klöfkorn. Compact and Stable Discontinuous Galerkin Methods with Application to Atmospheric Flows. In I. Kondov et al., editor, Computational Methods in Science and Engineering: Proceedings of the Workshop SimLabs@KIT, pages 109-116. KIT Scientific Publishing, 2011. [ bib | DOI ]
    [8] S. Brdar, A. Dedner, and R. Klöfkorn. CDG Method for Navier-Stokes Equations. In Proc. of the 13th International Conference on Hyperbolic Problems: Theory, Numerics, Applications. 2010. to appear. [ bib ]
    [9] S. Brdar, A. Dedner, R. Klöfkorn, M. Kränkel, and D. Kröner. Simulation of Geophysical Problems with DUNE-FEM. In E. Krause et al., editor, Computational Science and High Performance Computing IV, volume 115, pages 93-106. Springer, 2011. [ bib | DOI ]
    [10] A. Dedner, R. Klöfkorn, and D. Kröner. Higher Order Adaptive and Parallel Simulations Including Dynamic Load Balancing with the Software Package DUNE. In W. Nagel et al., editor, High Performance Computing in Science and Engineering '09, pages 229-239. Springer, 2010. [ bib | DOI ]
    [11] A. Dedner and R. Klöfkorn. Stabilization for Discontinuous Galerkin Methods Applied to Systems of Conservation Laws. In E. Tadmor et al., editor, Proc. of the 12th International Conference on Hyperbolic Problems, Proceedings of Symposia in Applied Mathematics 67, Part 1, 253-268, 2009. [ bib ]
    [12] A. Dedner and R. Klöfkorn. The compact discontinuous Galerkin method for elliptic problems. In Finite volumes for complex applications V, pages 761-776. ISTE, London, 2008. [ bib ]
    [13] R. Klöfkorn, D. Kröner, and M. Ohlberger. Parallel Adaptive Simulation of PEM Fuel Cells. In H.-J. Krebs and W. Jäger, editors, Mathematics - Key Technology for the Future, pages 235-249. Springer, 2008. [ bib | DOI ]
    [14] P. Bastian, M. Blatt, A. Dedner, Ch. Engwer, R. Klöfkorn, S.P. Kuttanikkad, M. Ohlberger, and O. Sander. The Distributed and Unified Numerics Environment (DUNE). In Proc. of the 19th Symposium on Simulation Technique in Hannover, Sep. 12 - 14, 2006. [ bib ]
    [15] A. Burri, A. Dedner, D. Diehl, R. Klöfkorn, and M. Ohlberger. A general object oriented framework for discretizing non-linear evolution equations. In Y. Shokin et al., editor, Advances in High Performance Computing and Computational Sciences, volume 93, pages 69-87. Springer, 2006. [ bib | DOI ]
    [16] A. Burri, A. Dedner, R. Klöfkorn, and M. Ohlberger. An efficient implementation of an adaptive and parallel grid in dune. In E. Krause et al., editor, Computational Science and High Performance Computing II, volume 91, pages 67-82. Springer, 2006. [ bib | DOI ]
    [17] P. Bastian, M. Droske, Ch. Engwer, R. Klöfkorn, T. Neubauer, M. Ohlberger, and M. Rumpf. Towards a unified framework for scientific computing. In T. Barth et al., editor, Domain Decomposition Methods in Science and Engineering, number 40 in LNCSE, pages 167-174. Springer, 2005. [ bib | DOI ]
    [18] K. Kühn, M. Ohlberger, J.O. Schumacher, C. Ziegler, and R. Klöfkorn. A dynamic two-phase flow model of proton exchange membrane fuel cells. Report 03-07, CSCAMM, University of Maryland, College Park, 2003. presented at the 2nd EUROPEAN PEM FUEL CELL FORUM, Lucerne. [ bib | .pdf ]
    Edited Books and Theses

    Edited Books and Theses

    [1] A. Dedner, B. Flemisch, and R. Klöfkorn. Advances in DUNE. Springer, 2012. [ bib ]
    [2] R. Klöfkorn. Numerics for Evolution Equations - A General Interface Based Design Concept. PhD thesis, Albert-Ludwigs-Universität Freiburg, 2009. http://www.freidok.uni-freiburg.de/volltexte/7175/. [ bib ]
    [3] R. Klöfkorn. Simulation von Abbau- und Transportprozessen gelöster Schadstoffe im Grundwasser. Diploma thesis, Albert-Ludwigs-Universität Freiburg, 2001. [ bib | .pdf.gz ]
    My list of publications was generated with bibtex2html.