Journal Articles

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)

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)

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An Analysis of the Dissipation and Dispersion errors of the PNPM Schemes (Unpublished)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)

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)

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, M. Staudenmaier, C.-D. Munz

High Order large Scale Calculations (Article)

inSiDE, 8, pp. 12-15, 2010.

(Links | BibTeX | Tags: 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)

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, 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)

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)

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)

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)

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)

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)

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)

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)

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

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)

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)

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)

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)

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)