A Space-Time Expansion Discontinuous Galerkin Scheme With Local Time Stepping for the Ideal and Viscous MHD Equations

IEEE Transactions on Plasma Science ◽

10.1109/tps.2009.2014869 ◽

2009 ◽

Vol 37 (4) ◽

pp. 513-519 ◽

Author(s):

C. Altmann ◽

G. Gassner ◽

F. Lorcher ◽

C.-D. Munz

Keyword(s):

Discontinuous Galerkin ◽

Mhd Equations ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping ◽

Time Expansion ◽

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A space-time expansion discontinuous Galerkin scheme with local time-stepping for the ideal and viscous MHD equations

2008 IEEE 35th International Conference on Plasma Science ◽

10.1109/plasma.2008.4590752 ◽

2008 ◽

Author(s):

Ch. Altmann ◽

G. Gassner ◽

F. Lorcher ◽

C.-D. Munz

Keyword(s):

Discontinuous Galerkin ◽

Mhd Equations ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping ◽

Time Expansion ◽

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An Explicit Space-Time Discontinuous Galerkin Scheme with Local Time-Stepping for Unsteady Flows

Notes on Numerical Fluid Mechanics and Multidisciplinary Design - New Results in Numerical and Experimental Fluid Mechanics VII ◽

10.1007/978-3-642-14243-7_19 ◽

2010 ◽

pp. 151-158

Author(s):

Christoph Altmann ◽

Gregor Gassner ◽

Frieder Lörcher ◽

Arne Taube ◽

Jens Utzmann ◽

...

Keyword(s):

Discontinuous Galerkin ◽

Unsteady Flows ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping

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An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2008.02.015 ◽

2008 ◽

Vol 227 (11) ◽

pp. 5649-5670 ◽

Author(s):

Frieder Lörcher ◽

Gregor Gassner ◽

Claus-Dieter Munz

Keyword(s):

Discontinuous Galerkin ◽

Diffusion Equations ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping

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Cavity Simulations Using an Explicit Discontinuous Galerkin Scheme with Local Time-Stepping

Notes on Numerical Fluid Mechanics and Multidisciplinary Design - New Results in Numerical and Experimental Fluid Mechanics VIII ◽

10.1007/978-3-642-35680-3_82 ◽

2013 ◽

pp. 689-697

Author(s):

Arne Taube ◽

Gregor Gassner ◽

Claus-Dieter Munz

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping

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Dissipative terms and local time-stepping improvements in a spatial high order Discontinuous Galerkin scheme for the time-domain Maxwell’s equations

Journal of Computational Physics ◽

10.1016/j.jcp.2008.03.032 ◽

2008 ◽

Vol 227 (14) ◽

pp. 6795-6820 ◽

Author(s):

E. Montseny ◽

S. Pernet ◽

X. Ferriéres ◽

G. Cohen

Keyword(s):

Discontinuous Galerkin ◽

Time Domain ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping ◽

The Time Domain ◽

Dissipative Terms

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On the Numerical Simulation of a Scramjet Intake using a Space-Time-Expansion Discontinuous Galerkin Scheme

18th AIAA/3AF International Space Planes and Hypersonic Systems and Technologies Conference ◽

10.2514/6.2012-5977 ◽

2012 ◽

Author(s):

Muhammed Atak ◽

Marc Staudenmaier ◽

Christoph Altmann ◽

Gregor Gassner ◽

Claus-Dieter Munz

Keyword(s):

Numerical Simulation ◽

Discontinuous Galerkin ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

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A Discontinuous Galerkin Scheme based on a Space-Time Expansion II. Viscous Flow Equations in Multi Dimensions

Journal of Scientific Computing ◽

10.1007/s10915-007-9169-1 ◽

2007 ◽

Vol 34 (3) ◽

pp. 260-286 ◽

Author(s):

G. Gassner ◽

F. Lörcher ◽

C.-D. Munz

Keyword(s):

Viscous Flow ◽

Discontinuous Galerkin ◽

Galerkin Scheme ◽

Flow Equations ◽

Discontinuous Galerkin Scheme ◽

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A Discontinuous Galerkin Scheme Based on a Space–Time Expansion. I. Inviscid Compressible Flow in One Space Dimension

Journal of Scientific Computing ◽

10.1007/s10915-007-9128-x ◽

2007 ◽

Vol 32 (2) ◽

pp. 175-199 ◽

Author(s):

F. Lörcher ◽

G. Gassner ◽

C.-D. Munz

Keyword(s):

Compressible Flow ◽

Discontinuous Galerkin ◽

Space Dimension ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

Time Expansion ◽

Inviscid Compressible Flow ◽

One Space Dimension

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An eigenvector-based linear reconstruction approach for time stepping in discontinuous Galerkin scheme used to solve shallow water equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3645 ◽

2012 ◽

Vol 70 (12) ◽

pp. 1590-1604 ◽

Author(s):

Quentin Araud ◽

Pascal Finaud-Guyot ◽

Vincent Guinot ◽

Robert Mosé ◽

José Vazquez

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Linear Reconstruction

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A discontinuous Galerkin immersed boundary solver for compressible flows: Adaptive local time stepping for artificial viscosity–based shock‐capturing on cut cells

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4761 ◽

2019 ◽

Vol 91 (9) ◽

pp. 448-472 ◽

Author(s):

Markus Geisenhofer ◽

Florian Kummer ◽

Björn Müller

Keyword(s):

Discontinuous Galerkin ◽

Compressible Flows ◽

Artificial Viscosity ◽

Shock Capturing ◽

Immersed Boundary ◽

Time Stepping ◽

Local Time Stepping

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