# 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, p. 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, p. 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, p. 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, p. 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}
}