2017
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Sonntag, Matthias; Munz, Claus-Dieter Efficient Parallelization of a Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Sub-cells Journal Article Journal of Scientific Computing, 70 (3), pp. 1262–1289, 2017, ISSN: 1573-7691. Abstract | Links | BibTeX @article{Sonntag2016,
title = {Efficient Parallelization of a Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Sub-cells},
author = {Matthias Sonntag and Claus-Dieter Munz},
url = {http://dx.doi.org/10.1007/s10915-016-0287-5},
doi = {10.1007/s10915-016-0287-5},
issn = {1573-7691},
year = {2017},
date = {2017-01-01},
journal = {Journal of Scientific Computing},
volume = {70},
number = {3},
pages = {1262--1289},
abstract = {We present a shock capturing procedure for high order Discontinuous Galerkin methods, by which shock regions are refined in sub-cells and treated by finite volume techniques. Hence, our approach combines the good properties of the Discontinuous Galerkin method in smooth parts of the flow with the perfect properties of a total variation diminishing finite volume method for resolving shocks without spurious oscillations. Due to the sub-cell approach the interior resolution on the Discontinuous Galerkin grid cell is nearly preserved and the number of degrees of freedom remains the same. This structure allows the interpretation of the data either as DG solution or as finite volume solution on the subgrid. In this paper we explain the efficient implementation of this coupled method on massively parallel computers and show some numerical results.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We present a shock capturing procedure for high order Discontinuous Galerkin methods, by which shock regions are refined in sub-cells and treated by finite volume techniques. Hence, our approach combines the good properties of the Discontinuous Galerkin method in smooth parts of the flow with the perfect properties of a total variation diminishing finite volume method for resolving shocks without spurious oscillations. Due to the sub-cell approach the interior resolution on the Discontinuous Galerkin grid cell is nearly preserved and the number of degrees of freedom remains the same. This structure allows the interpretation of the data either as DG solution or as finite volume solution on the subgrid. In this paper we explain the efficient implementation of this coupled method on massively parallel computers and show some numerical results. |
2016
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Sonntag, Matthias; Schmidt, Stephan; Gauger, Nicolas R Shape derivatives for the compressible Navier-Stokes equations in variational form Journal Article Journal of Computational and Applied Mathematics, 296 , pp. 334–351, 2016, ISSN: 0377-0427. Links | BibTeX @article{Sonntag_shapederivative,
title = {Shape derivatives for the compressible Navier-Stokes equations in variational form },
author = {Matthias Sonntag and Stephan Schmidt and Nicolas R. Gauger},
url = {http://www.sciencedirect.com/science/article/pii/S0377042715004628},
doi = {10.1016/j.cam.2015.09.010},
issn = {0377-0427},
year = {2016},
date = {2016-01-01},
journal = {Journal of Computational and Applied Mathematics},
volume = {296},
pages = {334--351},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
|
Boblest, Sebastian; Hempert, Fabian; Hoffmann, Malte; Offenhäuser, Philipp; Sonntag, Matthias; Sadlo, Filip; Glass, Colin W; Munz, Claus-Dieter; Ertl, Thomas; Iben, Uwe Toward a Discontinuous Galerkin Fluid Dynamics Framework for Industrial Applications Book Chapter Nagel, Wolfgang E; Kröner, Dietmar H; Resch, Michael M (Ed.): High Performance Computing in Science and Engineering textasciiacute15: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2015, pp. 531–545, Springer International Publishing, Cham, 2016, ISBN: 978-3-319-24633-8. Links | BibTeX @inbook{Boblest2016,
title = {Toward a Discontinuous Galerkin Fluid Dynamics Framework for Industrial Applications},
author = {Sebastian Boblest and
Fabian Hempert
and Malte Hoffmann
and Philipp Offenhäuser
and Matthias Sonntag
and Filip Sadlo
and Colin W. Glass
and Claus-Dieter Munz
and Thomas Ertl
and Uwe Iben},
editor = { Wolfgang E. Nagel
and Dietmar H. Kröner
and Michael M. Resch},
url = {http://dx.doi.org/10.1007/978-3-319-24633-8_34},
doi = {10.1007/978-3-319-24633-8_34},
isbn = {978-3-319-24633-8},
year = {2016},
date = {2016-01-01},
booktitle = {High Performance Computing in Science and Engineering textasciiacute15: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2015},
pages = {531--545},
publisher = {Springer International Publishing},
address = {Cham},
keywords = {},
pubstate = {published},
tppubtype = {inbook}
}
|
2015
|
Kaland, L; Sonntag, M; Gauger, N R Adaptive Aerodynamic Design Optimization for Navier-Stokes Using Shape Derivatives with Discontinuous Galerkin Methods Book Chapter Greiner, David ; Galván, Blas ; Périaux, Jacques ; Gauger, Nicolas ; Giannakoglou, Kyriakos ; Winter, Gabriel (Ed.): Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences, pp. 143–158, Springer International Publishing, Cham, 2015, ISBN: 978-3-319-11541-2. Links | BibTeX @inbook{Kaland2015,
title = {Adaptive Aerodynamic Design Optimization for Navier-Stokes Using Shape Derivatives with Discontinuous Galerkin Methods},
author = {Kaland, L. and Sonntag, M. and Gauger, N. R.},
editor = {Greiner, David and Galván, Blas and Périaux, Jacques and Gauger, Nicolas and Giannakoglou, Kyriakos and Winter, Gabriel},
doi = {10.1007/978-3-319-11541-2_9},
isbn = {978-3-319-11541-2},
year = {2015},
date = {2015-01-01},
booktitle = {Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences},
pages = {143--158},
publisher = {Springer International Publishing},
address = {Cham},
keywords = {},
pubstate = {published},
tppubtype = {inbook}
}
|
2014
|
Sonntag, Matthias ; Munz, Claus-Dieter Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells Incollection Fuhrmann, Jürgen ; Ohlberger, Mario ; Rohde, Christian (Ed.): Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, 78 , pp. 945-953, Springer International Publishing, 2014, ISBN: 978-3-319-05590-9. Abstract | Links | BibTeX @incollection{,
title = {Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells},
author = {Sonntag, Matthias and Munz, Claus-Dieter},
editor = {Fuhrmann, Jürgen and Ohlberger, Mario and Rohde, Christian},
url = {http://dx.doi.org/10.1007/978-3-319-05591-6_96},
doi = {10.1007/978-3-319-05591-6_96},
isbn = {978-3-319-05590-9},
year = {2014},
date = {2014-05-16},
booktitle = {Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems},
volume = {78},
pages = {945-953},
publisher = {Springer International Publishing},
series = {Springer Proceedings in Mathematics & Statistics},
abstract = {We present a shock capturing procedure for high order discontinuous Galerkin methods, by which shock regions are refined and treated by the finite volume techniques. Hence, our approach combines the good properties of the discontinuous Galerkin method in smooth parts of the flow with the perfect properties of a total variation diminishing finite volume method for resolving shocks without spurious oscillations. Due to the subcell approach the interior resolution on the discontinuous Galerkin grid cell is preserved and the number of degrees of freedom remains the same. In this paper we focus on an implementation of this coupled method and show our first results.},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
We present a shock capturing procedure for high order discontinuous Galerkin methods, by which shock regions are refined and treated by the finite volume techniques. Hence, our approach combines the good properties of the discontinuous Galerkin method in smooth parts of the flow with the perfect properties of a total variation diminishing finite volume method for resolving shocks without spurious oscillations. Due to the subcell approach the interior resolution on the discontinuous Galerkin grid cell is preserved and the number of degrees of freedom remains the same. In this paper we focus on an implementation of this coupled method and show our first results. |
Room 1.011