2011 |
Florian Hindenlang, Jonathan Neudorfer, Gregor Gassner, Claus-Dieter Munz Unstructured three-dimensional High Order Grids for Discontinuous Galerkin Schemes (Inproceeding) 20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011 , 2011. (Abstract | Links | BibTeX | Tags: Curved Elements, Discontinuous Galerkin, Maxwell) @inproceedings{aiaa_curved,
title = {Unstructured three-dimensional High Order Grids for Discontinuous Galerkin Schemes},
author = {Florian Hindenlang and Jonathan Neudorfer and Gregor Gassner and Claus-Dieter Munz},
url = {http://pdf.aiaa.org/preview/2011/CDReadymfd11_2221/PV2011_3853.pdf},
year = {2011},
date = {2011-06-27},
booktitle = {20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011 },
journal = {20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011 },
number = {AIAA-2011-3853 },
abstract = {Discontinuous Galerkin (DG) methods are a prominent candidate for
high order accurate schemes for advection dominated problems in three-
dimensional complex geometries, since they sustain high order spatial ac-
curacy even on general unstructured grids. To maintain the high order
accuracy at curved wall boundaries, a high order representation of the el-
ements near the wall surface is required, i.e. high order grids. Regarding
three-dimensional curved geometries, the construction of such unstructured
curved grids is a subtle task. The implementation of the DG scheme will be
discussed, focusing on curved element mappings. The mappings of curved
element sides as well as the curved element volume are described. We
present our approach of the high order grid generation process in detail.
The main idea is to rely on established unstructured grid generators for a
basic volume grid consisting of straight sided elements and provide addi-
tionally high order information for the curved boundaries. We analyze the
properties of the geometry approximation with a simple test case using the
Maxwell equations. Finally, we present an unstructured curved mesh of a
fairly complex aircraft, showing the applicability of the approach.},
keywords = {Curved Elements, Discontinuous Galerkin, Maxwell}
}
Discontinuous Galerkin (DG) methods are a prominent candidate for
high order accurate schemes for advection dominated problems in three-
dimensional complex geometries, since they sustain high order spatial ac-
curacy even on general unstructured grids. To maintain the high order
accuracy at curved wall boundaries, a high order representation of the el-
ements near the wall surface is required, i.e. high order grids. Regarding
three-dimensional curved geometries, the construction of such unstructured
curved grids is a subtle task. The implementation of the DG scheme will be
discussed, focusing on curved element mappings. The mappings of curved
element sides as well as the curved element volume are described. We
present our approach of the high order grid generation process in detail.
The main idea is to rely on established unstructured grid generators for a
basic volume grid consisting of straight sided elements and provide addi-
tionally high order information for the curved boundaries. We analyze the
properties of the geometry approximation with a simple test case using the
Maxwell equations. Finally, we present an unstructured curved mesh of a
fairly complex aircraft, showing the applicability of the approach.
|
Gregor Gassner, Michael Dumbser, Florian Hindenlang, Claus-Dieter Munz Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors (Article) Journal of Computational Physics, 230 (11), pp. 4232 - 4247, 2011, (Special issue High Order Methods for CFD Problems). (Links | BibTeX | Tags: Discontinuous Galerkin, PNPM, Predictor-Corrector, Reconstruction, Space-Time) @article{Gassner20114232,
title = {Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors},
author = {Gregor Gassner and Michael Dumbser and Florian Hindenlang and Claus-Dieter Munz},
url = {http://www.sciencedirect.com/science/article/pii/S0021999110005802},
year = {2011},
date = {2011-01-01},
journal = {Journal of Computational Physics},
volume = {230},
number = {11},
pages = {4232 - 4247},
note = {Special issue High Order Methods for CFD Problems},
keywords = {Discontinuous Galerkin, PNPM, Predictor-Corrector, Reconstruction, Space-Time}
}
|
G. Gassner, D. Kopriva A Comparison of the Gauss and Gauss-Lobatto Discontinuous Galerkin Spectral Element Method for Wave Propagation Problems (Article) accepted in SIAM Journal of Scientific Computing, 2011, (accepted in SIAM Journal of Scientific Computing). (BibTeX | Tags: Collocation, Discontinuous Galerkin, Gauss-Legendre, Gauss-Lobatto-Legendre, Spectral Elements, Wave Propagation) @article{GassnerKopriva2011,
title = {A Comparison of the Gauss and Gauss-Lobatto Discontinuous Galerkin Spectral Element Method for Wave Propagation Problems},
author = {G. Gassner and D. Kopriva},
year = {2011},
date = {2011-01-01},
journal = {accepted in SIAM Journal of Scientific Computing},
note = {accepted in SIAM Journal of Scientific Computing},
keywords = {Collocation, Discontinuous Galerkin, Gauss-Legendre, Gauss-Lobatto-Legendre, Spectral Elements, Wave Propagation}
}
|
G. Gassner An Analysis of the Dissipation and Dispersion errors of the PNPM Schemes (Unpublished) 2011, (submitted to Journal of Scientific Computing). (BibTeX | Tags: PNPM, Reconstruction, Wave Propagation) @unpublished{GassnerPNPM,
title = {An Analysis of the Dissipation and Dispersion errors of the PNPM Schemes},
author = {G. Gassner},
year = {2011},
date = {2011-01-01},
note = {submitted to Journal of Scientific Computing},
keywords = {PNPM, Reconstruction, Wave Propagation}
}
|
G. J. Gassner, A. D. Beck On the Accuracy of High Order Discretizations for Underresolved Turbulence Simulations (Article) accepted in Theoretical and Computational Fluid Dynamics, 2011. (BibTeX | Tags: Coarse Resolution, Filtering, Overintegration, Taylor-Green Vortex, Turbulence) @article{GassnerBeck2012,
title = {On the Accuracy of High Order Discretizations for Underresolved Turbulence Simulations},
author = {G. J. Gassner and A. D. Beck},
year = {2011},
date = {2011-01-01},
journal = {accepted in Theoretical and Computational Fluid Dynamics},
keywords = {Coarse Resolution, Filtering, Overintegration, Taylor-Green Vortex, Turbulence}
}
|
J. Neudorfer, A. Stock, F. Hindenlang, G. Gassner, C.-D. Munz, R. Schneider, S. Roller Numerical Investigation of High-Order Gyrotron Mode Propagation in Launchers at 170 GHz (Unpublished) 2011, (in preperation). (BibTeX | Tags: Discontinuous Galerkin, Maxwell) @unpublished{NeudorferMaxwell,
title = {Numerical Investigation of High-Order Gyrotron Mode Propagation in Launchers at 170 GHz},
author = {J. Neudorfer and A. Stock and F. Hindenlang and G. Gassner and C.-D. Munz and R. Schneider and S. Roller},
year = {2011},
date = {2011-01-01},
note = {in preperation},
keywords = {Discontinuous Galerkin, Maxwell}
}
|
Altmann, Christoph An Explicit Discontinuous Galerkin Scheme with Divergence Cleaning for Magnetohydrodynamics (Book) Springer Berlin Heidelberg, 2011, ISSN: 978-3-642-15337-2, (10.1007/978-3-642-15337-2_33). (Links | BibTeX | Tags: Arbitrary High Order, Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, MHD) @book{springerlink:10.1007/978-3-642-15337-2_33,
title = {An Explicit Discontinuous Galerkin Scheme with Divergence Cleaning for Magnetohydrodynamics},
author = {Altmann, Christoph},
editor = {Hesthaven, Jan S. and Rønquist, Einar M. and Barth, T. J. and Griebel, M. and Keyes, D. E. and Nieminen, R. M. and Roose, D. and Schlick, T.},
url = {http://dx.doi.org/10.1007/978-3-642-15337-2_33},
issn = {978-3-642-15337-2},
year = {2011},
date = {2011-01-01},
booktitle = {Spectral and High Order Methods for Partial Differential Equations},
volume = {76},
pages = {357-364},
publisher = {Springer Berlin Heidelberg},
series = {Lecture Notes in Computational Science and Engineering},
note = {10.1007/978-3-642-15337-2_33},
keywords = {Arbitrary High Order, Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, MHD}
}
|
G. Gassner, F. Hindenlang, C.-D. Munz A Runge-Kutta based Discontinuous Galerkin Method with Time Accurate Local Time Stepping (Incollection) Wang, (Ed.): Adaptive High-Order Methods in Computational Fluid Dynamics, World Scientific, 2011. (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Runge-Kutta) @incollection{GHM2011,
title = {A Runge-Kutta based Discontinuous Galerkin Method with Time Accurate Local Time Stepping},
author = {G. Gassner and F. Hindenlang and C.-D. Munz},
editor = {Z. J. Wang},
url = {http://ebooks.worldscinet.com/ISBN/9789814313193/9789814313193_0004.html},
year = {2011},
date = {2011-01-01},
booktitle = {Adaptive High-Order Methods in Computational Fluid Dynamics},
publisher = {World Scientific},
series = {Advances in Computational Fluid Dynamics - Vol. 2},
keywords = {Discontinuous Galerkin, Local Timestepping, Runge-Kutta}
}
|
2012 |
Christoph Altmann Explicit Discontinuous Galerkin Methods for Magnetohydrodynamics (PhD Thesis) Universität Stuttgart, 2012, ISBN: 987-3-8439-0707-2. (Abstract | Links | BibTeX | Tags: Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, Magnetohydrodynamics, Shock Capturing, Space-Time, Viscous MHD) @phdthesis{AltmannPHD2012,
title = {Explicit Discontinuous Galerkin Methods for Magnetohydrodynamics},
author = {Christoph Altmann},
editor = {Claus-Dieter Munz and James Rossmanith},
url = {http://elib.uni-stuttgart.de/opus/frontdoor.php?source_opus=7998},
isbn = {987-3-8439-0707-2},
year = {2012},
date = {2012-09-14},
school = {Universität Stuttgart},
abstract = {In this work, the explicit space-time expansion discontinuous Galerkin (STEDG) method is adapted and applied to unsteady ideal and viscous magnetohydrodynamic (MHD) computations. With a special emphasis on shock-capturing and divergence correction of the magnetic eld, enhancements to the STE-DG method are proposed that are necessary within the MHD context.},
keywords = {Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, Magnetohydrodynamics, Shock Capturing, Space-Time, Viscous MHD}
}
In this work, the explicit space-time expansion discontinuous Galerkin (STEDG) method is adapted and applied to unsteady ideal and viscous magnetohydrodynamic (MHD) computations. With a special emphasis on shock-capturing and divergence correction of the magnetic eld, enhancements to the STE-DG method are proposed that are necessary within the MHD context.
|
F. Hindenlang, G. Gassner, C. Altmann, A. Beck, M. Staudenmaier, C.-D. Munz Explicit Discontinuous Galerkin methods for unsteady problems (Article) Computers&Fluids, 61, pp. 86-93, 2012, ISSN: 0045-7930. (Links | BibTeX | Tags: Discontinuous Galerkin, Navier-Stokes, Parallelization, Space-Time, Spectral Element Method) @article{Hindenlang2012,
title = {Explicit Discontinuous Galerkin methods for unsteady problems},
author = {F. Hindenlang and G. Gassner and C. Altmann and A. Beck and M. Staudenmaier and C.-D. Munz},
url = {http://dx.doi.org/10.1016/j.compfluid.2012.03.006},
issn = {0045-7930},
year = {2012},
date = {2012-05-03},
journal = {Computers&Fluids},
volume = {61},
pages = {86-93},
keywords = {Discontinuous Galerkin, Navier-Stokes, Parallelization, Space-Time, Spectral Element Method}
}
|
2010 |
Kopriva, David A., Gassner, Gregor On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods (Article) J. Sci. Comput., 44, pp. 136–155, 2010. (Links | BibTeX | Tags: Collocation, Discontinuous Galerkin, Gauss-Legendre, Gauss-Lobatto-Legendre, Spectral Elements, Strong Form, Weak Form) @article{Kopriva2010,
title = {On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods},
author = {Kopriva, David A. and Gassner, Gregor},
url = {http://dx.doi.org/10.1007/s10915-010-9372-3},
year = {2010},
date = {2010-01-01},
journal = {J. Sci. Comput.},
volume = {44},
pages = {136--155},
keywords = {Collocation, Discontinuous Galerkin, Gauss-Legendre, Gauss-Lobatto-Legendre, Spectral Elements, Strong Form, Weak Form}
}
|
C. Altmann, G. Gassner, M. Staudenmaier, C.-D. Munz High Order large Scale Calculations (Article) inSiDE, 8, pp. 12-15, 2010. (Links | BibTeX | Tags: High Performance Computing) @article{HLRS2010,
title = {High Order large Scale Calculations},
author = {C. Altmann and G. Gassner and M. Staudenmaier and C.-D. Munz},
url = {http://inside.hlrs.de/htm/Edition_02_10/article_04.html},
year = {2010},
date = {2010-01-01},
journal = {inSiDE},
volume = {8},
pages = {12-15},
keywords = {High Performance Computing}
}
|
C. Altmann, G. Gassner, C.-D. Munz An Explicit Space-Time Adaptive Discontinuous Galerkin Scheme (Inproceeding) Proceedings of ECCOMAS , 2010. (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Viscous MHD) @inproceedings{AGM2010,
title = {An Explicit Space-Time Adaptive Discontinuous Galerkin Scheme},
author = {C. Altmann and G. Gassner and C.-D. Munz},
url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=154},
year = {2010},
date = {2010-01-01},
booktitle = {Proceedings of ECCOMAS },
keywords = {Discontinuous Galerkin, Local Timestepping, Viscous MHD}
}
|
F. Hindenlang, G. Gassner, T. Bolemann, C.-D. Munz Unstructured High Order Grids and their Application in Discontinuous Galerkin Methods. (Inproceeding) Proceedings of ECCOMAS, 2010. (Links | BibTeX | Tags: Curved Elements, Discontinuous Galerkin, Spline Reconstruction, Surface Representation) @inproceedings{HGM2010,
title = {Unstructured High Order Grids and their Application in Discontinuous Galerkin Methods.},
author = {F. Hindenlang and G. Gassner and T. Bolemann and C.-D. Munz},
url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=156},
year = {2010},
date = {2010-01-01},
booktitle = {Proceedings of ECCOMAS},
keywords = {Curved Elements, Discontinuous Galerkin, Spline Reconstruction, Surface Representation}
}
|
A. Taube, G. Gassner, C.-D. Munz HP-Adaption in Space-Time within an Explicit Discontinuous Galerkin Framework. (Book) 2010. (Links | BibTeX | Tags: Discontinuous Galerkin, HP-Adaptation, Local Timestepping) @book{TGM2010,
title = {HP-Adaption in Space-Time within an Explicit Discontinuous Galerkin Framework.},
author = {A. Taube and G. Gassner and C.-D. Munz},
url = {http://books.google.com/books?id=zUjswoaMqyUC&pg=PA426&lpg=PA426&dq=HP-Adaption+in+Space-Time+within+an+Explicit+Discontinuous+Galerkin+Framework&source=bl&ots=Xes_oKNRg4&sig=x20CddSDq102HGnUhPaYAg9GJ9c&hl=en&ei=lC5ZTr6COM20hAfQh5Ui&sa=X&oi=book_result&ct=result&resnum=1&ved=0CBcQ6AEwAA#v=onepage&q=HP-Adaption%20in%20Space-Time%20within%20an%},
year = {2010},
date = {2010-01-01},
volume = {ADIGMA - A European Initiative on the De},
keywords = {Discontinuous Galerkin, HP-Adaptation, Local Timestepping}
}
|
A. Birkefeld, C.-D. Munz A Hybrid Method for CAA (Inproceeding) Proc. of the 36. Jahrestagung für Akustik der Deutschen Gesellschaft für Akustik, DAGA, Berlin, 2010. (BibTeX | Tags: Acoustics, Aeroacoustics, CAA, NoisSol) @inproceedings{Birkefeld_DAGA10,
title = {A Hybrid Method for CAA},
author = {A. Birkefeld and C.-D. Munz},
year = {2010},
date = {2010-01-01},
booktitle = {Proc. of the 36. Jahrestagung für Akustik der Deutschen Gesellschaft für Akustik, DAGA, Berlin},
keywords = {Acoustics, Aeroacoustics, CAA, NoisSol}
}
|
A. Birkefeld, A. Beck, M. Dumbser, C.-D. Munz, D. König, W. Schröder Advances in the Computational Aeroacoustics with the Discontinuous Galerkin Solver NoisSol (Inproceeding) Proc. of the 16th AIAA/CEAS Aeroacoustics Conference (31st AIAA Aeroacoustics Conference), Stockholm, 2010. (BibTeX | Tags: Acoustics, Aeroacoustics, CAA, Discontinuous Galerkin) @inproceedings{Birkefeld_AIAA10,
title = {Advances in the Computational Aeroacoustics with the Discontinuous Galerkin Solver NoisSol},
author = {A. Birkefeld and A. Beck and M. Dumbser and C.-D. Munz and D. König and W. Schröder},
year = {2010},
date = {2010-01-01},
booktitle = {Proc. of the 16th AIAA/CEAS Aeroacoustics Conference (31st AIAA Aeroacoustics Conference), Stockholm},
keywords = {Acoustics, Aeroacoustics, CAA, Discontinuous Galerkin}
}
|
2009 |
A. Birkefeld, J. Utzmann, C.–D. Munz A Hybrid Method for CAA (Inproceeding) 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference), May 2009.
, 2009. (BibTeX | Tags: Acoustics, Aeroacoustics, CAA, Discontinuous Galerkin) @inproceedings{Birkefeld_AIAA_2009,
title = {A Hybrid Method for CAA},
author = {A. Birkefeld, J. Utzmann, C.–D. Munz},
year = {2009},
date = {2009-05-01},
booktitle = {15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference), May 2009.
},
keywords = {Acoustics, Aeroacoustics, CAA, Discontinuous Galerkin}
}
|
Gregor J. Gassner, Frieder Lörcher, Claus-Dieter Munz, Jan S. Hesthaven Polymorphic nodal elements and their application in discontinuous Galerkin methods (Article) Journal of Computational Physics, 228 (5), pp. 1573 - 1590, 2009. (Links | BibTeX | Tags: Hybrid Spectral Elements, Interpolation, Interpolation Sets, Lebesgue Constant, Nodal Elements, Nodal Integration, Polymorphic Spectral Elements) @article{Gassner20091573,
title = {Polymorphic nodal elements and their application in discontinuous Galerkin methods},
author = {Gregor J. Gassner and Frieder Lörcher and Claus-Dieter Munz and Jan S. Hesthaven},
url = {http://www.sciencedirect.com/science/article/pii/S0021999108005834},
year = {2009},
date = {2009-01-01},
journal = {Journal of Computational Physics},
volume = {228},
number = {5},
pages = {1573 - 1590},
keywords = {Hybrid Spectral Elements, Interpolation, Interpolation Sets, Lebesgue Constant, Nodal Elements, Nodal Integration, Polymorphic Spectral Elements}
}
|
M. Dumbser, G. Gassner, C.-D. Munz Discontinuous Galerkin-Verfahren für zeitabhängige Advektions-Diffusions-Gleichungen (Article) Jahresbericht der Deutschen Mathematiker-Vereinigung Bd. 111, 2009. (Links | BibTeX | Tags: Discontinuous Galerkin, Space-Time) @article{DMV2009,
title = {Discontinuous Galerkin-Verfahren für zeitabhängige Advektions-Diffusions-Gleichungen},
author = {M. Dumbser and G. Gassner and C.-D. Munz},
url = {http://www.educheck.de/fachzeitschriften-T2176.htm},
year = {2009},
date = {2009-01-01},
journal = {Jahresbericht der Deutschen Mathematiker-Vereinigung Bd. 111},
keywords = {Discontinuous Galerkin, Space-Time}
}
|
Altmann, C., Gassner, G., Lörcher, F., Munz, C.-D. A Space-Time Expansion Discontinuous Galerkin Scheme With Local Time Stepping for the Ideal and Viscous MHD Equations (Article) Plasma Science, IEEE Transactions on, 37 (4), pp. 513 -519, 2009. (Links | BibTeX | Tags: Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, Space-Time, Viscous MHD) @article{4801684,
title = {A Space-Time Expansion Discontinuous Galerkin Scheme With Local Time Stepping for the Ideal and Viscous MHD Equations},
author = {Altmann, C. and Gassner, G. and Lörcher, F. and Munz, C.-D.},
url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4801684&tag=1},
year = {2009},
date = {2009-01-01},
journal = {Plasma Science, IEEE Transactions on},
volume = {37},
number = {4},
pages = {513 -519},
keywords = {Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, Space-Time, Viscous MHD}
}
|
G. J. Gassner Discontinuous Galerkin Methods for the Unsteady Compressible Navier-Stokes Equations (PhD Thesis) Universität Stuttgart, 2009. (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Navier-Stokes, Nodal Integration, Space-Time, Viscous Riemann Problem) @phdthesis{GassnerPHD2009,
title = {Discontinuous Galerkin Methods for the Unsteady Compressible Navier-Stokes Equations},
author = {G. J. Gassner},
url = {http://elib.uni-stuttgart.de/opus/volltexte/2009/3948/},
year = {2009},
date = {2009-01-01},
school = {Universität Stuttgart},
keywords = {Discontinuous Galerkin, Local Timestepping, Navier-Stokes, Nodal Integration, Space-Time, Viscous Riemann Problem}
}
|
G. Gassner, M. Haas An Explicit High Order Accurate Predictor-Corrector Time Integration Method with Consistent Local Time-Stepping for Discontinuous Galerkin Schemes (Inproceeding) AIP Conference Proceedings, 2009. (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping) @inproceedings{GH2009,
title = {An Explicit High Order Accurate Predictor-Corrector Time Integration Method with Consistent Local Time-Stepping for Discontinuous Galerkin Schemes},
author = {G. Gassner and M. Haas},
url = {http://www.deepdyve.com/lp/american-institute-of-physics/an-explicit-high-order-accurate-predictor-corrector-time-integration-0QXozZ7SOQ},
year = {2009},
date = {2009-01-01},
booktitle = {AIP Conference Proceedings},
keywords = {Discontinuous Galerkin, Local Timestepping}
}
|
C. Altmann, A. Taube, G. Gassner, F. Lörcher, C.-D. Munz Shock detection and limiting strategies for high order discontinuous Galerkin schemes (Book) 2009. (BibTeX | Tags: Discontinuous Galerkin, Shock Capturing) @book{ATGLM2009,
title = {Shock detection and limiting strategies for high order discontinuous Galerkin schemes},
author = {C. Altmann and A. Taube and G. Gassner and F. Lörcher and C.-D. Munz},
year = {2009},
date = {2009-01-01},
volume = {Shock Waves 2009 Part XIV},
keywords = {Discontinuous Galerkin, Shock Capturing}
}
|
Altmann, Christoph, Belat, Thomas, Gutnic, Michael, Helluy, Philippe, Mathis, Hélène, Sonnendrücker, Éric, Angulo, Wilfredo, Hérard, Jean-Marc A local time-stepping Discontinuous Galerkin algorithm for the MHD system (Article) ESAIM: Proc., 28, pp. 33-54, 2009. (Links | BibTeX | Tags: Conservation Law, Discontinuous Galerkin, Local Timestepping, MHD) @article{ refId,
title = {A local time-stepping Discontinuous Galerkin algorithm for the MHD system},
author = {Altmann, Christoph and Belat, Thomas and Gutnic, Michael and Helluy, Philippe and Mathis, Hélène and Sonnendrücker, Éric and Angulo, Wilfredo and Hérard, Jean-Marc},
url = {http://dx.doi.org/10.1051/proc/2009038},
year = {2009},
date = {2009-01-01},
journal = {ESAIM: Proc.},
volume = {28},
pages = {33-54},
keywords = {Conservation Law, Discontinuous Galerkin, Local Timestepping, MHD}
}
|
2008 |
A. Birkefeld, C.-D. Munz A Hybrid Method for CAA (Inproceeding) 16. DGLR / STAB - Symposium, November 2008
, 2008. (BibTeX | Tags: Acoustics, Aeroacoustics, CAA, Discontinuous Galerkin) @inproceedings{Birkefeld_STAB_2008,
title = {A Hybrid Method for CAA},
author = {A. Birkefeld, C.-D. Munz},
year = {2008},
date = {2008-11-01},
booktitle = {16. DGLR / STAB - Symposium, November 2008
},
journal = {J. Utzmann, A. Birkefeld and C.–D. Munz: Building Blocks for Direct Aeroacoustic Simulations based on Domain Decompositions, 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conferen},
keywords = {Acoustics, Aeroacoustics, CAA, Discontinuous Galerkin}
}
|
J. Utzmann, A. Birkefeld, C.–D. Munz Building Blocks for Direct Aeroacoustic Simulations based on Domain Decompositions (Inproceeding) 2008. (BibTeX | Tags: Acoustics, Aeroacoustics, CAA, Discontinuous Galerkin) @inproceedings{Utzmann_AIAA_2008,
title = {Building Blocks for Direct Aeroacoustic Simulations based on Domain Decompositions},
author = {J. Utzmann, A. Birkefeld, C.–D. Munz},
year = {2008},
date = {2008-05-01},
journal = {14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference), Mai 2008},
keywords = {Acoustics, Aeroacoustics, CAA, Discontinuous Galerkin}
}
|
Gassner, G., Lörcher, F., Munz, C.-D. A Discontinuous Galerkin Scheme based on a Space-Time Expansion II. Viscous Flow Equations in Multi Dimensions (Article) Journal of Scientific Computing, 34, pp. 260-286, 2008, (10.1007/s10915-007-9169-1). (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Navier-Stokes, Space-Time, Viscous Riemann Problem) @article{STEDG-2,
title = {A Discontinuous Galerkin Scheme based on a Space-Time Expansion II. Viscous Flow Equations in Multi Dimensions},
author = {Gassner, G. and Lörcher, F. and Munz, C.-D.},
url = {http://dx.doi.org/10.1007/s10915-007-9169-1},
year = {2008},
date = {2008-01-01},
journal = {Journal of Scientific Computing},
volume = {34},
pages = {260-286},
publisher = {Springer Netherlands},
note = {10.1007/s10915-007-9169-1},
keywords = {Discontinuous Galerkin, Local Timestepping, Navier-Stokes, Space-Time, Viscous Riemann Problem}
}
|
Frieder Lörcher, Gregor Gassner, Claus-Dieter Munz An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations (Article) Journal of Computational Physics, 227 (11), pp. 5649 - 5670, 2008. (Links | BibTeX | Tags: Discontinuous Galerkin, Non-linear Diffusion, Space-Time, Viscous Riemann Problem) @article{Lörcher20085649,
title = {An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations},
author = {Frieder Lörcher and Gregor Gassner and Claus-Dieter Munz},
url = {http://www.sciencedirect.com/science/article/pii/S0021999108001046},
year = {2008},
date = {2008-01-01},
journal = {Journal of Computational Physics},
volume = {227},
number = {11},
pages = {5649 - 5670},
keywords = {Discontinuous Galerkin, Non-linear Diffusion, Space-Time, Viscous Riemann Problem}
}
|
C. Altmann, G. Gassner, F. Lörcher, C.-D. Munz A space-time expansion discontinuous Galerkin scheme with local time-stepping for the ideal and viscous MHD equations. (Inproceeding) In Proceedings of ICOPS, 2008. (BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Space-Time, Viscous MHD) @inproceedings{AGLM2008,
title = {A space-time expansion discontinuous Galerkin scheme with local time-stepping for the ideal and viscous MHD equations.},
author = {C. Altmann and G. Gassner and F. Lörcher and C.-D. Munz},
year = {2008},
date = {2008-01-01},
booktitle = {In Proceedings of ICOPS},
keywords = {Discontinuous Galerkin, Local Timestepping, Space-Time, Viscous MHD}
}
|
C. Altmann, G. Gassner, F. Lörcher, A. Taube, C.-D. Munz An explicit space-time discontinuous Galerkin scheme with local time-stepping for unsteady ows (Inproceeding) Proceedings of ECCOMAS CFD, 2008. (BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Unsteady Flows) @inproceedings{AGLTM2008,
title = {An explicit space-time discontinuous Galerkin scheme with local time-stepping for unsteady ows},
author = {C. Altmann and G. Gassner and F. Lörcher and A. Taube and C.-D. Munz},
year = {2008},
date = {2008-01-01},
booktitle = {Proceedings of ECCOMAS CFD},
keywords = {Discontinuous Galerkin, Local Timestepping, Unsteady Flows}
}
|
F. Lörcher, G. Gassner, C.-D. Munz Space-Time Discontinous Galerkin Method for Unsteady Compressible Navier-Stokes Equations (Inproceeding) AIAA-2007-3477 13th AIAA/CEAS Aeroacoustics Conference, 2008. (BibTeX | Tags: Discontinuous Galerkin, Navier-Stokes) @inproceedings{LGM2008,
title = {Space-Time Discontinous Galerkin Method for Unsteady Compressible Navier-Stokes Equations},
author = {F. Lörcher and G. Gassner and C.-D. Munz},
year = {2008},
date = {2008-01-01},
booktitle = {AIAA-2007-3477 13th AIAA/CEAS Aeroacoustics Conference},
keywords = {Discontinuous Galerkin, Navier-Stokes}
}
|
2007 |
B. Weigand, G. Gassner The effect of wall conduction for the extended Graetz problem for laminar and turbulent channel flows (Article) International Journal of Heat and Mass Transfer, 50 (5-6), pp. 1097 - 1105, 2007. (Links | BibTeX | Tags: Analytical Solution, Graetz problem, Heat Transfer) @article{Weigand20071097,
title = {The effect of wall conduction for the extended Graetz problem for laminar and turbulent channel flows},
author = {B. Weigand and G. Gassner},
url = {http://www.sciencedirect.com/science/article/pii/S0017931006004996},
year = {2007},
date = {2007-01-01},
journal = {International Journal of Heat and Mass Transfer},
volume = {50},
number = {5-6},
pages = {1097 - 1105},
keywords = {Analytical Solution, Graetz problem, Heat Transfer}
}
|
Gregor Gassner, Frieder Lörcher, Claus-Dieter Munz A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes (Article) Journal of Computational Physics, 224 (2), pp. 1049 - 1063, 2007. (Links | BibTeX | Tags: Discontinuous Galerkin, Finite Volume, Space-Time, Viscous Riemann Problem) @article{dGRP,
title = {A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes},
author = {Gregor Gassner and Frieder Lörcher and Claus-Dieter Munz},
url = {http://www.sciencedirect.com/science/article/pii/S0021999106005651},
year = {2007},
date = {2007-01-01},
journal = {Journal of Computational Physics},
volume = {224},
number = {2},
pages = {1049 - 1063},
keywords = {Discontinuous Galerkin, Finite Volume, Space-Time, Viscous Riemann Problem}
}
|
Lörcher, F., Gassner, G., Munz, C.-D. A Discontinuous Galerkin Scheme Based on a Space—Time Expansion I. Inviscid Compressible Flow in One Space Dimension (Article) J. Sci. Comput., 32, pp. 175–199, 2007. (Links | BibTeX | Tags: Cauchy-Kovalevskaya Procedure, Disconinuous Galerkin, Local Timestepping, Space-Time) @article{Lorcher2007,
title = {A Discontinuous Galerkin Scheme Based on a Space—Time Expansion I. Inviscid Compressible Flow in One Space Dimension},
author = {Lörcher, F. and Gassner, G. and Munz, C.-D.},
url = {http://dl.acm.org/citation.cfm?id=1275082.1275086},
year = {2007},
date = {2007-01-01},
journal = {J. Sci. Comput.},
volume = {32},
pages = {175--199},
publisher = {Plenum Press},
address = {New York, NY, USA},
keywords = {Cauchy-Kovalevskaya Procedure, Disconinuous Galerkin, Local Timestepping, Space-Time}
}
|
Dinshaw S. Balsara, Christoph Altmann, Claus-Dieter Munz, Michael Dumbser A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes (Article) Journal of Computational Physics, 226 (1), pp. 586 - 620, 2007. (Links | BibTeX | Tags: Arbitrary High Order, Conservation Law, Discontinuous Galerkin, HWENO, MHD) @article{Balsara2007586,
title = {A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes},
author = {Dinshaw S. Balsara and Christoph Altmann and Claus-Dieter Munz and Michael Dumbser},
url = {http://www.sciencedirect.com/science/article/pii/S0021999107001842},
year = {2007},
date = {2007-01-01},
journal = {Journal of Computational Physics},
volume = {226},
number = {1},
pages = {586 - 620},
keywords = {Arbitrary High Order, Conservation Law, Discontinuous Galerkin, HWENO, MHD}
}
|
2006 |
F. Lörcher, G. Gassner, C.-D. Munz Arbitrary high order accurate time integration schemes for linear problems (Inproceeding) Proceedings of ECCOMAS CFD, 2006. (Links | BibTeX | Tags: Arbitrary High Order, Taylor Time Integration) @inproceedings{LGM2006,
title = {Arbitrary high order accurate time integration schemes for linear problems},
author = {F. Lörcher and G. Gassner and C.-D. Munz},
url = {http://proceedings.fyper.com/eccomascfd2006/documents/544.pdf},
year = {2006},
date = {2006-01-01},
booktitle = {Proceedings of ECCOMAS CFD},
keywords = {Arbitrary High Order, Taylor Time Integration}
}
|