Publications

Flexi algorithms and implementation details

  • F. Hindenlang, G. J. Gassner, C. Altmann, A. Beck, M. Staudenmaier, and C. Munz, “Explicit discontinuous galerkin methods for unsteady problems,” Computers & fluids, vol. 61, pp. 86-93, 2012.
    [Bibtex]
    @article{hindenlang2012explicit,
    title={Explicit discontinuous Galerkin methods for unsteady problems},
    author={Hindenlang, Florian and Gassner, Gregor J and Altmann, Christoph and Beck, Andrea and Staudenmaier, Marc and Munz, Claus-Dieter},
    journal={Computers \& Fluids},
    volume={61},
    pages={86--93},
    year={2012},
    publisher={Elsevier}
    }
  • F. Hindenlang, “Mesh curving techniques for high order parallel simulations on unstructured meshes,” PhD Thesis, 2014.
    [Bibtex]
    @phdthesis{hindenlang2014mesh,
    title={Mesh curving techniques for high order parallel simulations on unstructured meshes},
    author={Hindenlang, Florian},
    year={2014},
    school={University of Stuttgart}
    }

Simulations with Flexi

  • M. Atak, A. Beck, T. Bolemann, D. Flad, H. Frank, and C. Munz, “High fidelity scale-resolving computational fluid dynamics using the high order discontinuous galerkin spectral element method,” in High performance computing in science and engineering\’ 15, Springer, 2016, pp. 511-530.
    [Bibtex]
    @incollection{atak2016high,
    title={High Fidelity Scale-Resolving Computational Fluid Dynamics Using the High Order Discontinuous Galerkin Spectral Element Method},
    author={Atak, Muhammed and Beck, Andrea and Bolemann, Thomas and Flad, David and Frank, Hannes and Munz, Claus-Dieter},
    booktitle={High Performance Computing in Science and Engineering{\'{}} 15},
    pages={511--530},
    year={2016},
    publisher={Springer}
    }
  • G. J. Gassner and A. D. Beck, “On the accuracy of high-order discretizations for underresolved turbulence simulations,” Theoretical and computational fluid dynamics, vol. 27, iss. 3-4, pp. 221-237, 2013.
    [Bibtex]
    @ARTICLE{gassner2013accuracy,
    author = {Gassner, Gregor J and Beck, Andrea D},
    title = {On the accuracy of high-order discretizations for underresolved turbulence
    simulations},
    journal = {Theoretical and Computational Fluid Dynamics},
    year = {2013},
    volume = {27},
    pages = {221--237},
    number = {3-4},
    publisher = {Springer}
    }
  • D. Flad, H. Frank, A. D. Beck, and C. Munz, “A discontinuous galerkin spectral element method for the direct numerical simulation of aeroacoustics,” in 20th aiaa/ceas aeroacoustics conference, 2014, p. 2740.
    [Bibtex]
    @inproceedings{flad2014discontinuous,
    title={A Discontinuous Galerkin Spectral Element Method for the direct numerical simulation of aeroacoustics},
    author={Flad, David and Frank, Hannes and Beck, Andrea D and Munz, Claus-Dieter},
    booktitle={20th AIAA/CEAS Aeroacoustics Conference},
    pages={2740},
    year={2014}
    }

Theory and Numerical Analysis

  • G. Gassner and D. A. Kopriva, “A comparison of the dispersion and dissipation errors of gauss and gauss-lobatto discontinuous galerkin spectral element methods,” Siam journal on scientific computing, vol. 33, iss. 5, pp. 2560-2579, 2011.
    [Bibtex]
    @article{gassner2011disp,
    title={A comparison of the dispersion and dissipation errors of Gauss and Gauss-Lobatto discontinuous Galerkin spectral element methods},
    author={Gassner, Gregor and Kopriva, David A},
    journal={SIAM Journal on Scientific Computing},
    volume={33},
    number={5},
    pages={2560--2579},
    year={2011},
    publisher={SIAM}
    }
  • D. A. Kopriva and G. Gassner, “On the quadrature and weak form choices in collocation type discontinuous galerkin spectral element methods,” Journal of scientific computing, vol. 44, pp. 136-155, 2010.
    [Bibtex]
    @ARTICLE{KoprivaGassner2010,
    author = {Kopriva, David A. and Gassner, Gregor},
    title = {On the Quadrature and Weak Form Choices in Collocation Type Discontinuous
    Galerkin Spectral Element Methods},
    journal = {Journal of Scientific Computing},
    year = {2010},
    volume = {44},
    pages = {136-155},
    issue = {2},
    keywords = {Spectral element; Discontinuous Galerkin; Collocation}
    }