PhD Thesis

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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)

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)

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)

M. Dumbser, G. Gassner, C.-D. Munz

Discontinuous Galerkin-Verfahren für zeitabhängige Advektions-Di ffusions-Gleichungen (Article)

Jahresbericht der Deutschen Mathematiker-Vereinigung Bd. 111, 2009.

(Links | BibTeX | Tags: 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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

2007

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)

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)